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how do i solve 46.2x10to the power of -2

how do i solve 46.2x10-2

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Jennifer B. | Highly Qualified Teacher & Tutor (PK - Adult)Highly Qualified Teacher & Tutor (PK - A...
4.8 4.8 (70 lesson ratings) (70)

Hi, Vanessa! All you'll need to do to find your answer is move the decimal point two places to the left because the exponent is 2 and it is negative. If you move the decimal point two places to the left, you arrive at the answer: .462. If the exponent was a positive 2, you would have moved the decimal point two places to the right to arrive at the correct answer.

Denise W. | Elementary / Middle / High School Math TutorElementary / Middle / High School Math T...

Hi Vanessa,

46.2 x 10-2 = 46.2 ÷ 100 = 0.462

This is because negative exponents show that that term in the expression is really under the division bar.

So, 10-2 really means 1 / 102  or 1/100 or ÷ 100

When we divide by 100, the decimal point moves two places to the left in the number.