[100+] Scientific Notation MCQs with Explanation Class 9 Physics

Scientific notation is a concise way to express very large or very small numbers, commonly used in science and mathematics. Mastering scientific notation simplifies calculations and data representation. These multiple-choice questions will gauge your proficiency in using scientific notation.

Which of the following numbers is written in scientific notation?
A) 500
B) 0.005
C) 50,000
D) 5,000,000
Correct Option: B
Explanation: Scientific notation involves expressing a number as the product of a coefficient and a power of 10, where the coefficient is greater than or equal to 1 and less than 10. Option B, 0.005, can be written as $5 \times 10^{-3}$ , fitting the criteria for scientific notation.
Which of the following is the correct scientific notation for the number 6,250,000?
A) $6.25 \times 10^5$
B) $6.25 \times 10^6$
C) $6.25 \times 10^7$
D) $6.25 \times 10^8$
Correct Option: B
Explanation: To express 6,250,000 in scientific notation, we move the decimal point to the left until we have a number between 1 and 10, and count the number of places moved. This gives us $6.25 \times 10^6$ .
What is the scientific notation of 0.00000045?
A) $4.5 \times 10^{-7}$
B) $4.5 \times 10^{-8}$
C) $4.5 \times 10^{-9}$
D) $4.5 \times 10^{-10}$
Correct Option: A
Explanation: 0.00000045 can be expressed in scientific notation as $4.5 \times 10^{-7}$ , where the decimal point is moved 7 places to the right to obtain a coefficient between 1 and 10.
What is $2.7 \times 10^4$ in standard notation?
A) 2700
B) 27,000
C) 270,000
D) 2,700,000
Correct Option: B
Explanation: To convert from scientific notation to standard notation, we move the decimal point to the right for a positive exponent. Thus, $2.7 \times 10^4$ becomes 27,000.
Which of the following represents the number 0.000067 in scientific notation?
A) $6.7 \times 10^{-5}$
B) $6.7 \times 10^{-6}$
C) $6.7 \times 10^{-7}$
D) $6.7 \times 10^{-8}$
Correct Option: C
Explanation: To express 0.000067 in scientific notation, we write it as $6.7 \times 10^{-5}$ since the decimal point is moved 5 places to the right.
What is the product of $3 \times 10^6$ and $4 \times 10^{-3}$ in scientific notation?
A) $1.2 \times 10^9$
B) $1.2 \times 10^3$
C) $1.2 \times 10^2$
D) $1.2 \times 10^{-9}$
Correct Option: A
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $3 \times 10^6 \times 4 \times 10^{-3} = 12 \times 10^3 = 1.2 \times 10^9$ .
What is the quotient of $2 \times 10^8$ divided by $5 \times 10^{-4}$ in scientific notation?
A) $4 \times 10^{12}$
B) $4 \times 10^{4}$
C) $4 \times 10^{2}$
D) $4 \times 10^{-4}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $2 \times 10^8 \div 5 \times 10^{-4} = \frac{2}{5} \times 10^{12} = 4 \times 10^{12}$ .
What is the result of $(3 \times 10^4)^2$ in scientific notation?
A) $9 \times 10^8$
B) $9 \times 10^7$
C) $9 \times 10^6$
D) $9 \times 10^5$
Correct Option: A
Explanation: To square a number in scientific notation, square the coefficient and double the exponent. Hence, $(3 \times 10^4)^2 = 9 \times 10^8$ .
Which of the following numbers is the smallest?
A) $5 \times 10^5$
B) $2 \times 10^6$
C) $8 \times 10^4$
D) $7 \times 10^3$
Correct Option: D
Explanation: In scientific notation, the smallest number is the one with the smallest exponent. Here, $7 \times 10^3$ has the smallest exponent (-3), making it the smallest number.
What is the scientific notation of 900,000?
A) $9 \times 10^4$
B) $9 \times 10^5$
C) $9 \times 10^6$
D) $9 \times 10^7$
Correct Option: B
Explanation: To express 900,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $9 \times 10^5$ .
In scientific notation, what does the exponent represent?
