What is 4.62 times 10 to the negative third power?

Answer 1

4.62 x 10-3 is scientific form for 0.00462 since:

10-3 = 1 ÷ 103

= 1 ÷ (10 x 10 x 10)

= 1/1000

⇒ 4.62 x 10-3 = 4.62 x 1/1000

= 4.62 ÷ 1000

= 0.00462

To convert scientific form (mantissa x 10exponent) to normal form, move the decimal point exponent digits right if positive, left if negative, inserting zeros if run out of digits.

In 4.62 x 10-3 exponent is -3, so move decimal point of 4.62 three digits to the left (inserting 2 digits) to get 0.00462