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(5) Write the decimal \( 1,072.039 \) in expanded form.

Ask by Hodgson Guerrero. in the United States
Mar 12,2025

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\( 1,072.039 = 1 \times 10^3 + 7 \times 10^1 + 2 \times 10^0 + 3 \times 10^{-2} + 9 \times 10^{-3} \)

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Mind Expander

In expanded form, the decimal \( 1,072.039 \) can be broken down into its individual place values: \[ 1,000 + 70 + 2 + 0.0 + 0.03 + 0.009 \] So, basically, you're taking each digit and multiplying it by its respective place value, which helps to visualize the composition of the number! Another fun way to think about it is to notice how each section of the number contributes to the whole. The whole number part, \( 1,072 \), emphasizes that you have over a thousand in there, while the decimal part, \( 0.039 \), adds those tiny fractions of a whole that finish the number. It’s like putting together a puzzle where each piece clearly shows where it fits!

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