Question

When multiplying a decimal by a power of 10, the product ____________________

Answer 1

When multiplying a decimal by a power of 10, the product shifts the decimal point to the right for positive powers of 10 and shifts it to the left for negative powers of 10. For example:

- Multiplying by 10 (10^1) moves the decimal point one place to the right.
- Multiplying by 100 (10^2) moves the decimal point two places to the right.
- Multiplying by 0.1 (10^-1) moves the decimal point one place to the left.
- Multiplying by 0.01 (10^-2) moves the decimal point two places to the left.

In summary, the product results in a change in the decimal point's position based on the exponent of 10.