Respuesta :

Answer:8498

Step-by-step explanation:

(7*1000)+(7*200)+(7*10)+(7*4)

7000+1400+70+28

8498

The value of the given product is 8498.

Given:

The given problem is [tex]7\times 1214[/tex].

To find:

The value of the given product by using the distributive property.

Explanation:

We have,

[tex]7\times 1214[/tex]

It can be written as:

[tex]7\times 1214=7\times (1200+14)[/tex]

Using the distributive property, we get

[tex]7\times 1214=7\times (1200)+7\times (14)[/tex]          [tex][\because a(b+c)=ab+ac][/tex]

[tex]7\times 1214=8400+98[/tex]

[tex]7\times 1214=8498[/tex]

Therefore, the value of given product is 8498.

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