[100+] Significant Figures MCQs with Explanation Class 9 Physics

Significant figures are digits in a number that carry meaning regarding the precision of a measurement. Mastery of significant figures ensures accurate representation and reporting of measured quantities. These multiple-choice questions will assess your comprehension of significant figures and their application in calculations.

What is the correct number of significant figures in the measurement 0.00350 m?
A) 2
B) 3
C) 4
D) 5
Correct Option: C
Explanation: The zeros before the first non-zero digit are not significant. Therefore, only the digits 3, 5, and 0 after the decimal point are significant, giving us 3 significant figures.
How many significant figures are there in the number 6004?
A) 2
B) 3
C) 4
D) 5
Correct Option: 4
Explanation: All non-zero digits are significant, so all four digits in 6004 are significant.
Which of the following is an example of a measured quantity?
A) 100 cm
B) 1 dozen
C) 60 minutes
D) 5 people
Correct Option: A
Explanation: Measured quantities are those obtained through measurement instruments like rulers, meters, etc.
What is the result of the expression $5.2 \times 10^3 \times 3.15 \times 10^{-2}$ ?
A) $1.643 \times 10^2$
B) $1.643 \times 10^1$
C) $1.643 \times 10^5$
D) $1.643 \times 10^6$
Correct Option: A
Explanation: When multiplying numbers in scientific notation, multiply the coefficients and add the exponents.
How many significant figures are there in the measurement 40.00 g?
A) 2
B) 3
C) 4
D) 5
Correct Option: D
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 40.00 g has 4 significant figures.
What is the correct result of the calculation $(7.21 \times 10^2) - (2.05 \times 10^1)$ ?
A) $7.21 \times 10^1$
B) $7.00 \times 10^2$
C) $7.00 \times 10^1$
D) $7.20 \times 10^2$
Correct Option: D
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following is not a rule for determining significant figures?
A) Non-zero digits are always significant.
B) Zeros between significant figures are significant.
C) Leading zeros are never significant.
D) Trailing zeros after a decimal point are always significant.
Correct Option: D
Explanation: Trailing zeros after a decimal point are significant, but trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $\frac{4.50 \times 10^3}{3.00 \times 10^1}$ ?
A) $1.5 \times 10^2$
B) $1.5 \times 10^3$
C) $1.5 \times 10^1$
D) $1.5 \times 10^4$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
Which of the following measurements has the fewest significant figures?
A) 0.0054 cm
B) 54.00 cm
C) 5400 cm
D) 0.540 cm
Correct Option: D
Explanation: The measurement with the fewest non-zero digits has the fewest significant figures.
What is the result of the calculation $(2.40 \times 10^3) \times (3.00 \times 10^{-2})$ ?
A) $7.20 \times 10^1$
B) $7.20 \times 10^3$
C) $7.20 \times 10^5$
D) $7.20 \times 10^2$
Correct Option: D
Explanation: Multiply the coefficients and add the exponents.
How many significant figures are there in the measurement 0.004506 kg?
A) 3
B) 4
C) 5
D) 6
Correct Option: 4
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 0.004506 kg has 4 significant figures.
What is the result of the calculation $\frac{6.30 \times 10^5}{7.00 \times 10^1}$ ?
A) $9.00 \times 10^4$
B) $9.00 \times 10^6$
C) $9.00 \times 10^3$
D) $9.00 \times 10^2$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
Which of the following numbers has the least number of significant figures?
A) 40
B) 0.0040
C) 40.00
D) 4000
Correct Option: A
Explanation: 40 has only one significant figure, whereas the others have more.
What is the result of the expression $6.22 \times (4.30 \times 10^2)$ ?
A) $2.673 \times 10^3$
B) $2.67 \times 10^3$
C) $2.673 \times 10^2$
D) $2.67 \times 10^2$
Correct Option: A
Explanation: Multiply the coefficients and add the exponents.
How many significant figures are there in the number 0.0040200 m?
A) 3
B) 4
C) 5
D) 6
Correct Option: 5
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 0.0040200 m has 5 significant figures.
What is the result of the calculation $(8.70 \times 10^2) + (3.20 \times 10^1)$ ?
A) $9.02 \times 10^2$
B) $9.02 \times 10^3$
C) $9.02 \times 10^1$
D) $9.02 \times 10^4$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 0.03050
B) 20.405
C) 300
D) 0.007
Correct Option: B
Explanation: 20.405 has five significant figures, more than the other options.
What is the result of the calculation $\frac{7.56 \times 10^4}{9.60 \times 10^2}$ ?
