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
[tex]$\frac{1.6}{n}=0.016[/tex]
Do cross multiplication.
[tex]1.6=0.016n[/tex]
Divide by 0.016 on both sides of the equation.
[tex]$\frac{16}{0.016}=n[/tex]
To remove decimal point multiply and divide by 1000 on left side.
[tex]$\frac{1.6\times1000}{0.016\times1000}=n[/tex]
[tex]$\frac{1600}{16}=n[/tex]
[tex]100=n[/tex]
Switch the sides.
n = 100
n = 10²
Hence the value of n is 10².
Part B:
[tex]$1.6\div10^2=\frac{1.6}{100}[/tex]
= 0.016
Hence the answer is true.
