Understand the problem: Understand the problem. We need to multiply 0.0005321 by 10 raised to the power of 7. Multiplying by 10 raised to a power effectively shifts the decimal point to the right by the number of the exponent.Multiply by 10^7: Multiply the number by 10 raised to the power of 7. To multiply 0.0005321 by 10^7, we move the decimal point 7 places to the right.Perform decimal shift: Perform the decimal shift. Moving the decimal point 7 places to the right in 0.0005321 gives us 5321. (Note that we add zeros if necessary to fill in the gaps.)Write final answer: Write down the final answer. After shifting the decimal point, we get the final answer of 5321.

Grade 6

Multiply and divide decimals by powers of ten

Full solution

0.0005321 \times 10^{7}

Understand the problem: Understand the problem. $\newline$ We need to multiply $0.0005321$ by $10$ raised to the power of $7$ . Multiplying by $10$ raised to a power effectively shifts the decimal point to the right by the number of the exponent.
Multiply by $10^7$ : Multiply the number by $10$ raised to the power of $7$ . $\newline$ To multiply $0.0005321$ by $10^7$ , we move the decimal point $7$ places to the right.
Perform decimal shift: Perform the decimal shift. Moving the decimal point $7$ places to the right in $0.0005321$ gives us $5321$ . (Note that we add zeros if necessary to fill in the gaps.)
Write final answer: Write down the final answer. $\newline$ After shifting the decimal point, we get the final answer of $5321$ .