A) $7.88 \times 10^3$
B) $7.88 \times 10^5$
C) $7.88 \times 10^1$
D) $7.88 \times 10^2$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 5040 kg?
A) 2
B) 3
C) 4
D) 5
Correct Option: 3
Explanation: All non-zero digits are significant, so 5040 kg has 3 significant figures.
What is the result of the calculation $(6.20 \times 10^1) \times (4.50 \times 10^2)$ ?
A) $2.790 \times 10^2$
B) $2.79 \times 10^4$
C) $2.790 \times 10^4$
D) $2.79 \times 10^2$
Correct Option: C
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 400
B) 400.0
C) 4.00
D) 40.00
Correct Option: A
Explanation: 400 has only one significant figure, whereas the others have more.
What is the result of the calculation $(5.00 \times 10^2) - (2.00 \times 10^1)$ ?
A) $4.80 \times 10^2$
B) $3.00 \times 10^2$
C) $4.80 \times 10^1$
D) $3.00 \times 10^1$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
How many significant figures are there in the number 400.000?
A) 2
B) 3
C) 4
D) 6
Correct Option: 6
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 400.000 has 6 significant figures.
What is the result of the expression $\frac{8.90 \times 10^4}{2.30 \times 10^3}$ ?
A) $3.87 \times 10^1$
B) $3.87 \times 10^7$
C) $3.87 \times 10^2$
D) $3.87 \times 10^4$
Correct Option: C
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
Which of the following measurements has the fewest significant figures?
A) 0.00508 cm
B) 5.008 cm
C) 50.08 cm
D) 500.8 cm
Correct Option: B
Explanation: The measurement with the fewest non-zero digits has the fewest significant figures.
What is the result of the calculation $(3.20 \times 10^2) + (4.50 \times 10^1)$ ?
A) $3.65 \times 10^2$
B) $3.65 \times 10^1$
C) $3.65 \times 10^3$
D) $3.65 \times 10^0$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
How many significant figures are there in the measurement 0.007040 m?
A) 3
B) 4
C) 5
D) 6
Correct Option: 4
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 0.007040 m has 4 significant figures.
What is the result of the calculation $(5.00 \times 10^1) \times (3.50 \times 10^2)$ ?
A) $1.75 \times 10^3$
B) $1.75 \times 10^4$
C) $1.75 \times 10^2$
D) $1.75 \times 10^5$
Correct Option: B
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the most significant figures?
A) 70
B) 0.0070
C) 70.00
D) 7000
Correct Option: C
Explanation: 70.00 has four significant figures, more than the other options.
What is the result of the calculation $\frac{5.40 \times 10^3}{1.80 \times 10^1}$ ?
A) $3.00 \times 10^2$
B) $3.00 \times 10^1$
C) $3.00 \times 10^0$
D) $3.00 \times 10^3$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 3.0007 m?
A) 3
B) 4
C) 5
D) 6
Correct Option: 5
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 3.0007 m has 5 significant figures.
What is the result of the calculation $(4.80 \times 10^3) - (3.60 \times 10^2)$ ?
A) $4.44 \times 10^3$
B) $4.80 \times 10^2$
C) $4.80 \times 10^4$
D) $4.44 \times 10^2$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.0040
B) 40.0
C) 4.000
D) 400
Correct Option: A
Explanation: 0.0040 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{9.00 \times 10^3}{3.00 \times 10^1}$ ?
A) $3.00 \times 10^2$
B) $3.00 \times 10^3$
C) $3.00 \times 10^1$
D) $3.00 \times 10^4$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 7000 s?
A) 2
B) 3
C) 4
D) 5
Correct Option: 1
Explanation: The measurement 7000 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(4.20 \times 10^2) \times (3.60 \times 10^1)$ ?
A) $1.51 \times 10^2$
B) $1.51 \times 10^4$
C) $1.51 \times 10^3$
D) $1.51 \times 10^5$
Correct Option: C
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the most significant figures?
A) 70
B) 700
C) 0.07
D) 0.007
Correct Option: B
Explanation: 700 has three significant figures, more than the other options.
What is the result of the calculation $\frac{5.40 \times 10^3}{2.00 \times 10^2}$ ?
A) $2.70 \times 10^1$
B) $2.70 \times 10^2$
C) $2.70 \times 10^3$
D) $2.70 \times 10^4$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 0.00400 m?
A) 2
B) 3
C) 4
D) 5
Correct Option: 3
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 0.00400 m has 3 significant figures.