A) The number of decimal places
B) The number of zeros in the coefficient
C) The number of places the decimal point is moved
D) The number of significant figures
Correct Option: C
Explanation: The exponent in scientific notation indicates the number of places the decimal point is moved to obtain a coefficient between 1 and 10.
What is the scientific notation of 0.000045?
A) $4.5 \times 10^{-4}$
B) $4.5 \times 10^{-5}$
C) $4.5 \times 10^{-6}$
D) $4.5 \times 10^{-7}$
Correct Option: B
Explanation: To express 0.000045 in scientific notation, we write it as $4.5 \times 10^{-5}$ , where the decimal point is moved 5 places to the right.
Which of the following numbers is equivalent to $7 \times 10^2$ ?
A) 7000
B) 700
C) 70
D) 7
Correct Option: A
Explanation: $7 \times 10^2$ means moving the decimal point 2 places to the right, resulting in 7000.
What is the result of $6 \times 10^4 - 3 \times 10^3$ in scientific notation?
A) $5.7 \times 10^4$
B) $5.7 \times 10^3$
C) $5.7 \times 10^2$
D) $5.7 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $6 \times 10^4 - 3 \times 10^3 = 5.7 \times 10^4$ .
What is the scientific notation of 300?
A) $3 \times 10^2$
B) $3 \times 10^3$
C) $3 \times 10^4$
D) $3 \times 10^5$
Correct Option: A
Explanation: To express 300 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $3 \times 10^2$ .
What is the result of $2.5 \times 10^4 \times 5 \times 10^{-2}$ in scientific notation?
A) $1.25 \times 10^2$
B) $1.25 \times 10^3$
C) $1.25 \times 10^5$
D) $1.25 \times 10^6$
Correct Option: A
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $2.5 \times 10^4 \times 5 \times 10^{-2} = 12.5 \times 10^{2} = 1.25 \times 10^{2}$ .
What is the result of $4 \times 10^5 \div 2 \times 10^{-3}$ in scientific notation?
A) $2 \times 10^8$
B) $2 \times 10^3$
C) $2 \times 10^2$
D) $2 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $4 \times 10^5 \div 2 \times 10^{-3} = 2 \times 10^{8}$ .
What is the result of $(2 \times 10^3)^3$ in scientific notation?
A) $8 \times 10^9$
B) $8 \times 10^6$
C) $8 \times 10^7$
D) $8 \times 10^5$
Correct Option: A
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(2 \times 10^3)^3 = 8 \times 10^9$ .
Which of the following numbers is the largest?
A) $3 \times 10^4$
B) $2 \times 10^5$
C) $5 \times 10^3$
D) $4 \times 10^6$
Correct Option: D
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $4 \times 10^6$ has the largest exponent (6), making it the largest number.
What is the scientific notation of 800,000,000?
A) $8 \times 10^8$
B) $8 \times 10^9$
C) $8 \times 10^{10}$
D) $8 \times 10^{11}$
Correct Option: B
Explanation: To express 800,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $8 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 540,000?
A) $5.4 \times 10^5$
B) $5.4 \times 10^6$
C) $5.4 \times 10^7$
D) $5.4 \times 10^8$
Correct Option: A
Explanation: To express 540,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $5.4 \times 10^5$ .
What is the result of $7 \times 10^3 + 3 \times 10^4$ in scientific notation?
A) $3.7 \times 10^4$
B) $3.7 \times 10^3$
C) $3.7 \times 10^2$
D) $3.7 \times 10^1$
Correct Option: B
Explanation: When adding numbers in scientific notation, add the coefficients and keep the same exponent. Therefore, $7 \times 10^3 + 3 \times 10^4 = 3.7 \times 10^4$ .
What is the scientific notation of 0.00084?
A) $8.4 \times 10^{-4}$
B) $8.4 \times 10^{-5}$
C) $8.4 \times 10^{-6}$
D) $8.4 \times 10^{-7}$
Correct Option: A
Explanation: To express 0.00084 in scientific notation, we write it as $8.4 \times 10^{-4}$ , where the decimal point is moved 4 places to the right.
Which of the following numbers is equivalent to $9 \times 10^5$ ?
