Question

Math

Posted 5 months ago

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

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Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

Recognize that $9.7 \times 0.08$ is the same as $97 \times 0.8$ divided by 100

step 2

Calculate $97 \times 0.8$ using the fact that $97 \times 8 = 776$

step 3

Divide the product from step 2 by 100 to get the decimal form

step 4

$97 \times 0.8 = 776 \times 0.1 = 77.6$

step 5

$77.6 \div 100 = 0.776$

Answer

$9.7 \times 0.08 = 0.776$

Key Concept

Multiplying by Powers of 10

Explanation

To multiply a number by a power of 10, move the decimal point to the right for each zero in the power of 10. To divide, move the decimal point to the left. Here, we used the fact that $97 \times 8$ is 776 and adjusted for the decimal places.

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