Respuesta :

first you solve 4*384 which gives you 1536 you multiply 4*5,000 which gives you 20,000, then add them together

I am in middle school helping out a college student, I am proud of myself

Answer:

[tex]4\times 384=1536[/tex]

[tex]4\times 5384=21536[/tex]

Step-by-step explanation:

To find : Explain how finding [tex]4\times 384[/tex] can help you find [tex]4\times 5384[/tex] then find both products ?

Solution :

First we find the product of [tex]4\times 384[/tex]

[tex]4\times 384=1536[/tex] .....(1)

Now, to find the product of [tex]4\times 5384[/tex]

We can re-write the product as,

[tex]4\times 5384=4\times (5000+384)[/tex]

Apply distributive property, [tex]a(b+c)=ab+ac[/tex]

[tex]4\times 5384=4\times 5000+4\times 384[/tex]

Using (1),

[tex]4\times 5384=20000+1536[/tex]

[tex]4\times 5384=21536[/tex]