A) 9000
B) 90,000
C) 900,000
D) 9,000,000
Correct Option: C
Explanation: $9 \times 10^5$ means moving the decimal point 5 places to the right, resulting in 900,000.
What is the result of $5.2 \times 10^4 \div 2 \times 10^{-2}$ in scientific notation?
A) $2.6 \times 10^2$
B) $2.6 \times 10^3$
C) $2.6 \times 10^4$
D) $2.6 \times 10^5$
Correct Option: C
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $5.2 \times 10^4 \div 2 \times 10^{-2} = 2.6 \times 10^{6-(-2)} = 2.6 \times 10^4$ .
What is the result of $(4 \times 10^3)^2$ in scientific notation?
A) $1.6 \times 10^7$
B) $1.6 \times 10^6$
C) $1.6 \times 10^5$
D) $1.6 \times 10^4$
Correct Option: B
Explanation: To square a number in scientific notation, square the coefficient and double the exponent. Hence, $(4 \times 10^3)^2 = 16 \times 10^6 = 1.6 \times 10^7$ .
Which of the following numbers is the smallest?
A) $2 \times 10^3$
B) $3 \times 10^2$
C) $5 \times 10^4$
D) $4 \times 10^1$
Correct Option: D
Explanation: In scientific notation, the smallest number is the one with the smallest exponent. Here, $4 \times 10^1$ has the smallest exponent (1), making it the smallest number.
What is the scientific notation of 700,000,000?
A) $7 \times 10^8$
B) $7 \times 10^9$
C) $7 \times 10^{10}$
D) $7 \times 10^{11}$
Correct Option: B
Explanation: To express 700,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $7 \times 10^9$ .
In scientific notation, what is the minimum number of significant figures?
A) One
B) Two
C) Three
D) Zero
Correct Option: A
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the minimum number of significant figures is one.
What is the scientific notation of 950?
A) $9.5 \times 10^2$
B) $9.5 \times 10^3$
C) $9.5 \times 10^4$
D) $9.5 \times 10^5$
Correct Option: A
Explanation: To express 950 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $9.5 \times 10^2$ .
What is the result of $3 \times 10^4 - 2 \times 10^3$ in scientific notation?
A) $2.8 \times 10^4$
B) $2.8 \times 10^3$
C) $2.8 \times 10^2$
D) $2.8 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $3 \times 10^4 - 2 \times 10^3 = 2.8 \times 10^4$ .
What is the scientific notation of 0.000075?
A) $7.5 \times 10^{-5}$
B) $7.5 \times 10^{-6}$
C) $7.5 \times 10^{-7}$
D) $7.5 \times 10^{-8}$
Correct Option: A
Explanation: To express 0.000075 in scientific notation, we write it as $7.5 \times 10^{-5}$ , where the decimal point is moved 5 places to the right.
Which of the following numbers is equivalent to $6 \times 10^6$ ?
A) 6000
B) 600,000
C) 6,000,000
D) 60,000,000
Correct Option: C
Explanation: $6 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 6,000,000.
What is the result of $2 \times 10^4 \times 4 \times 10^{-3}$ in scientific notation?
A) $8 \times 10^3$
B) $8 \times 10^1$
C) $8 \times 10^5$
D) $8 \times 10^7$
Correct Option: A
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $2 \times 10^4 \times 4 \times 10^{-3} = 8 \times 10^{1} = 8 \times 10^3$ .
What is the result of $5 \times 10^5 \div 2 \times 10^{-2}$ in scientific notation?
A) $2.5 \times 10^8$
B) $2.5 \times 10^3$
C) $2.5 \times 10^2$
D) $2.5 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $5 \times 10^5 \div 2 \times 10^{-2} = 2.5 \times 10^{7-(-2)} = 2.5 \times 10^8$ .
What is the result of $(5 \times 10^3)^3$ in scientific notation?
A) $1.25 \times 10^7$
B) $1.25 \times 10^6$
C) $1.25 \times 10^5$
D) $1.25 \times 10^4$
Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(5 \times 10^3)^3 = 125 \times 10^6 = 1.25 \times 10^7$ .
Which of the following numbers is the largest?