What is the result of the calculation $(6.00 \times 10^2) - (4.80 \times 10^1)$ ?
A) $5.52 \times 10^2$
B) $5.52 \times 10^1$
C) $5.52 \times 10^3$
D) $5.52 \times 10^0$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.00300
B) 0.000300
C) 0.0000300
D) 0.00000300
Correct Option: D
Explanation: 0.00000300 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{8.40 \times 10^3}{6.00 \times 10^1}$ ?
A) $1.40 \times 10^3$
B) $1.40 \times 10^2$
C) $1.40 \times 10^1$
D) $1.40 \times 10^4$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 0.0060500 kg?
A) 2
B) 3
C) 4
D) 5
Correct Option: 5
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 0.0060500 kg has 5 significant figures.
What is the result of the calculation $(4.80 \times 10^3) + (2.00 \times 10^2)$ ?
A) $4.62 \times 10^3$
B) $4.62 \times 10^4$
C) $4.62 \times 10^2$
D) $4.62 \times 10^5$
Correct Option: B
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 20.020
B) 200
C) 0.0020020
D) 2000
Correct Option: A
Explanation: 20.020 has five significant figures, more than the other options.
What is the result of the calculation $\frac{5.40 \times 10^3}{3.00 \times 10^1}$ ?
A) $1.80 \times 10^2$
B) $1.80 \times 10^1$
C) $1.80 \times 10^0$
D) $1.80 \times 10^3$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 3000 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 3000 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(3.00 \times 10^1) \times (4.20 \times 10^2)$ ?
A) $1.26 \times 10^3$
B) $1.26 \times 10^4$
C) $1.26 \times 10^2$
D) $1.26 \times 10^5$
Correct Option: A
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 0.00205
B) 0.0205
C) 0.205
D) 2.05
Correct Option: C
Explanation: 0.205 has three significant figures, fewer than the other options.
What is the result of the calculation $\frac{7.20 \times 10^3}{9.00 \times 10^1}$ ?
A) $8.00 \times 10^2$
B) $8.00 \times 10^1$
C) $8.00 \times 10^0$
D) $8.00 \times 10^3$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 5.0000 m?
A) 2
B) 3
C) 4
D) 6
Correct Option: 6
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 5.0000 m has 6 significant figures.
What is the result of the calculation $(4.50 \times 10^2) - (1.80 \times 10^1)$ ?
A) $4.32 \times 10^2$
B) $4.32 \times 10^1$
C) $4.32 \times 10^3$
D) $4.32 \times 10^0$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.0040
B) 0.040
C) 0.400
D) 4.00
Correct Option: D
Explanation: 4.00 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{9.60 \times 10^3}{2.40 \times 10^2}$ ?
A) $4.00 \times 10^1$
B) $4.00 \times 10^2$
C) $4.00 \times 10^3$
D) $4.00 \times 10^4$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 0.00800600 kg?
A) 3
B) 4
C) 5
D) 6
Correct Option: 6
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 0.00800600 kg has 6 significant figures.
What is the result of the calculation $(4.50 \times 10^2) + (2.70 \times 10^1)$ ?
A) $4.77 \times 10^2$
B) $4.77 \times 10^1$
C) $4.77 \times 10^3$
D) $4.77 \times 10^0$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 6000
B) 6000.0
C) 6.0000
D) 0.00060000
Correct Option: D
Explanation: 0.00060000 has eight significant figures, more than the other options.
What is the result of the calculation $\frac{6.30 \times 10^2}{2.10 \times 10^1}$ ?
A) $3.00 \times 10^1$
B) $3.00 \times 10^2$
C) $3.00 \times 10^0$
D) $3.00 \times 10^3$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 2000 m?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 2000 m has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(3.00 \times 10^2) \times (6.40 \times 10^1)$ ?
A) $1.92 \times 10^3$
B) $1.92 \times 10^4$
C) $1.92 \times 10^2$
D) $1.92 \times 10^5$
Correct Option: A
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 0.002
B) 0.020
C) 0.200
D) 2.00
Correct Option: A
Explanation: 0.002 has one significant figure, fewer than the other options.
What is the result of the expression $\frac{9.00 \times 10^3}{4.50 \times 10^1}$ ?
A) $2.00 \times 10^1$
B) $2.00 \times 10^2$
C) $2.00 \times 10^3$
D) $2.00 \times 10^0$
Correct Option: C
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 800 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 800 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(5.00 \times 10^2) - (1.20 \times 10^1)$ ?
