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Question
Math
Posted 5 months ago
The product 97×897 \times 8 equals 776 .
Use the previous fact to evaluate as a decimal.
9.7×0.08=
9.7 \times 0.08=

\square
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Answer from Sia
Posted 5 months ago
Solution by Steps
step 1
Recognize that 9.7×0.089.7 \times 0.08 is the same as 97×0.897 \times 0.8 divided by 100
step 2
Calculate 97×0.897 \times 0.8 using the fact that 97×8=77697 \times 8 = 776
step 3
Divide the product from step 2 by 100 to get the decimal form
step 4
97×0.8=776×0.1=77.697 \times 0.8 = 776 \times 0.1 = 77.6
step 5
77.6÷100=0.77677.6 \div 100 = 0.776
Answer
9.7×0.08=0.7769.7 \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 97×897 \times 8 is 776 and adjusted for the decimal places.

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