A) $7 \times 10^4$
B) $6 \times 10^3$
C) $5 \times 10^5$
D) $4 \times 10^2$
Correct Option: C
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $5 \times 10^5$ has the largest exponent (5), making it the largest number.

What is the scientific notation of 600,000,000?
A) $6 \times 10^8$
B) $6 \times 10^9$
C) $6 \times 10^{10}$
D) $6 \times 10^{11}$
Correct Option: B
Explanation: To express 600,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $6 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 3000?
A) $3 \times 10^3$
B) $3 \times 10^4$
C) $3 \times 10^5$
D) $3 \times 10^6$
Correct Option: A
Explanation: To express 3000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $3 \times 10^3$ .
What is the result of $6 \times 10^4 - 5 \times 10^3$ in scientific notation?
A) $5.5 \times 10^4$
B) $5.5 \times 10^3$
C) $5.5 \times 10^2$
D) $5.5 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $6 \times 10^4 - 5 \times 10^3 = 5.5 \times 10^4$ .
What is the scientific notation of 0.000062?
A) $6.2 \times 10^{-5}$
B) $6.2 \times 10^{-6}$
C) $6.2 \times 10^{-7}$
D) $6.2 \times 10^{-8}$
Correct Option: B
Explanation: To express 0.000062 in scientific notation, we write it as $6.2 \times 10^{-6}$ , where the decimal point is moved 6 places to the right.
Which of the following numbers is equivalent to $8 \times 10^5$ ?
A) 80,000
B) 800,000
C) 8,000,000
D) 80,000,000
Correct Option: B
Explanation: $8 \times 10^5$ means moving the decimal point 5 places to the right, resulting in 800,000.
What is the result of $4 \times 10^5 \times 2 \times 10^{-3}$ in scientific notation?
A) $8 \times 10^2$
B) $8 \times 10^1$
C) $8 \times 10^5$
D) $8 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $4 \times 10^5 \times 2 \times 10^{-3} = 8 \times 10^{5-(-3)} = 8 \times 10^8$ .
What is the result of $7 \times 10^5 \div 3 \times 10^{-2}$ in scientific notation?
A) $2.3 \times 10^8$
B) $2.3 \times 10^3$
C) $2.3 \times 10^2$
D) $2.3 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $7 \times 10^5 \div 3 \times 10^{-2} = 2.3 \times 10^{7-(-2)} = 2.3 \times 10^8$ .
What is the result of $(6 \times 10^3)^3$ in scientific notation?
A) $2.16 \times 10^7$
B) $2.16 \times 10^6$
C) $2.16 \times 10^5$
D) $2.16 \times 10^4$
Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(6 \times 10^3)^3 = 216 \times 10^6 = 2.16 \times 10^7$ .
Which of the following numbers is the largest?
A) $9 \times 10^6$
B) $8 \times 10^5$
C) $7 \times 10^4$
D) $6 \times 10^3$
Correct Option: A
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $9 \times 10^6$ has the largest exponent (6), making it the largest number.
What is the scientific notation of 500,000,000?
A) $5 \times 10^8$
B) $5 \times 10^9$
C) $5 \times 10^{10}$
D) $5 \times 10^{11}$
Correct Option: B
Explanation: To express 500,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $5 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 4500?
A) $4.5 \times 10^3$
B) $4.5 \times 10^4$
C) $4.5 \times 10^5$
D) $4.5 \times 10^6$
Correct Option: A
Explanation: To express 4500 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $4.5 \times 10^3$ .
What is the result of $8 \times 10^4 - 4 \times 10^3$ in scientific notation?
A) $7.6 \times 10^4$
B) $7.6 \times 10^3$
C) $7.6 \times 10^2$
D) $7.6 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $8 \times 10^4 - 4 \times 10^3 = 7.6 \times 10^4$ .
What is the scientific notation of 0.000042?
A) $4.2 \times 10^{-5}$
B) $4.2 \times 10^{-6}$
C) $4.2 \times 10^{-7}$
D) $4.2 \times 10^{-8}$
Correct Option: A
Explanation: To express 0.000042 in scientific notation, we write it as $4.2 \times 10^{-5}$ , where the decimal point is moved 5 places to the right.
Which of the following numbers is equivalent to $7 \times 10^6$ ?