A) $4.88 \times 10^2$
B) $4.88 \times 10^1$
C) $4.88 \times 10^3$
D) $4.88 \times 10^0$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.3000
B) 3.000
C) 30.00
D) 3000
Correct Option: A
Explanation: 0.3000 has two significant figures, fewer than the other options.
What is the result of the calculation $\frac{8.40 \times 10^3}{3.20 \times 10^2}$ ?
A) $2.63 \times 10^1$
B) $2.63 \times 10^2$
C) $2.63 \times 10^3$
D) $2.63 \times 10^0$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 4.00060 m?
A) 2
B) 3
C) 4
D) 6
Correct Option: 6
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 4.00060 m has 6 significant figures.
What is the result of the calculation $(3.40 \times 10^2) + (2.10 \times 10^1)$ ?
A) $3.61 \times 10^2$
B) $3.61 \times 10^1$
C) $3.61 \times 10^3$
D) $3.61 \times 10^0$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 5.00005
B) 5.0005
C) 5.005
D) 5.05
Correct Option: A
Explanation: 5.00005 has six significant figures, more than the other options.
What is the result of the calculation $\frac{4.80 \times 10^3}{2.00 \times 10^2}$ ?
A) $2.40 \times 10^1$
B) $2.40 \times 10^2$
C) $2.40 \times 10^0$
D) $2.40 \times 10^3$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 5000 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 5000 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(3.00 \times 10^2) \times (3.60 \times 10^1)$ ?
A) $1.08 \times 10^3$
B) $1.08 \times 10^4$
C) $1.08 \times 10^2$
D) $1.08 \times 10^5$
Correct Option: C
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 0.0025
B) 0.025
C) 0.25
D) 2.5
Correct Option: D
Explanation: 2.5 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{9.60 \times 10^3}{3.00 \times 10^1}$ ?
A) $3.20 \times 10^2$
B) $3.20 \times 10^1$
C) $3.20 \times 10^3$
D) $3.20 \times 10^0$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 600 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 600 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(4.00 \times 10^2) - (2.10 \times 10^1)$ ?
A) $3.79 \times 10^2$
B) $3.79 \times 10^1$
C) $3.79 \times 10^3$
D) $3.79 \times 10^0$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.000400
B) 0.00400
C) 0.0400
D) 0.4000
Correct Option: D
Explanation: 0.4000 has three significant figures, fewer than the other options.
What is the result of the calculation $\frac{8.40 \times 10^3}{3.20 \times 10^2}$ ?
A) $2.63 \times 10^1$
B) $2.63 \times 10^2$
C) $2.63 \times 10^3$
D) $2.63 \times 10^0$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 4.000060 m?
A) 2
B) 3
C) 4
D) 6
Correct Option: 7
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 4.000060 m has 7 significant figures.
What is the result of the calculation $(3.40 \times 10^2) + (2.10 \times 10^1)$ ?
A) $3.61 \times 10^2$
B) $3.61 \times 10^1$
C) $3.61 \times 10^3$
D) $3.61 \times 10^0$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 0.00305
B) 0.0305
C) 0.305
D) 3.05
Correct Option: A
Explanation: 0.00305 has three significant figures, more than the other options.
What is the result of the calculation $\frac{4.80 \times 10^3}{2.00 \times 10^2}$ ?
A) $2.40 \times 10^1$
B) $2.40 \times 10^2$
C) $2.40 \times 10^0$
D) $2.40 \times 10^3$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 5000 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 5000 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(3.00 \times 10^2) \times (3.60 \times 10^1)$ ?
A) $1.08 \times 10^3$
B) $1.08 \times 10^4$
C) $1.08 \times 10^2$
D) $1.08 \times 10^5$
Correct Option: C
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 0.0025
B) 0.025
C) 0.25
D) 2.5
Correct Option: D
Explanation: 2.5 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{9.60 \times 10^3}{3.00 \times 10^1}$ ?
A) $3.20 \times 10^2$
B) $3.20 \times 10^1$
C) $3.20 \times 10^3$
D) $3.20 \times 10^0$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 600 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 600 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(4.00 \times 10^2) - (2.10 \times 10^1)$ ?
A) $3.79 \times 10^2$
B) $3.79 \times 10^1$
C) $3.79 \times 10^3$
D) $3.79 \times 10^0$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.000400
B) 0.00400
C) 0.0400
D) 0.4000
Correct Option: D
Explanation: 0.4000 has three significant figures, fewer than the other options.
What is the result of the calculation $\frac{8.40 \times 10^3}{3.20 \times 10^2}$ ?
