Video: Understanding Place Value When Decomposing a Decimal to Its Expanded Form

1.892 = _ tenths + _ hundredths + _ thousandths + _ units.

01:52

Video Transcript

One and eight hundred ninety-two thousandths equals blank tenths plus blank hundredths plus blank thousandths plus blank units.

It’s our job to fill in the blanks here. The first thing we can do is look at a place value chart like the one I’ve drawn here which shows us the ones, tenths, hundredths, and thousandths place value positions. Then we can copy down the number we’re looking at, 1.892 into our place value chart. From here I recognize, in the ones place, there is a one. But if you look closely at the question, it doesn’t have a ones place; it has a units. Another way to write the ones place is to call it the units. So we would say we have one unit. One place to the right of the decimal is the tenths place. We have eight tenths. And we can fill that into our question, eight tenths. In the hundredths place of our question is a nine; we have nine hundredths. And in the thousandths place of our question is a two, which means we have two thousandths.

One and eight hundred ninety-two thousandths equals eight tenths plus nine hundredths plus two thousandths plus one units.

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