A) 70,000
B) 700,000
C) 7,000,000
D) 70,000,000
Correct Option: C
Explanation: $7 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 7,000,000.
What is the result of $3 \times 10^5 \times 2 \times 10^{-3}$ in scientific notation?
A) $6 \times 10^2$
B) $6 \times 10^1$
C) $6 \times 10^5$
D) $6 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $3 \times 10^5 \times 2 \times 10^{-3} = 6 \times 10^{5-(-3)} = 6 \times 10^8$ .
What is the result of $9 \times 10^5 \div 2 \times 10^{-2}$ in scientific notation?
A) $4.5 \times 10^7$
B) $4.5 \times 10^3$
C) $4.5 \times 10^2$
D) $4.5 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $9 \times 10^5 \div 2 \times 10^{-2} = 4.5 \times 10^{5-(-2)} = 4.5 \times 10^7$ .
What is the result of $(7 \times 10^3)^3$ in scientific notation?
A) $2.73 \times 10^7$
B) $2.73 \times 10^6$
C) $2.73 \times 10^5$
D) $2.73 \times 10^4$
Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(7 \times 10^3)^3 = 343 \times 10^6 = 2.73 \times 10^7$ .
Which of the following numbers is the largest?
A) $6 \times 10^4$
B) $5 \times 10^3$
C) $4 \times 10^5$
D) $3 \times 10^2$
Correct Option: C
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $4 \times 10^5$ has the largest exponent (5), making it the largest number.
What is the scientific notation of 400,000,000?
A) $4 \times 10^8$
B) $4 \times 10^9$
C) $4 \times 10^{10}$
D) $4 \times 10^{11}$
Correct Option: B
Explanation: To express 400,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $4 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 3400?
A) $3.4 \times 10^3$
B) $3.4 \times 10^4$
C) $3.4 \times 10^5$
D) $3.4 \times 10^6$
Correct Option: A
Explanation: To express 3400 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $3.4 \times 10^3$ .
What is the result of $7 \times 10^4 - 2 \times 10^3$ in scientific notation?
A) $6.8 \times 10^4$
B) $6.8 \times 10^3$
C) $6.8 \times 10^2$
D) $6.8 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $7 \times 10^4 - 2 \times 10^3 = 6.8 \times 10^4$ .
What is the scientific notation of 0.000073?
A) $7.3 \times 10^{-5}$
B) $7.3 \times 10^{-6}$
C) $7.3 \times 10^{-7}$
D) $7.3 \times 10^{-8}$
Correct Option: A
Explanation: To express 0.000073 in scientific notation, we write it as $7.3 \times 10^{-5}$ , where the decimal point is moved 5 places to the right.
Which of the following numbers is equivalent to $5 \times 10^6$ ?
A) 5000
B) 500,000
C) 5,000,000
D) 50,000,000
Correct Option: C
Explanation: $5 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 5,000,000.
What is the result of $4 \times 10^5 \times 3 \times 10^{-3}$ in scientific notation?
A) $1.2 \times 10^2$
B) $1.2 \times 10^1$
C) $1.2 \times 10^5$
D) $1.2 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $4 \times 10^5 \times 3 \times 10^{-3} = 12 \times 10^{5-(-3)} = 12 \times 10^8$ .
What is the result of $5 \times 10^5 \div 2 \times 10^{-2}$ in scientific notation?
A) $2.5 \times 10^8$
B) $2.5 \times 10^3$
C) $2.5 \times 10^2$
D) $2.5 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $5 \times 10^5 \div 2 \times 10^{-2} = 2.5 \times 10^{5-(-2)} = 2.5 \times 10^8$ .
What is the result of $(2 \times 10^3)^3$ in scientific notation?
A) $8 \times 10^9$
B) $8 \times 10^6$
C) $8 \times 10^7$
D) $8 \times 10^5$
Correct Option: A
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(2 \times 10^3)^3 = 8 \times 10^9$ .
Which of the following numbers is the smallest?
A) $3 \times 10^4$
B) $4 \times 10^5$
C) $5 \times 10^3$
D) $2 \times 10^2$
Correct Option: D
Explanation: In scientific notation, the smallest number is the one with the smallest exponent. Here, $2 \times 10^2$ has the smallest exponent (2), making it the smallest number.
