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Relating subtraction from 10 to corresponding decompositions involves connecting the subtraction process to the decomposition (or breaking down) of the number 10 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 10. Here are some strategies to teach this relation:
Use Number Bonds:
Introduce number bonds to represent the decomposition of 10. For example, when subtracting 7 from 10, show the number bond as 7 + ? = 10. 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 10 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 10 and relate each decomposition to subtraction. For example, 10 can be decomposed as 8 + 2 or 5 + 5.
Pairs of numbers that add up to 10 are often referred to as “number pairs” or “number combinations.” Here are the number pairs that equal 10:
1+9=10
2+8=10
3+7=10
4+6=10
5+5=10
6+4=10
7+3=10
8+2=10
9+1=10
10+0=10
These pairs demonstrate the various ways two numbers can be combined to yield a sum of 10. Understanding number pairs that equal 10 is foundational in early mathematics and helps build a strong number sense.
By relating subtraction from 10 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 10 using decomposition.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Subtract from 10 Worksheets.
Printable
(Answers on the second page.)
Subtract from 10 Worksheet #1
Subtract from 10 Worksheet #2
Subtract from 10 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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