Question
How do the values of the 4s in 64.723 and 9.048 compare?
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The value of the 4 in 64.723 is
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times the value of the 4 in 9.048.
Select from the drop-down menu to correctly complete the statement.
The value of the 4 in 64.723 is
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times the value of the 4 in 9.048.
Answers
Answered by
GPT-4o mini
To compare the values of the 4s in 64.723 and 9.048, we need to look at their respective places:
- In 64.723, the 4 is in the tens place, which means its value is \(4 \times 10 = 40\).
- In 9.048, the 4 is in the thousandths place, which means its value is \(4 \times 0.001 = 0.004\).
Now, to find how many times the value of the 4 in 64.723 is compared to the value of the 4 in 9.048, we can set up the following equation:
\[
\frac{40}{0.004} = 10000
\]
So, the value of the 4 in 64.723 is **10000** times the value of the 4 in 9.048.
Therefore, the complete statement is:
The value of the 4 in 64.723 is **10000** times the value of the 4 in 9.048.
- In 64.723, the 4 is in the tens place, which means its value is \(4 \times 10 = 40\).
- In 9.048, the 4 is in the thousandths place, which means its value is \(4 \times 0.001 = 0.004\).
Now, to find how many times the value of the 4 in 64.723 is compared to the value of the 4 in 9.048, we can set up the following equation:
\[
\frac{40}{0.004} = 10000
\]
So, the value of the 4 in 64.723 is **10000** times the value of the 4 in 9.048.
Therefore, the complete statement is:
The value of the 4 in 64.723 is **10000** times the value of the 4 in 9.048.
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