What is 12.375 in expanded form?

In the decimal number system, 12.375 = 1 10^1 + 2 10^0 + 3 10^(-1) + 7 10^(-2) + 5*10^(-3). This is equal to 10 + 2 + 0.3 +0.07 + 0.005. The powers of 10 shift left in order to count in ones, tens, hundreds, and so on. The powers of 10 shift right to count in 1/10, 1/100, 1/1000, and so on.

Answered by W0lf93 | 2024-06-11

The number 12.375 in the expanded form is 10 + 2 + 0.3 + 0.07 + 0.005, breaking it down by each digit's place value.
To find the expanded form of the number 12.375, we break it down into its individual place values.
Here is how it is done:

12.375 can be expressed as :

12 + 0.3 + 0.07 + 0.005.

This breaks down to:

12 + 3/10 + 7/100 + 5/1000.

Therefore, in expanded form, the number 12.375 is:

10 + 2 + 0.3 + 0.07 + 0.005.

Answered by JoanBlondell | 2024-06-24

The expanded form of 12.375 is expressed as (1 × 10^1) + (2 × 10^0) + (3 × 10^{-1}) + (7 × 10^{-2}) + (5 × 10^{-3}). This breakdown shows how each digit contributes to the total value of the decimal number. When summed, it returns the original value of 12.375.
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Answered by W0lf93 | 2024-12-26