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2 months ago

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

2 answers:

8 0

The equation 4x7=(4x3)+(4x4) illustrates the distributive property.
The distributive property can be written as:
a × (b + c) = a × b + a × c
Multiplying a sum by a single factor yields the same result as multiplying each addend by that factor and then adding the results. 
Here, a=4, b+c=7, b=3, c=4

Inessa [12.5K]2 months ago

8 0

The number sentence $4\times7=\left({4\times3}\right)+\left({4\times4}\right)$ demonstrates the distributive property.

Further Explanation:

The commutative property of addition is stated as,

x + y = y + x

The commutative property of multiplication can be written as,

$x\times y=y\times x$

The distributive property is expressed by,

$\boxed{a\times b=\left({a\times c}\right)+\left({a\times d}\right)}$

The value of b = c + d

Given:

The number sentence is $4\times 7=\left({4\times 3}\right)+\left({4\times 4}\right)$ .

Explanation:

The number sentence $4\times 7=\left({4\times 3}\right)+\left({4\times 4}\right)$ is an instance of the distributive property.

Here a = 4, b = 3, and c = 4.

Therefore, the number sentence $4\times 7=\left({4\times 3}\right)+\left({4\times 4}\right)$ exemplifies the distributive property.

Learn more:

1. Learn more about inverse of the function .

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

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.

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