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The order of magnitude of 0.00701 is...

The order of magnitude of `0.00701` is

A

`-2`

B

`-1`

C

`2`

D

`1`

Text Solution

AI Generated Solution

The correct Answer is:
To find the order of magnitude of the number \(0.00701\), we can follow these steps: ### Step 1: Convert the number to scientific notation To express \(0.00701\) in scientific notation, we need to move the decimal point to the right until we have a number between \(1\) and \(10\). - Moving the decimal point two places to the right gives us: \[ 0.00701 = 7.01 \times 10^{-3} \] ### Step 2: Identify the exponent In scientific notation, the exponent indicates the order of magnitude. Here, the exponent is \(-3\). ### Step 3: Determine the order of magnitude The order of magnitude is defined as the power of ten when the number is expressed in scientific notation. Since we have: \[ 0.00701 = 7.01 \times 10^{-3} \] The order of magnitude of \(0.00701\) is \(-3\). ### Final Answer Thus, the order of magnitude of \(0.00701\) is \(-3\). ---

To find the order of magnitude of the number \(0.00701\), we can follow these steps: ### Step 1: Convert the number to scientific notation To express \(0.00701\) in scientific notation, we need to move the decimal point to the right until we have a number between \(1\) and \(10\). - Moving the decimal point two places to the right gives us: \[ 0.00701 = 7.01 \times 10^{-3} ...
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