Comparing decimals 3

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Maths4th grade (Eureka Math/EngageNY)1:292 check-ins

About this video

Sal compares 45.675 and 45.645 by writing them one above the other. The only place where they differ is the hundredths place, where 7 hundredths is more than 4 hundredths, so 45.675 > 45.645.

You'll be able to

  • line up decimals by place value to compare them.
  • find the first place where two decimals differ.
  • use > or < to compare two decimals.

Key words

hundredths place
The second digit to the right of the decimal point.
thousandths
The third digit to the right of the decimal point; 45.675 is forty-five and six hundred seventy-five thousandths.
greater than (>)
A sign showing the number on the left is larger.
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.

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