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Relating subtraction from 9 to corresponding decompositions involves connecting the subtraction process to the decomposition (or breaking down) of the number 9 into two parts. This concept helps students understand that subtraction is finding the missing part when you have a whole, in this case, the number 9. Here are some strategies to teach this relation:
Use Number Bonds:
Introduce number bonds to represent the decomposition of 9. For example, when subtracting 7 from 9, show the number bond as 7 + ? = 9. The missing part in the bond is the result of the subtraction.
Visual Representation:
Use visual aids such as drawings or objects to represent the decomposition. For instance, show 9 apples and cross out or remove 3. Ask students to visualize the remaining apples. 5-group diagrams can also be used.
Explore Different Decompositions:
Encourage students to explore different ways to decompose 9 and relate each decomposition to subtraction. For example, 9 can be decomposed as 7 + 2 or 4 + 5.
Pairs of numbers that add up to 9 are often referred to as “number pairs” or “number combinations.” Here are the number pairs that equal 9:
1+8=9
2+7=9
3+6=9
4+5=9
5+4=9
6+3=9
7+2=9
8+1=9
9+0=9
These pairs demonstrate the various ways two numbers can be combined to yield a sum of 9. Understanding number pairs that equal 9 is foundational in early mathematics and helps build a strong number sense.
By relating subtraction from 9 to corresponding decompositions, students build a deeper understanding of the relationship between addition and subtraction. This foundational concept sets the stage for more advanced arithmetic skills in the future.
Have a look at this video, if you need to review how to subtract from 9 using decomposition.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Subtract from 9 Worksheets.
Printable
(Answers on the second page.)
Subtract from 9 Worksheet #1
Subtract from 9 Worksheet #2
Subtract from 9 Worksheet #3
There are ten subtraction within 10 worksheets.
Subtract 0 or 1 (eg. 7 - 0, 8 - 1)
Subtract all or 0 (eg. 9 - 9, 9 - 0)
Subtraction as an Unknown Addend
Missing Subtrahend (eg. 6 - __ = 4)
Missing Minuend (eg. __ - 3 = 5)
Missing Number in Subtraction
Subtract from 9
Subtract from 10
Subtraction with numbers within 10 (eg. 8 - 2)
Subtraction Word Problems within 10
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