1. What is the value of $\frac{2020}{20 \times 20}$ ?
A 10.1
B 5.5
C 5.1
D 5.05
E 0.55
Solution
D
Note: In the absence of a calculator, the best way to tackle this question is to first do some cancelling and then the division. There is more than one way to do this. In our method we twice divide the numerator and denominator by 10 .
$$
\frac{2020}{20 \times 20}=\frac{202}{2 \times 20}=\frac{20.2}{2 \times 2}=\frac{20.2}{4}=5.05 .
$$

For INVESTIGATION
1.1 What is the value of the following?
(a) $\frac{2020}{2 \times 2}$,
(b) $\frac{2020}{200 \times 200}$,
(c) $\frac{2020}{2 \times 200}$.
1.2 Find the positive integer $n$ such that $\frac{2020}{n \times n}=126.25$.
1.3 Find all the positive integers $n$ for which $\frac{2020}{n \times n}$ is an integer.