Comparing Numbers Up to 100
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Basics on the topic Comparing Numbers Up to 100
Comparing Numbers Up to 100
What does comparing numbers mean? Comparing numbers means using base 10 blocks to be able to compare two two-digit numbers and describe which one is more, less or the same. By this, you are able to determine if a number is bigger, smaller or the same as another. Let’s have a look at how comparing numbers up to 100 works!
Comparing Numbers – Place Value Charts
When comparing numbers, we can use place value charts. In a place value chart, you can represent numbers and their values. Each digit in a number has a place value. Digits in the ones place have a value of one each. Digits in the tens place have a value of ten each. Let’s look at the number eighty-four for example:
| Tens | Ones |
|---|---|
| 8 | 4 |
The number 84 can be represented in this place value chart. We have eight tens (eighty) and four ones (four).
Comparing Numbers Up to 100 – Examples
Let’s look at how comparing numbers works using place value charts and base ten blocks. This is what you need to do: when comparing and ordering numbers, look at the tens place first to see which digit is greater.
Here we can see 23 has a 2 in the tens place, whereas 32 has a 3 in the tens place. That means 32 has 3 tens and 23 has 2 tens. Therefore, 32 is greater than 23.
Sometimes when comparing numbers to 100, the tens place might be the same in both numbers. If the tens place digit is the same in both numbers, we need to look at the digits in the ones place.
Here we can see 64 and 66 both have 6 in the tens place so we need to look at the digits in the ones place. 64 has a 4 in the ones place whereas 66 has a 6 in the ones place. 6 is greater than 4 therefore 66 is greater than 64.
Comparing Numbers Up to 100 – Follow Up Activities
To continue practising comparing numbers, have a go at our comparing numbers to 100 worksheets as well as interactive activities and exercises for KS1. You can find them at the end of the video.
Transcript Comparing Numbers Up to 100
"Henry, let’s have an apple picking competition. We'll count the apples on two trees then guess which one has more. And if someone says the wrong number is greater, they have to climb up in the tree and pick all of the apples." "Deal!" "Comparing Numbers Up to 100" Tens and ones are place values. Each digit in a number has a place value. Digits in the ones place are made up of ones. Digits in the tens place are made up of tens. For example, here the eight represents eighty because eight tens are eighty. Skylar and Henry picked two trees and counted the apples. Henry counted twenty-three apples and Skylar counted thirty-two. Henry says that twenty-three is greater, or bigger, than thirty-two and so his tree has more apples. Is Henry right? Let’s use a place value chart and base ten blocks to compare the numbers and see which one is greater. When comparing two-digit numbers, we start by looking at the tens place and seeing which one has more. Let’s look at the numbers twenty-three and thirty-two. In the number twenty-three, the two is under the tens column because it's in the tens place and tells us we need two tens. The three is under the ones because it's in the ones place and tells us we need three ones. Now, look at the number thirty-two. The three is under the tens because it's in the tens place and the two is under the ones. How many tens do we need to put under the tens place? Three. How many ones do we put under the ones? Two. Now we'll compare to see which number is greater. Next, we need to check the larger place value, in this case the tens place, to see which number is bigger. Here there is a two in the tens place, which means we have twenty. In the number, thirty-two, there are three tens in the tens place, for thirty. There are more tens in thirty-two than twenty-three, so thirty-two is greater. Henry mixed up the place values and Skylar’s tree actually has more apples! "Oh, I get it!" "That was just practice." "Let’s try one more time." On the next try, Henry counted sixty-four apples on his tree and Sklyar counted sixty-six apples. Skylar says she has counted more apples than Henry. Is Skylar right? Let's put sixty- four and sixty-six in the place value charts. In the number sixty-four, how many tens do we have? Six. How many do we put in the ones place? Four. Look at the number sixty-six. How many tens do we have? Six. How many do we put in the ones place? Six. Now, we’ll compare to see which number is greater. Remember, we start with the tens place because it is the larger place value. What do you notice about the numbers in the tens place? The numbers are the same. When the numbers are the same in the tens place, we need to look at the ones place to compare. Which number has more ones? Sixty-six has more in the ones place, so it is greater than sixty-four. Skylar was right! While Skylar and Henry sort out the competition winner, remember, when comparing two-digit numbers, we start by looking at the tens place to see which one has more. If the numbers are the same in the tens place, then we look at the ones place to see which number is greater. "Wait! Skylar, there are more apples on this tree than I counted!" "Wait Henry, let me help you!"
Comparing Numbers Up to 100 exercise
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Which base ten blocks show the correct number of apples Henry counted in his tree?
HintsHow many tens are in 72? Make sure there are this many blue ten rods.
How many ones are in 72? Make sure there are this many green ones cubes.
SolutionThe number 72 has 7 tens and 2 ones.
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Greater than or less than?
HintsWhen comparing numbers, we start by looking at the tens place.
35 has a 3 in the tens place.
Is the number in the tens place of the number you are comparing greater than or less than 3?If the numbers in the tens place are the same, look at the ones place and compare.
35 has a 5 in the ones place.
Is the number in the ones place of the number you are comparing greater than or less than 5?SolutionThe number 35 has 3 tens and 5 ones.
When comparing numbers, we start by looking at the tens place and seeing which one has more.
Remember, we start with the tens place because it is the larger place value. When the numbers are the same in the tens place, then we need to look at the ones place to compare.
- 33: The number 33 is less than 35. It has 3 tens and 3 ones.
- 82: The number 82 is greater than 35. It has 8 tens and 2 ones.
- 15: The number 15 is less than 35. It has 1 ten and 5 ones.
- 60: The number 60 is greater than 35. It has 6 tens and 0 ones.
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Who collected the most apples?
HintsStart by comparing the numbers in the tens place.
Which number has the most tens?
If more than one number has the same digit in the tens, which has the most ones?
SolutionHenry collected the most apples!
- Look at the numbers in the tens place first.
- Two of the numbers have a 2 in the tens place, one has a 1, and one doesn’t have any number in the tens place.
- 2 is greater than 1 but there are two numbers with 2 in the tens place, so we look at the ones place of those two numbers.
- 27 has a 7 in the ones place and 25 has 5 in the ones place.
- 7 is greater than 5, so 27 is greater than 25.
- Out of the four numbers, 27 is the greatest number.
- Henry collected the most apples. He collected 27 apples, which has 2 tens and 7 ones.
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Comparing numbers.
HintsTo find which day Skylar collected the most apples, look for the greatest number.
To find which day Skylar collected the least apples, look for the smallest number.
Compare numbers in the tens place first then move to the ones place if the digits in the tens place are the same.
SolutionSkylar collected the most amount of apples on Tuesday. She collected 29 apples on Tuesday. The number 29 has 2 tens and 9 ones.
Skylar collected the least amount of apples on Monday. She collected 5 apples on Monday. The number 5 has 0 tens and 5 ones. -
Who collected the most apples?
HintsStart by comparing the tens place.
If the numbers in the tens places are the same, compare the numbers in the ones place.
Remember:
- a ten is represented by a blue ten rod
- a one is represented by a green one cube
SolutionSkylar collected the most apples.
- Start by comparing the tens place.
- 76 and 78 both have 7 in the tens place, so we need to compare the ones place.
- 76 has a 6 in the ones place, whereas 78 has an 8 in the ones place.
- 8 is greater than 6, therefore 78 is greater than 76.
- Skylar collected the most apples.
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Put the numbers in order from least to greatest.
HintsLeast means the smallest and greatest means the biggest.
Start by comparing the tens place, moving to the ones place if necessary.
SolutionHere we see the numbers in order from least to greatest.
