Question

You can do the explain part if you want but don’t have to

Answer 1

n = 100 (or) 10²

Solution:

Given equation is 1.6 ÷ n = 0.016.

Part A:

To simplify the equation and find the value of n.

1.6 ÷ n = 0.016

$\frac{1.6}{n}=0.016$

Do cross multiplication.

$1.6=0.016n$

Divide by 0.016 on both sides of the equation.

$\frac{16}{0.016}=n$

To remove decimal point multiply and divide by 1000 on left side.

$\frac{1.6\times1000}{0.016\times1000}=n$

$\frac{1600}{16}=n$

$100=n$

Switch the sides.

n = 100

n = 10²

Hence the value of n is 10².

Part B:

$1.6\div10^2=\frac{1.6}{100}$

              = 0.016

Hence the answer is true.