Scientific Notation Quiz
Grade 8 · Math · Quiz
Practice converting, comparing, and computing with scientific notation.
Questions
Express 4,700,000 in scientific notation.
- 47 × 10⁵
- 4.7 × 10⁶
- 0.47 × 10⁷
- 4.7 × 10⁷
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Answer: 4.7 × 10⁶
Move decimal 6 places left from 4,700,000 to get 4.7; exponent is +6.
5.0 × 10⁻³ is equal to 0.005.
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Answer: True
5.0 × 10⁻³ = 5.0 ÷ 1000 = 0.005.
When dividing numbers in scientific notation, you ___ the exponents.
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Answer: subtract
Quotient of powers rule: 10ᵐ ÷ 10ⁿ = 10^(m−n).
What is (6 × 10⁵) ÷ (2 × 10²)?
- 3 × 10³
- 3 × 10⁷
- 4 × 10³
- 12 × 10³
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Answer: 3 × 10³
6÷2=3; 10⁵÷10²=10³. Result: 3 × 10³.
Which of these is NOT in proper scientific notation?
- 3.2 × 10⁴
- 1.0 × 10⁻²
- 12.5 × 10³
- 9.9 × 10⁸
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Answer: 12.5 × 10³
The coefficient 12.5 is not between 1 and 10. Correct form: 1.25 × 10⁴.
The number 2.5 × 10⁴ is greater than 9.9 × 10³.
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Answer: True
2.5 × 10⁴ = 25,000 and 9.9 × 10³ = 9,900. 25,000 > 9,900.
0.00000306 in scientific notation is 3.06 × 10___.
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Answer: -6
Moving decimal 6 places right to get 3.06 means the exponent is -6.
What is (4 × 10³) + (3 × 10³)?
- 7 × 10⁶
- 7 × 10³
- 1.2 × 10⁴
- 7 × 10⁹
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Answer: 7 × 10³
Same exponent so add coefficients: 4+3=7, keep 10³. Result: 7 × 10³.
A red blood cell is 8 × 10⁻⁶ meters wide. Written in standard form, this is:
- 0.000008 m
- 0.00008 m
- 0.0000008 m
- 8,000,000 m
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Answer: 0.000008 m
8 × 10⁻⁶ = move decimal 6 left from 8: 0.000008.
When multiplying (2 × 10⁴)(5 × 10³), the result needs to be adjusted because the coefficient is 10.
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Answer: True
2×5=10 and 10⁴×10³=10⁷ gives 10 × 10⁷ = 1.0 × 10⁸; the coefficient must be adjusted to stay between 1 and 10.
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