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Verified Answer :

first you solve 4384 which gives you 1536 you multiply 45,000 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:

\(4\times 384=1536\)

\(4\times 5384=21536\)

Step-by-step explanation:

To find : Explain how finding \(4\times 384\) can help you find \(4\times 5384\) then find both products ?

Solution :

First we find the product of \(4\times 384\)

\(4\times 384=1536\) .....(1)

Now, to find the product of \(4\times 5384\)

We can re-write the product as,

\(4\times 5384=4\times (5000+384)\)

Apply distributive property, \(a(b+c)=ab+ac\)

\(4\times 5384=4\times 5000+4\times 384\)

Using (1),

\(4\times 5384=20000+1536\)

\(4\times 5384=21536\)