Remove decimal from expression: Rewrite the expression without decimal. 7.1 × 801 can be written as 71 × 8010 by multiplying both numbers by 10 to remove the decimal from 7.1.Multiply whole numbers: Multiply the whole numbers. 71 × 8010 = 568710Count decimal places: Count the decimal places in the original expression. 7.1 has one decimal place. 801 has no decimal places. Therefore, the product should have 1 decimal place.Move decimal in product: Move the decimal in the product of whole numbers to find the answer. Move the decimal 1 place to the left in 568710 to account for the one decimal place in 7.1. 7.1 × 801 = 56871.0

Grade 6

Multiply and divide decimals by powers of ten

Full solution

7

1

\times

801

Remove decimal from expression: Rewrite the expression without decimal. $\newline$ $7.1 \times 801$ can be written as $71 \times \frac{801}{10}$ by multiplying both numbers by $10$ to remove the decimal from $7.1$ .
Multiply whole numbers: Multiply the whole numbers. $71 \times 8010 = 568710$
Count decimal places: Count the decimal places in the original expression. $\newline$ $7.1$ has one decimal place. $\newline$ $801$ has no decimal places. $\newline$ Therefore, the product should have $1$ decimal place.
Move decimal in product: Move the decimal in the product of whole numbers to find the answer. $\newline$ Move the decimal $1$ place to the left in $568710$ to account for the one decimal place in $7.1$ . $\newline$ $7.1 \times 801 = 56871.0$