What is the scientific notation of 900,000,000?
A) $9 \times 10^8$
B) $9 \times 10^9$
C) $9 \times 10^{10}$
D) $9 \times 10^{11}$
Correct Option: B
Explanation: To express 900,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $9 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 6200?
A) $6.2 \times 10^3$
B) $6.2 \times 10^4$
C) $6.2 \times 10^5$
D) $6.2 \times 10^6$
Correct Option: A
Explanation: To express 6200 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $6.2 \times 10^3$ .
What is the result of $9 \times 10^4 - 2 \times 10^3$ in scientific notation?
A) $8.8 \times 10^4$
B) $8.8 \times 10^3$
C) $8.8 \times 10^2$
D) $8.8 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $9 \times 10^4 - 2 \times 10^3 = 8.8 \times 10^4$ .
What is the scientific notation of 0.000083?
A) $8.3 \times 10^{-5}$
B) $8.3 \times 10^{-6}$
C) $8.3 \times 10^{-7}$
D) $8.3 \times 10^{-8}$
Correct Option: A
Explanation: To express 0.000083 in scientific notation, we write it as $8.3 \times 10^{-5}$ , where the decimal point is moved 5 places to the right.
Which of the following numbers is equivalent to $6 \times 10^6$ ?
A) 600,000
B) 6000
C) 6,000,000
D) 60,000,000
Correct Option: C
Explanation: $6 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 6,000,000.
What is the result of $7 \times 10^5 \times 3 \times 10^{-3}$ in scientific notation?
A) $2.1 \times 10^2$
B) $2.1 \times 10^1$
C) $2.1 \times 10^5$
D) $2.1 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $7 \times 10^5 \times 3 \times 10^{-3} = 21 \times 10^{5-(-3)} = 21 \times 10^8$ .
What is the result of $8 \times 10^5 \div 2 \times 10^{-2}$ in scientific notation?
A) $4 \times 10^8$
B) $4 \times 10^3$
C) $4 \times 10^2$
D) $4 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $8 \times 10^5 \div 2 \times 10^{-2} = 4 \times 10^{5-(-2)} = 4 \times 10^8$ .
What is the result of $(3 \times 10^3)^3$ in scientific notation?
A) $2.7 \times 10^7$
B) $2.7 \times 10^6$
C) $2.7 \times 10^5$
D) $2.7 \times 10^4$
Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(3 \times 10^3)^3 = 27 \times 10^6 = 2.7 \times 10^7$ .
Which of the following numbers is the largest?
A) $4 \times 10^4$
B) $3 \times 10^3$
C) $2 \times 10^5$
D) $1 \times 10^2$
Correct Option: C
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $2 \times 10^5$ has the largest exponent (5), making it the largest number.
What is the scientific notation of 800,000,000?
A) $8 \times 10^8$
B) $8 \times 10^9$
C) $8 \times 10^{10}$
D) $8 \times 10^{11}$
Correct Option: B
Explanation: To express 800,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $8 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 5600?
A) $5.6 \times 10^3$
B) $5.6 \times 10^4$
C) $5.6 \times 10^5$
D) $5.6 \times 10^6$
Correct Option: A
Explanation: To express 5600 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $5.6 \times 10^3$ .
What is the result of $8 \times 10^4 - 3 \times 10^3$ in scientific notation?
A) $7.7 \times 10^4$
B) $7.7 \times 10^3$
C) $7.7 \times 10^2$
D) $7.7 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $8 \times 10^4 - 3 \times 10^3 = 7.7 \times 10^4$ .
What is the scientific notation of 0.000093?
A) $9.3 \times 10^{-5}$
B) $9.3 \times 10^{-6}$
C) $9.3 \times 10^{-7}$
D) $9.3 \times 10^{-8}$
Correct Option: A
Explanation: To express 0.000093 in scientific notation, we write it as $9.3 \times 10^{-5}$ , where the decimal point is moved 5 places to the right.
Which of the following numbers is equivalent to $4 \times 10^6$ ?
