Using Place Value to Subtract Two Digit Numbers (No Regrouping)—Let's Practise
- Using Place Value to Subtract Without Regrouping– Introduction
- What Does it Mean to Use Place Value to Subtract?
- Using Place Value to Subtract – Example
- Using Place Value to Subtract – Guided Practice
- Using Place Value to Subtract – Application
- Using Place Value to Subtract – Examples
- Using Place Value to Subtract – Summary
- Using Place Value to Subtract – Frequently Asked Questions
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Basics on the topic Using Place Value to Subtract Two Digit Numbers (No Regrouping)—Let's Practise
Using Place Value to Subtract Without Regrouping– Introduction
Get ready because today we're going to practise using place value to subtract without regrouping. It’s a cool way to understand subtraction better using base ten blocks. Ready to begin? Let's go!
What Does it Mean to Use Place Value to Subtract?
Using place value to subtract means breaking down numbers into tens and ones, and then subtracting each place value separately.
For example, if you have the number 33, you can represent it with three tens and three ones. Representing the first number like this makes subtraction easier and more visual. It is also a very effective method when you do not need to regroup when subtracting. Let’s practise this with some fun problems!
Using Place Value to Subtract – Example
Let's solve a problem using place value to subtract:
Problem
What is 33 minus 12?
Solution
Follow these simple steps to find the solution.
| Step | Explanation | Result |
|---|---|---|
| Represent 33 with base ten blocks | Three tens and three ones | 33 |
| Cross off 2 ones and 1 ten | Take away 2 ones from 3 ones and 1 ten from 3 tens | |
| Count the remaining blocks | Two tens and one one | 21 |
So, 33 minus 12 equals 21!
Using Place Value to Subtract – Guided Practice
Let's try another problem together.
Problem
What is 58 minus 28?
So, 58 minus 28 equals 30!
Using Place Value to Subtract – Application
Now, try solving this problem on your own:
Problem What is 83 minus 42?
So, 83 minus 42 equals 41!
Using Place Value to Subtract – Examples
To help yourself in becoming fluent in using place value to subtract, have a look at some more examples and complete them by following the steps.
| Problem | Representation | Cross Off | Remaining Blocks | Solution |
|---|---|---|---|---|
| 33 - 12 | Three tens, three ones | Two ones, one ten | Two tens, one one | 21 |
| 58 - 28 | Five tens, eight ones | Eight ones, two tens | Three tens | 30 |
| 83 - 42 | Eight tens, three ones | Two ones, four tens | Four tens, one one | 41 |
| 64 - 32 | Six tens, four ones | Two ones, three tens | Three tens, two ones | 32 |
Using Place Value to Subtract – Summary
Key Learnings from this Text:
- Using place value to subtract helps us understand subtraction by breaking numbers into tens and ones.
- Using place value to subtract is particularly convenient for subtracting numbers that do not require regrouping.
- Represent the number with base ten blocks.
- Cross off the appropriate number of tens and ones to subtract.
- Count the remaining blocks to find the solution.
Keep practising using place value to subtract to become a maths whiz! Check out more fun maths problems and activities on our website, such as subtraction by adjusting numbers, subtraction using addition or using number lines to subtract.
Using Place Value to Subtract – Frequently Asked Questions
Using Place Value to Subtract Two Digit Numbers (No Regrouping)—Let's Practise exercise
-
What is 67 subtract 42?
HintsHow many tens and ones in 42?
42 is made up of 4 tens and 2 ones. This is what you need to subtract from 67.
How much is left after 4 tens and 2 ones have been subtracted?
Solution67 - 42 = 25
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What is 93 subtract 62?
HintsCreate a place value representation of 93.
There will be 9 tens and 3 ones.
In 62, there are 6 tens and 2 ones. Subtract this from 93.
Use this place value grid to help you.
Solution93 - 62 = 31
-
Can you find the answers to the subtraction problems?
HintsCreate your own place value grid and represent the larger number.
For example, if we were solving 98 - 55, we could create a place value grid like this.
We would then need to work out how many tens and ones in 55 and cross these off.
55 is made up of 5 tens and 5 ones. What is left is the answer.
Solution98 - 55 = 43
We can see this represented in the image above.
______________________________________________________
- 77 - 36 = 41
- 86 - 53 = 33
- 64 - 32 = 32
-
Solve the subtraction problems.
HintsRepresent the larger number with place value blocks.
You could draw them out with a pencil and paper.
Find out how many tens and ones the smaller number is made up of and cross these out.
You can use this image to help you to solve 62 - 41.
You can create something similar yourselves to solve the other problems.
Solution21
- 62 - 41 = 21
- 76 - 55 = 21
- 48 - 27 = 21
- 93 - 71 = 22
- 45 - 23 = 22
- 57 - 35 = 22
- 68 - 45 = 23
- 74 - 51 = 23
- 89 - 66 = 23
-
What is 48 subtract 22?
Hints48 has been represented in the place value grid, we need to subtract 22.
How many tens and ones in 22?
22 is made up of 2 tens and 2 ones.
Use this place value grid to help you.
Solution48 - 22 = 26
-
Can you solve the word problems?
HintsIdentify the two numbers in each problem and write out a subtraction number sentence.
Represent the larger number with place value blocks.
How many tens and ones is the smaller number made up of? Cross this off and see what is left.
SolutionIn Class 1 there was a fruit basket with 38 bananas. On Monday, 23 children chose to have a banana. Now there are 15 bananas left. 38 - 23 = 15
Class 2 are doing some art with leaves. Their teacher collected 87 leaves and 64 of them were used during the art lesson. There are 23 left now. 87 - 64 = 23
Subtract by Adding
Subtraction (Counting on) — Let's Practise!
Using Base 10 Blocks to Subtract 2 Digit Numbers
Subtraction - Adjusting Numbers
Using Place Value to Subtract Two Digit Numbers (No Regrouping)
Using Place Value to Subtract Two Digit Numbers (No Regrouping)—Let's Practise
Using Base Ten Blocks to Subtract Two Digit Numbers (With regrouping)
Using Place Value to Subtract (Regrouping)
