the number sentence 4x7=(4x3)+(4x4) is an example of what property

The number sentence 4x7=(4x3)+(4x4) is an example of distributive property.
The distributive property states the following:
a × (b + c) = a × b + a × c
Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
In our case, a=4 b+c=7, b=3, c=4

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snehapa snehapa · Answer 2 · 2019-10-16T21:09:24+02:00

The number sentence [tex]4\times7=\left({4\times3}\right)+\left({4\times4}\right)[/tex] is an example of distributive property.

Further Explanation:

Commutative property of addition can be expressed as follows,

x + y = y + x

Commutative property of multiplication can be expressed as follows,

[tex]x\times y=y\times x[/tex]

Distributive property can be expressed as,

[tex]\boxed{a\times b=\left({a\times c}\right)+\left({a\times d}\right)}[/tex]

The value of b = c + d

Given:

The number sentence is [tex]4\times 7=\left({4\times 3}\right)+\left({4\times 4}\right)[/tex].

Explanation:

The number sentence is [tex]4\times 7=\left({4\times 3}\right)+\left({4\times 4}\right)[/tex] is defined by the distributive property.

The value of a is 4 the value of b is 3, value of c is 4.

Hence, the number sentence [tex]4\times 7=\left({4\times 3}\right)+\left({4\times 4}\right)[/tex] is an example of distributive property.

Learn more:

1. Learn more about inverse of the function https://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometric progression

Keywords: Number sentence, property, example, distributive property, commutative property of addition, Associative property, Multiplicative identity property.