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Math

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PROBLEM

Write 863.141 as the sum of its place values.

STEP 1

Assumptions1. The number given is863.141. Expanded form means to write out the number by each place value

STEP 2

We can expand the number863.141 by multiplying each digit by its place value.

STEP 3

Starting from the left, the first digit is8. Since it's in the hundreds place, we multiply it by100.
8times1008 \\times100

STEP 4

The next digit is6, which is in the tens place. So, we multiply it by10.
6times106 \\times10

STEP 5

The next digit is3, which is in the ones place. So, we multiply it by1.
3times13 \\times1

STEP 6

After the decimal point, the first digit is1, which is in the tenths place. So, we multiply it by0.1.
1times0.11 \\times0.1

STEP 7

The next digit is4, which is in the hundredths place. So, we multiply it by0.01.
4times0.014 \\times0.01

STEP 8

The last digit is1, which is in the thousandths place. So, we multiply it by0.001.
1times0.0011 \\times0.001

SOLUTION

Now, we add all these values together to get the expanded form of863.141.
800+60+3+.+.04+.001800 +60 +3 +. +.04 +.001So, the expanded form of863.141 is 800+60+3+.+.04+.001800 +60 +3 +. +.04 +.001.

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