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Common Laws of Primary School Mathematics: Law of Multiplication and Distribution
Common Laws of Primary School Mathematics: Law of Multiplication and Distribution

Multiplicative distribution law:

Adding (or subtracting) two numbers and then multiplying by another number is equivalent to multiplying this number by two addends (subtracting) and then adding (subtracting) the two products to get the same number.

Expressed in letters:

(a+b)x c=axc+bxc

There is also a representation:

ax(b+c)=ab+ac

example

25? 404

=25? (400+4)

=25? 400+25? four

= 10000+ 100

= 10 100

Inverse application of multiplication and distribution law

25? 37+25? three

=25? (37+3)

=25? 40

= 1000

Multiplication and distribution law can also be used to calculate decimals and fractions.

Example:

25? 404

=25? (400+4)

=25? 400+25? four

= 10000+ 100

= 10 100

Reverse use of multiplication and distribution rules;

35? 37+65? 37

=37? (35+65)

=37? 100

=3700

Reverse application of multiplication and distribution law;

35? 37+65? 37 =37? (35+65) =37? 100 =3700

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