"Law of Multiplication" The relationship between multiplication and division and the law of multiplication PPT courseware 2

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"Law of Multiplication" The relationship between multiplication and division and the law of multiplication PPT courseware 2

Observe the two equations in each group below. What is the relationship between them?

18×7○ 7×18

124×35○35×124

What do each set of equations above have in common?

What rules can be found from the above calculations?

①There are two factors in each set of calculations, and the two factors are the same, but their positions have been exchanged.

②In every equation, the products of the factors on the left and right sides are equal.

Which of the following calculations use the distributive law of multiplication?

117×3+117×7=117×(3+7)

24×(5+12)=24×17

4 × a +5 × a=(4+5) × a

When two factors switch places, the product remains unchanged. This is called the commutative law of multiplication.

If the letters a and b are used to represent two factors, they can be written as:

a×b＝b×a

Multiply the first two numbers first, or multiply the last two numbers first, and the product remains unchanged. This is called the associative law of multiplication.

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

(a×b) ×c＝a× (b×c)

If the sum of two numbers is multiplied by a number, you can first multiply them by the number and then add them together. This is called the distributive law of multiplication.

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

(a+b) ×c＝a×c+b×c

a×(b+c) =a×b+a×c

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Update Time: 2024-10-02

This template belongs to Mathematics courseware Western Normal University Edition Fourth Grade Mathematics Volume 2 industry PPT template

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