A) 40,000
B) 400,000
C) 4,000,000
D) 40,000,000
Correct Option: C
Explanation: $4 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 4,000,000.
What is the result of $6 \times 10^5 \times 3 \times 10^{-3}$ in scientific notation?
A) $1.8 \times 10^3$
B) $1.8 \times 10^2$
C) $1.8 \times 10^5$
D) $1.8 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $6 \times 10^5 \times 3 \times 10^{-3} = 18 \times 10^{5-(-3)} = 18 \times 10^8$ .
What is the result of $7 \times 10^5 \div 3 \times 10^{-2}$ in scientific notation?
A) $2.3 \times 10^8$
B) $2.3 \times 10^3$
C) $2.3 \times 10^2$
D) $2.3 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $7 \times 10^5 \div 3 \times 10^{-2} = 2.3 \times 10^{5-(-2)} = 2.3 \times 10^8$ .
What is the result of $(4 \times 10^3)^3$ in scientific notation?
A) $6.4 \times 10^7$
B) $6.4 \times 10^6$
C) $6.4 \times 10^5$
D) $6.4 \times 10^4$ Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(4 \times 10^3)^3 = 64 \times 10^6 = 6.4 \times 10^7$ .
Which of the following numbers is the largest?
A) $5 \times 10^4$
B) $4 \times 10^5$
C) $3 \times 10^3$
D) $2 \times 10^2$
Correct Option: B
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $4 \times 10^5$ has the largest exponent (5), making it the largest number.
What is the scientific notation of 700,000,000?
A) $7 \times 10^8$
B) $7 \times 10^9$
C) $7 \times 10^{10}$
D) $7 \times 10^{11}$
Correct Option: B
Explanation: To express 700,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $7 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 8700?
A) $8.7 \times 10^3$
B) $8.7 \times 10^4$
C) $8.7 \times 10^5$
D) $8.7 \times 10^6$
Correct Option: A
Explanation: To express 8700 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $8.7 \times 10^3$ .
What is the result of $6 \times 10^4 - 1 \times 10^3$ in scientific notation?
A) $5.9 \times 10^4$
B) $5.9 \times 10^3$
C) $5.9 \times 10^2$
D) $5.9 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $6 \times 10^4 - 1 \times 10^3 = 5.9 \times 10^4$ .
What is the scientific notation of 0.000063?
A) $6.3 \times 10^{-5}$
B) $6.3 \times 10^{-6}$
C) $6.3 \times 10^{-7}$
D) $6.3 \times 10^{-8}$
Correct Option: B
Explanation: To express 0.000063 in scientific notation, we write it as $6.3 \times 10^{-6}$ , where the decimal point is moved 6 places to the right.
Which of the following numbers is equivalent to $9 \times 10^6$ ?
A) 90,000
B) 900,000
C) 9,000,000
D) 90,000,000
Correct Option: C
Explanation: $9 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 9,000,000.
What is the result of $3 \times 10^5 \times 4 \times 10^{-3}$ in scientific notation?
A) $1.2 \times 10^2$
B) $1.2 \times 10^1$
C) $1.2 \times 10^5$
D) $1.2 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $3 \times 10^5 \times 4 \times 10^{-3} = 12 \times 10^{5-(-3)} = 12 \times 10^8$ .
What is the result of $8 \times 10^5 \div 1 \times 10^{-2}$ in scientific notation?
A) $8 \times 10^7$
B) $8 \times 10^3$
C) $8 \times 10^2$
D) $8 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $8 \times 10^5 \div 1 \times 10^{-2} = 8 \times 10^{5-(-2)} = 8 \times 10^7$ .
What is the result of $(5 \times 10^3)^3$ in scientific notation?
A) $1.25 \times 10^8$
B) $1.25 \times 10^7$
C) $1.25 \times 10^6$
D) $1.25 \times 10^5$
Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(5 \times 10^3)^3 = 125 \times 10^6 = 1.25 \times 10^7$ .
Which of the following numbers is the smallest?
A) $8 \times 10^3$
B) $7 \times 10^4$
C) $6 \times 10^5$
D) $5 \times 10^2$
Correct Option: D
Explanation: In scientific notation, the smallest number is the one with the smallest exponent. Here, $5 \times 10^2$ has the smallest exponent (2), making it the smallest number.
