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By now, we have an understanding of three place values: hundreds, tens, and ones. We also have an idea of the different properties of addition and subtraction. In this lesson, we will use our understanding of place values and properties to do addition and subtraction of up to three-digit numbers.
See the fact file below for more information on the add and subtract using place values and properties or alternatively, you can download our 47-page Add and Subtract Using Place Values and Properties worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
- We will do a refresher about place values.
- By now, we know about three different place values.
- The leftmost digit is the hundreds place value.
- The middle digit is the tens place value.
- The rightmost digit is the ones place value.
- For hundreds, we can model it as ten tens.
- For tens, we can model it as one group of ten blocks.
- For ones, we can model it as one block per unit.
BREAK APART METHOD
- Since we already know the models for each place value (hundreds, tens, and ones), we can now use the break apart method.
PROPERTIES OF ADDITION
- For starters, we will have a refresher about the properties of addition.
ADD UP TO FOUR TWO-DIGIT NUMBERS
- Now that we know the break apart method involving place values and the properties of addition, we will try to apply these in order to solve addition of up to four two-digit numbers.
ADDITION WITHOUT REGROUPING
- There are two ways of doing addition, with regrouping and without regrouping. Addition with regrouping is a more complicated method, so we will first tackle addition without regrouping.
- Adding 100 and 10 is an example of addition without regrouping.
- We will understand this better if we perform addition using columns.
ADDITION WITH REGROUPING
- Now, we will move on to addition with regrouping.
- Why do we do regrouping? We do regrouping because the sum of the columns we are adding already exceeded the maximum places. We do regrouping if the sum of the digits per column is not a one-digit sum anymore.
SUBTRACTION WITHOUT REGROUPING
- Since we already know how to add with and without regrouping, we will now tackle how to do subtraction without regrouping.
- Subtraction without regrouping or borrowing is easy, we just need to subtract the digits per column, then write the difference below the line.
SUBTRACTION WITH REGROUPING
- Subtraction with regrouping or borrowing happens when the digit that is on top of another digit in a column is less than the digit below it.
- Note that we have already established that, in subtraction equations, the minuend (the one on the left of the minus sign or the one on the top row) is larger than the subtrahend (the number on the right of the minus sign or the one on the bottom row).
Add and Subtract Using Place Values and Properties Worksheets
This is a fantastic bundle which includes everything you need to know about the add and subtract using place values and properties across 47 in-depth pages. These are ready-to-use Add and Subtract Using Place Values and Properties worksheets that are perfect for teaching students about the Add and Subtract Using Place Values and Properties. By now, we have an understanding of three place values: hundreds, tens, and ones. We also have an idea of the different properties of addition and subtraction. In this lesson, we will use our understanding of place values and properties to do addition and subtraction of up to three-digit numbers.
Complete List Of Included Worksheets
- Lesson Plan
- Add and Subtract Using Place Values and Properties
- Show The Blocks
- Add Add Add
- Plus Minus 10
- Plus Minus 100
- Compose the Decomposed
- Add Them All
- Take Away
- Magic Square
- Word Problems
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Link will appear as Add and Subtract Using Place Values and Properties Facts & Worksheets: https://kidskonnect.com - KidsKonnect, May 3, 2020
Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.