Comparing Decimals: Tenths and Hundredths

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Comparing Decimals: Tenths and Hundredths
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Basics on the topic Comparing Decimals: Tenths and Hundredths

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In This Comparing Decimals Video

Axel and Tank are sorting boxes at their new job. In order to sort them, they have to practice comparing decimal tenth and hundredth based on the number on the box’s label and put them in a greater than, less than, or equal to bin. Let’s help Axel and Tank get their work done by comparing decimal tenth and hundredth!

Comparing Decimal Tenth and Hundredth

When comparing decimals tenths and hundredths, use the greater than, less than, or equal to symbols.

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In this comparing decimals video, we practice comparing decimals with models in addition to looking at place value, because base ten blocks help us visualize numbers. Let’s take a look at a comparing decimals example.

Comparing Decimals Example

The first labels they have to compare are twenty-five hundredths and eight tenths. Below, we have twenty-five out of one hundred squares shaded in, and eight out of ten strips shaded in.

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When comparing decimals you need to start with the greatest place value, the ones place. Since the zeros are equal, we move to the next place value, the tenths place. Twenty-five hundredths has a two in the tenths place, and eight tenths has an eight in the tenths place.

base-ten-block-twenty-five-hundredths-shaded-base-ten-block-eight-tenths-shaded-two-in-tenths-place-highlighted-eight-in-tenths-place-highlighted-comparing-decimal-tenth-and-hundredth.svg

Since we found a digit greater or less than, we can stop comparing! Twenty-five hundredths is less than eight tenths.

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Comparing Decimal Tenth and Hundredth Summary

Remember, when comparing decimals:

  • Start with the greatest place value, and compare
  • If the digits are equal, move on to the next place value
  • Repeat the process until you find a digit that is greater than or less than and compare using the greater than or less than symbol
  • Or, if the digits are the same and the value shaded in is equal, that means the decimal numbers are equal
  • Don't forget to compare using the equal to symbol.

Have you practiced yet? On this website you can find a comparing decimals worksheet along with other activities, and exercises.

Transcript Comparing Decimals: Tenths and Hundredths

"Whew! Our first day on the job is going swimmingly!" "Turtally! Except (...) our day just got started." "Erm, right. Look! We have to compare the numbers on the labels to sort the packages into bins." "The equal packages go in this bin... the smaller value packages go in THIS bin... and the larger value packages go in THIS bin!" Let's help Axel and Tank by... Comparing Decimals: Tenths and Hundredths A decimal number represents an equal part of a whole, just like a fraction. To compare decimals, use the greater than (...) less than (...) or equal to symbols. The first labels they have to compare are twenty-five hundredths and eight tenths. Base ten blocks help us visualize numbers, so let's use them to compare the decimals. HERE, we have twenty-five out of one hundred squares shaded in... and HERE, we have eight out of ten strips shaded in. Now, compare starting with the GREATEST place value, the ONES place. Since the zeros are EQUAL, we move to the next place value, the TENTHS place. Twenty-five hundredths has a two in the tenths place... and eight tenths has an eight in the tenths place. Since we found a digit greater or less than, we can stop comparing! Twenty-five hundredths is LESS THAN eight tenths. Next, Axel and Tank need to compare six tenths and sixty hundredths. Let's represent them using base ten blocks. HERE, we have six out of ten STRIPS shaded in... and HERE, we have sixty out of one hundred SQUARES shaded in. Now, start by comparing the GREATEST place value, the ONES place. Since the zeros are EQUAL, move to the next place value, the TENTHS place. Both numbers are equal, so we move to the HUNDREDTHS place. Six tenths doesn't have a number in the hundredths place, so write a zero as a placeholder. What do you notice about the HUNDREDTHS place? (...) There are two zeros, making these decimals EQUAL (...) because ALL the place value digits are the SAME. How is that possible? (...) Even though the wholes are broken into different parts, both values are equal! Last, Axel and Tank need to compare one and twenty-nine hundredths and one and two tenths. Let's represent them using base ten blocks. HERE, we have one whole and twenty-nine out of one hundred squares shaded in... and HERE, we have one whole and two out of ten strips shaded in. What is the first step? (...) Start by comparing the GREATEST place value, the ONES place. Since the ones are EQUAL, we move to the TENTHS place. What do you notice about the TENTHS place? (...) Both numbers are equal, so we move to the HUNDREDTHS place. One and two tenths doesn't have a number in the hundredths place, so write a zero as a placeholder. What do you notice about the HUNDREDTHS place? (...) One and twenty nine hundredths has an nine in the hundredths place... and one and twenty hundredths has a zero in the hundredths place... so one and twenty nine hundredths is GREATER THAN one and twenty hundredths. It looks like one more package came down the belt, and it has Axel and Tank's names on it! Before we see what's inside let's summarize. Remember, (...) when comparing decimals... start with the GREATEST place value, and compare. If the digits are equal, move on to the next place value. Repeat the process until you find a digit that is greater than or less than... and compare using the greater than or less than symbol. Or, if the digits are the same and the value shaded in is equal, (...) that means the decimal numbers are EQUAL. Don't forget to compare using the equal to symbol. "I can't believe we got these groooovy costumes!" "Yeah! Let's go explore beneath the waves!"