QuestionWrite 863.141 as the sum of its place values.

Studdy Solution

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.
$8 \\times100$

STEP 4

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

STEP 5

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

STEP 6

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

STEP 7

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

STEP 8

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

STEP 9

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

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QuestionWrite 863.141 as the sum of its place values.

Studdy Solution

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.
$8 \\times100$

STEP 4

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

STEP 5

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

STEP 6

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

STEP 7

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

STEP 8

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

STEP 9

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

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QuestionWrite 863.141 as the sum of its place values.

Studdy Solution

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 \\times1008times100

STEP 4

The next digit is6, which is in the tens place. So, we multiply it by10.6times106 \\times106times10

STEP 5

The next digit is3, which is in the ones place. So, we multiply it by1.3times13 \\times13times1

STEP 6

After the decimal point, the first digit is1, which is in the tenths place. So, we multiply it by0.1.1times0.11 \\times0.11times0.1

STEP 7

The next digit is4, which is in the hundredths place. So, we multiply it by0.01.4times0.014 \\times0.014times0.01

STEP 8

The last digit is1, which is in the thousandths place. So, we multiply it by0.001.1times0.0011 \\times0.0011times0.001

STEP 9

Now, we add all these values together to get the expanded form of863.141.800+60+3+.+.04+.001800 +60 +3 +. +.04 +.001800+60+3+.+.04+.001So, the expanded form of863.141 is 800+60+3+.+.04+.001800 +60 +3 +. +.04 +.001800+60+3+.+.04+.001.

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

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

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

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

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

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

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