Questions: Question 12 of 22 Translate each number into standard notation, maintaining the same number of significant figures. 4.52 × 10^3= 8.11 × 10^-2=

Question 12 of 22
Translate each number into standard notation, maintaining the same number of significant figures.

4.52 × 10^3=

8.11 × 10^-2=
Transcript text: Question 12 of 22 ${ }_{50}$ Translate each number into standard notation, maintaining the same number of significant figures. \[ 4.52 \times 10^{3}= \] $\square$ $8.11 \times 10^{-2}=$ $\square$
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Solution

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Translate \(4.52 \times 10^{3}\) into standard notation, maintaining the same number of significant figures.

Step subtitle: Move the decimal point

The exponent \(10^{3}\) indicates that the decimal point in \(4.52\) should be moved 3 places to the right.

Step subtitle: Write the number in standard notation

Moving the decimal point 3 places to the right gives \(4520\).

\(\boxed{4520}\)

Translate \(8.11 \times 10^{-2}\) into standard notation, maintaining the same number of significant figures.

Step subtitle: Move the decimal point

The exponent \(10^{-2}\) indicates that the decimal point in \(8.11\) should be moved 2 places to the left.

Step subtitle: Write the number in standard notation

Moving the decimal point 2 places to the left gives \(0.0811\).

\(\boxed{0.0811}\)

\(\boxed{4520}\)
\(\boxed{0.0811}\)

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