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BIG IDEAS MATH \#20 i Write the number in standard form. \( 4.4 \times 10^{-5}=\square \)

Ask by Peters Boyd. in the United States
Mar 15,2025

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\( 4.4 \times 10^{-5} = 0.000044 \)

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The Deep Dive

To write \( 4.4 \times 10^{-5} \) in standard form, you essentially move the decimal point in 4.4 five places to the left because of the negative exponent. This means you'd start at 4.4, shift the decimal to end up with 0.000044. So, \( 4.4 \times 10^{-5} = 0.000044 \). Now you have a mini magic trick: decimal points can travel far and wide! Just remember that a negative exponent indicates you’re moving left on the number line, making large numbers become tiny and creating that special place for all your mathematical wonders!

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