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# Comparing decimals 3

Sal compares decimals like 45.675 and 45.645 with greater and less than symbols. Created by Sal Khan and Monterey Institute for Technology and Education.

Video transcript

Use less than or greater than
for this little brackets thing to write a true sentence. So they essentially want us to
say whether 45.675 is greater than or less than 45.645. So let's look at each
of these numbers. I'm just going to write them
on top of each other. So the first a number is
forty-five and six hundred and seventy-five thousandths and
the second number is forty-five and six hundred and
forty-five thousandths. Now when you look at everything
here, the only place where these two numbers
are different is in the hundredths place. We have 7 hundredths here and
we have 4 hundredths here. Everything is the same,
so this number is going to be greater. This number is a greater than
45.645, or six-hundred and forty-five thousandths. Let me write that down
just to make sure we know what we're doing. Forty-five and six hundred and
seventy-five thousandths, or 45.675, is definitely greater
than 45.645, or forty-five and six hundred and forty-five
thousandths.