Question

SCIENTIFIC NOTATION Rewrite in scientific notation. $$ 0.0422 $$

Short answer

The number 0.0422 in scientific notation is \(4.22 \times 10^{-2}\)

Step-by-step solution

Identify Decimal Point Position

Beginning from the decimal point, count the number of places you must move to the right until you reach the first non-zero digit, which is 4. Thus, counted two places.

Write the Number as a Product of Power of Ten

After identifying the first non-zero digit, rewrite the number with this digit as the leading number before the decimal point followed by the remaining numbers, and multiply by 10 raised to the negative of the number of places counted. This gives you \(4.22 \times 10^{-2}\).

Verification

To confirm if you have written it correctly in scientific notation, multiply the expression by hand or using a calculator. The product should yield the original number, that is, 0.0422