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What is in standard form?
The power of tells us how to move our decimal. Because we have a positive
power, we move our decimal over
places to the right.
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What digit is in the hundredths place?
When we have numbers that include decimals, the tenths place is always the first number to the right of the decimal, the hundredths place is to the right of the tenths place, and the thousandths place is to the right of the hundredths place. See the diagram below:
For the number in the problem:
The is in the hundredths position.
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What is in expanded form?
When we write a number in expanded form, we multiply each digit by its place value.
is in the ones place, so we multiply by
.
is in the tenths place, so we multiply by
.
is in the hundredths place, so we multiply by
.
Then we add the products together to check our answer:
Thus, the correct answer is:
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