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The product
97 ×8 equals 776 .
Use the previous fact to evaluate as a decimal.

9.7 ×0.08=

The product $97 \times 8$ equals $776$ . Use the previous fact to evaluate as a decimal. $\newline$ $9.7 \times 0.08=$

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Negative Exponents

Full solution

Q. The product

97 \times 8

equals

776

. Use the previous fact to evaluate as a decimal.

\newline

9.7 \times 0.08=

Identify relationship between problem and fact: Identify the relationship between the given problem and the previous fact. $\newline$ The previous fact is that $97 \times 8$ equals $776$ . We can use this to help us calculate $9.7 \times 0.08$ by recognizing that $9.7$ is $1/10$ th of $97$ , and $0.08$ is $1/100$ th of $8$ .
Divide product of previous fact: Divide the product of the previous fact to find the new product. $\newline$ Since $9.7$ is $\frac{1}{10}$ th of $97$ and $0.08$ is $\frac{1}{100}$ th of $8$ , we can divide the product of the previous fact ( $776$ ) by $10$ and then by $100$ to find the product of $9.7 \times 0.08$ .
Calculate new product: Calculate the new product. $\newline$ First, divide $776$ by $10$ to account for $9.7$ being $1/10$ th of $97$ . $\newline$ $776 \div 10 = 77.6$ $\newline$ Then, divide the result by $100$ to account for $0.08$ being $1/100$ th of $8$ . $\newline$ $10$ $0$
Write final answer: Write the final answer. $\newline$ The product of $9.7 \times 0.08$ is $0.776$ .

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