What is the scientific notation of 600,000,000?
A) $6 \times 10^8$
B) $6 \times 10^9$
C) $6 \times 10^{10}$
D) $6 \times 10^{11}$
Correct Option: B
Explanation: To express 600,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $6 \times 10^9$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.
What is the scientific notation of 7800?
A) $7.8 \times 10^3$
B) $7.8 \times 10^4$
C) $7.8 \times 10^5$
D) $7.8 \times 10^6$
Correct Option: A
Explanation: To express 7800 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $7.8 \times 10^3$ .
What is the result of $4 \times 10^4 - 2 \times 10^3$ in scientific notation?
A) $3.8 \times 10^4$
B) $3.8 \times 10^3$
C) $3.8 \times 10^2$
D) $3.8 \times 10^1$
Correct Option: A
Explanation: When subtracting numbers in scientific notation, subtract the coefficients and keep the same exponent. Therefore, $4 \times 10^4 - 2 \times 10^3 = 3.8 \times 10^4$ .
What is the scientific notation of 0.000076?
A) $7.6 \times 10^{-5}$
B) $7.6 \times 10^{-6}$
C) $7.6 \times 10^{-7}$
D) $7.6 \times 10^{-8}$
Correct Option: B
Explanation: To express 0.000076 in scientific notation, we write it as $7.6 \times 10^{-6}$ , where the decimal point is moved 6 places to the right.
Which of the following numbers is equivalent to $3 \times 10^6$ ?
A) 30,000
B) 300,000
C) 3,000,000
D) 30,000,000
Correct Option: C
Explanation: $3 \times 10^6$ means moving the decimal point 6 places to the right, resulting in 3,000,000.
What is the result of $5 \times 10^5 \times 2 \times 10^{-3}$ in scientific notation?
A) $1 \times 10^3$
B) $1 \times 10^1$
C) $1 \times 10^5$
D) $1 \times 10^7$
Correct Option: C
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. Therefore, $5 \times 10^5 \times 2 \times 10^{-3} = 10 \times 10^{5-(-3)} = 10 \times 10^8 = 1 \times 10^9$ .
What is the result of $6 \times 10^5 \div 3 \times 10^{-2}$ in scientific notation?
A) $2 \times 10^8$
B) $2 \times 10^3$
C) $2 \times 10^2$
D) $2 \times 10^{-2}$
Correct Option: A
Explanation: When dividing numbers in scientific notation, divide the coefficients and subtract the exponents. Therefore, $6 \times 10^5 \div 3 \times 10^{-2} = 2 \times 10^{5-(-2)} = 2 \times 10^8$ .
What is the result of $(6 \times 10^3)^3$ in scientific notation?
A) $2.16 \times 10^9$
B) $2.16 \times 10^8$
C) $2.16 \times 10^7$
D) $2.16 \times 10^6$
Correct Option: B
Explanation: To cube a number in scientific notation, cube the coefficient and triple the exponent. Hence, $(6 \times 10^3)^3 = 216 \times 10^6 = 2.16 \times 10^8$ .
Which of the following numbers is the largest?
A) $3 \times 10^4$
B) $2 \times 10^5$
C) $1 \times 10^3$
D) $4 \times 10^2$
Correct Option: B
Explanation: In scientific notation, the largest number is the one with the largest exponent. Here, $2 \times 10^5$ has the largest exponent (5), making it the largest number.
What is the scientific notation of 500,000,000?
A) $5 \times 10^8$
B) $5 \times 10^9$
C) $5 \times 10^{10}$
D) $5 \times 10^{11}$
Correct Option: A
Explanation: To express 500,000,000 in scientific notation, we move the decimal point to the left until we have a coefficient between 1 and 10, counting the number of places moved. This gives us $5 \times 10^8$ .
In scientific notation, what is the maximum number of significant figures?
A) One
B) Two
C) Three
D) Infinite
Correct Option: C
Explanation: In scientific notation, the coefficient is expressed with one non-zero digit before the decimal point, followed by any number of significant figures. Therefore, the maximum number of significant figures is three.