A) $2.63 \times 10^1$
B) $2.63 \times 10^2$
C) $2.63 \times 10^3$
D) $2.63 \times 10^0$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 4.000060 m?
A) 2
B) 3
C) 4
D) 6
Correct Option: 7
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 4.000060 m has 7 significant figures.
What is the result of the calculation $(3.40 \times 10^2) + (2.10 \times 10^1)$ ?
A) $3.61 \times 10^2$
B) $3.61 \times 10^1$
C) $3.61 \times 10^3$
D) $3.61 \times 10^0$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 0.00305
B) 0.0305
C) 0.305
D) 3.05
Correct Option: A
Explanation: 0.00305 has three significant figures, more than the other options.
What is the result of the calculation $\frac{4.80 \times 10^3}{2.00 \times 10^2}$ ?
A) $2.40 \times 10^1$
B) $2.40 \times 10^2$
C) $2.40 \times 10^0$
D) $2.40 \times 10^3$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 5000 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 5000 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(3.00 \times 10^2) \times (3.60 \times 10^1)$ ?
A) $1.08 \times 10^3$
B) $1.08 \times 10^4$
C) $1.08 \times 10^2$
D) $1.08 \times 10^5$
Correct Option: C
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 0.0025
B) 0.025
C) 0.25
D) 2.5
Correct Option: D
Explanation: 2.5 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{9.60 \times 10^3}{3.00 \times 10^1}$ ?
A) $3.20 \times 10^2$
B) $3.20 \times 10^1$
C) $3.20 \times 10^3$
D) $3.20 \times 10^0$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the measurement 600 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 600 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(4.00 \times 10^2) - (2.10 \times 10^1)$ ?
A) $3.79 \times 10^2$
B) $3.79 \times 10^1$
C) $3.79 \times 10^3$
D) $3.79 \times 10^0$
Correct Option: A
Explanation: Subtract the coefficients and keep the same exponent.
Which of the following numbers has the least number of significant figures?
A) 0.000400
B) 0.00400
C) 0.0400
D) 0.4000
Correct Option: D
Explanation: 0.4000 has three significant figures, fewer than the other options.
What is the result of the calculation $\frac{8.40 \times 10^3}{3.20 \times 10^2}$ ?
A) $2.63 \times 10^1$
B) $2.63 \times 10^2$
C) $2.63 \times 10^3$
D) $2.63 \times 10^0$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 4.000060 m?
A) 2
B) 3
C) 4
D) 6
Correct Option: 7
Explanation: All non-zero digits and zeros between significant figures are significant. Therefore, 4.000060 m has 7 significant figures.
What is the result of the calculation $(3.40 \times 10^2) + (2.10 \times 10^1)$ ?
A) $3.61 \times 10^2$
B) $3.61 \times 10^1$
C) $3.61 \times 10^3$
D) $3.61 \times 10^0$
Correct Option: A
Explanation: Add the coefficients and keep the same exponent.
Which of the following numbers has the most significant figures?
A) 0.00305
B) 0.0305
C) 0.305
D) 3.05
Correct Option: A
Explanation: 0.00305 has three significant figures, more than the other options.
What is the result of the calculation $\frac{4.80 \times 10^3}{2.00 \times 10^2}$ ?
A) $2.40 \times 10^1$
B) $2.40 \times 10^2$
C) $2.40 \times 10^0$
D) $2.40 \times 10^3$
Correct Option: B
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.
How many significant figures are there in the number 5000 s?
A) 1
B) 2
C) 3
D) 4
Correct Option: 1
Explanation: The measurement 5000 s has only one significant figure since trailing zeros in whole numbers may or may not be significant depending on whether a decimal point is specified.
What is the result of the calculation $(3.00 \times 10^2) \times (3.60 \times 10^1)$ ?
A) $1.08 \times 10^3$
B) $1.08 \times 10^4$
C) $1.08 \times 10^2$
D) $1.08 \times 10^5$
Correct Option: C
Explanation: Multiply the coefficients and add the exponents.
Which of the following numbers has the least number of significant figures?
A) 0.0025
B) 0.025
C) 0.25
D) 2.5
Correct Option: D
Explanation: 2.5 has two significant figures, fewer than the other options.
What is the result of the expression $\frac{9.60 \times 10^3}{3.00 \times 10^1}$ ?
A) $3.20 \times 10^2$
B) $3.20 \times 10^1$
C) $3.20 \times 10^3$
D) $3.20 \times 10^0$
Correct Option: A
Explanation: Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.