Questions on Scientific Notation
Multiple-Choice Questions – Scientific Notation
1. What is the scientific notation for 45,000?
A) 4.5 × 10⁴
B) 45 × 10³
C) 0.45 × 10⁵
D) 4.5 × 10³
E) 450 × 10²
2. Express 0.00032 in scientific notation.
A) 3.2 × 10⁻³
B) 32 × 10⁻⁵
C) 3.2 × 10⁻⁴
D) 0.32 × 10⁻³
E) 320 × 10⁻⁶
3. What is the correct scientific notation for 7,200,000?
A) 7.2 × 10⁶
B) 72 × 10⁵
C) 720 × 10⁴
D) 7.2 × 10⁵
E) 0.72 × 10⁷
4. Convert 1.8 × 10⁵ to standard notation.
A) 18,000
B) 180,000
C) 1,800,000
D) 1,800
E) 180
5. Which of the following is equal to 5.6 × 10⁻³?
A) 5600
B) 0.0056
C) 0.056
D) 56
E) 5.6
6. Convert 0.00000081 to scientific notation.
A) 8.1 × 10⁻⁷
B) 0.81 × 10⁻⁶
C) 8.1 × 10⁻⁶
D) 81 × 10⁻⁹
E) 8.1 × 10⁻⁸
7. Which of the following is not a correct scientific notation form?
A) 4.8 × 10⁶
B) 0.48 × 10⁷
C) 6.0 × 10⁻²
D) 3.21 × 10²
E) 1.0 × 10⁰
8. Convert 9.3 × 10⁻⁴ to decimal form.
A) 0.00093
B) 0.093
C) 0.0093
D) 0.93
E) 9.3
9. The number 0.0000000042 in scientific notation is:
A) 4.2 × 10⁻⁹
B) 4.2 × 10⁻⁸
C) 4.2 × 10⁻⁷
D) 4.2 × 10⁻⁶
E) 42 × 10⁻⁹
10. What is the value of 3.5 × 10²?
A) 3500
B) 35
C) 0.35
D) 350
E) 3.5
11. Which of the following equals 6.02 × 10²³?
A) The atomic number of carbon
B) Avogadro’s number
C) The speed of light
D) Planck’s constant
E) None of the above
12. Convert 3.0 × 10⁻² to standard form.
A) 30
B) 0.3
C) 0.03
D) 0.003
E) 3.0
13. What is the scientific notation for 0.0074?
A) 7.4 × 10⁻²
B) 7.4 × 10⁻³
C) 0.74 × 10⁻²
D) 0.74 × 10⁻¹
E) 74 × 10⁻⁵
14. Which number is equivalent to 1.00 × 10⁰?
A) 0
B) 1
C) 10
D) 100
E) 0.1
15. What is the scientific notation for 92,300?
A) 9.23 × 10³
B) 92.3 × 10²
C) 0.923 × 10⁵
D) 9.23 × 10⁴
E) 923 × 10²
16. Convert 2.5 × 10⁻⁶ to decimal form.
A) 0.0000025
B) 0.000025
C) 0.00000025
D) 0.0025
E) 0.025
17. Which of the following is the correct scientific notation format?
A) A number less than 1 multiplied by a power of ten
B) A number greater than or equal to 10 multiplied by a power of ten
C) A number between 1 and 10 multiplied by a power of ten
D) Any decimal times a power of ten
E) Any number times a power of ten
18. Which of the following represents the largest number?
A) 1.2 × 10⁻²
B) 3.4 × 10⁻³
C) 5.6 × 10⁻¹
D) 7.8 × 10⁻⁵
E) 6.7 × 10⁻⁴
19. What is the exponent in 6.1 × 10⁸?
A) 10
B) 6.1
C) 8
D) 0.8
E) 80
20. What happens to the decimal point when converting large numbers into scientific notation?
A) It moves to the left
B) It moves to the right
C) It doesn’t move
D) It becomes a comma
E) It becomes a zero
Answer Key with Explanations
1. A) 4.5 × 10⁴ – Move decimal 4 places left.
2. C) 3.2 × 10⁻⁴ – Move decimal 4 places right to get 3.2.
3. A) 7.2 × 10⁶ – Move decimal 6 places left.
4. B) 180,000 – Multiply 1.8 × 10⁵.
5. B) 0.0056 – 5.6 × 10⁻³ = 0.0056.
6. E) 8.1 × 10⁻⁷ – Decimal moves 7 places right.
7. B) 0.48 × 10⁷ – Mantissa must be between 1 and 10.
8. C) 0.0093 – 9.3 × 10⁻⁴ = 0.00093.
9. A) 4.2 × 10⁻⁹ – Move decimal 9 places to get 4.2.
10. D) 350 – 3.5 × 10² = 350.
11. B) Avogadro’s number – Approx. 6.02 × 10²³.
12. C) 0.03 – 3.0 × 10⁻² = 0.03.
13. B) 7.4 × 10⁻³ – Move decimal 3 places right.
14. B) 1 – 10⁰ = 1.
15. D) 9.23 × 10⁴ – Move decimal 4 places left.
16. A) 0.0000025 – Move decimal 6 places right.
17. C) A number between 1 and 10 multiplied by a power of ten – Required format.
18. C) 5.6 × 10⁻¹ – Closest to 1.
19. C) 8 – The exponent of 10 is 8.
20. A) It moves to the left – For large numbers, decimal shifts left.
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