MCAT Math: Scientific Notation
Practice multiplying and dividing numbers in scientific notation — including problems that mix regular decimals and zeros with scientific notation, and expressions with three or more numbers.
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Question 1 of 10
1. Question
Category: Scientific NotationWhat is (3 × 10^3) × (2 × 10^4)?
CorrectIncorrectHint
Multiply the coefficients separately, then add the exponents.
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Question 2 of 10
2. Question
Category: Scientific NotationWhat is (8 × 10^6) ÷ (4 × 10^2)?
CorrectIncorrectHint
Divide the coefficients separately, then subtract the exponents.
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Question 3 of 10
3. Question
Category: Scientific NotationWhat is 0.005 × (6 × 10^4)?
CorrectIncorrectHint
First convert 0.005 into scientific notation, then multiply as usual.
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Question 4 of 10
4. Question
Category: Scientific NotationWhat is (9 × 10^5) ÷ (3 × 10^-2)?
CorrectIncorrectHint
Divide the coefficients, then subtract the exponents. Watch out: subtracting a negative exponent.
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Question 5 of 10
5. Question
Category: Scientific NotationWhat is (2 × 10^3) × (3 × 10^2) × (5 × 10^1)?
CorrectIncorrectHint
Multiply all three coefficients together, then add all three exponents.
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Question 6 of 10
6. Question
Category: Scientific NotationWhat is (4.8 × 10^6) ÷ (1.2 × 10^3)?
CorrectIncorrectHint
Divide the coefficients and subtract the exponents.
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Question 7 of 10
7. Question
Category: Scientific NotationWhat is (2 × 10^-3) × (4 × 10^-2)?
CorrectIncorrectHint
Multiply the coefficients and add the exponents. Adding two negative exponents gives a more negative result.
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Question 8 of 10
8. Question
Category: Scientific NotationWhat is (6.0 × 10^5) ÷ (3.0 × 10^8)?
CorrectIncorrectHint
Divide the coefficients and subtract the exponents. The result will have a negative exponent.
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Question 9 of 10
9. Question
Category: Scientific NotationWhat is 400 × (5 × 10^3)?
CorrectIncorrectHint
Convert 400 into scientific notation first, then multiply as usual.
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Question 10 of 10
10. Question
Category: Scientific NotationWhat is (4 × 10^5) × (2 × 10^-3) ÷ (8 × 10^4)?
CorrectIncorrectHint
Work left to right: multiply the first two numbers, then divide by the third.