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In Mathematics / Middle School | 2014-09-09

Rewrite 8.7204 in expanded form.

Asked by molinasteven23

Answer (3)

Writing a number in expanded form means breaking down the number by its place values. For the number 8.7204, each digit represents a specific place value, which we can express as:
8.0000 + 0.7000 + 0.0200 + 0.0004
However, sometimes, we write the decimal portion in a simplified form as fractions or using negative powers of ten. The expanded form with powers of ten for the decimal places can be:
8 x 100 + 7 x 10⁻¹ + 2 x 10⁻² + 4 x 10⁻⁴

Answered by JoanBlondell | 2024-06-24

8 + 0.7 + 0.02 + 0.0004 is 8.7204 in expanded form

Answered by asdfasdf | 2024-06-24

The expanded form of 8.7204 is 8.0000 + 0.7000 + 0.0200 + 0.0004. Additionally, it can be expressed using powers of ten as 8 × 10⁰ + 7 × 10⁻¹ + 2 × 10⁻² + 4 × 10⁻⁴. Both methods demonstrate the value of each digit based on its position in the number.
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Answered by JoanBlondell | 2024-09-04