"Law of Addition" PPT courseware on the relationship between addition and subtraction and the law of addition

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"Law of Addition" PPT courseware on the relationship between addition and subtraction and the law of addition

Commutative law of addition: When two numbers are added, the positions of the two addends are swapped, and the sum remains unchanged.

a+b=b+a

If the letters a, b, c are used to represent three addends, it can be written as:

(a+b)+c＝a+(b+c)

To add three numbers, add the first two numbers and then add the third number. Or add the last two numbers first, then add the first number, and the sum remains unchanged. This is called the additive associativity law.

law of addition

Commutative law of addition (addition position) Associative law of addition (addition brackets)

12+25=25+12 (89+96)+104 =89+ (96+104)

a+b=b+a conjecture

24+15+6 36+132+84

=24+6+15 =36+84+132 Verification 89+96+104= 89+（96+104）

a+b+c=a+c+b=c+b+a Conclusion (a+b)+c=a+(b+c)

Judgment (Pick “√” if it’s right, “×” if it’s wrong.)

1. 109＋（38＋162）=109＋38＋162 ( )

2. 470-25+75=470-(25+75) ( )

3. Number A + Number B = Number B + Number A ( )

4. ○ ＋（△＋☆）=○ ＋ △＋☆（ ）

5. 84＋68＋32 =84＋（68＋23）（ ）

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Update Time: 2024-09-23

This template belongs to Mathematics courseware Western Normal University Edition Fourth Grade Mathematics Volume 1 industry PPT template

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