Question

what number multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6

Answer 1

=>10³

5 × 10³ × 10³ = 5 × 10⁶

Answer 2

The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 5×10³

We have to make the above expression equivalent to the $5\times 10^6$

Let's suppose the number is x.

Now according to the question:

$\rm (5\times10^3)\times x = 5\times 10^6$

$\rm x = \frac{5\times 10^6}{(5\times10^3)}$    (divide by 5×10³ on both sides)

x = 10³           (after simplification)

x = 1000

Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

Learn more about the distributive property here:

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