Question

Laura shaded 60 squares on her hundredths grid. Billy shaded 50 squares on his hundredths grid. A. Write an expression that is the sum of two fractions and has a value greater than Billy’s decimal and less than Laura’s decimal. B. Write two decimals equivalent to Laura’s decimal.

Answer 1

(A) The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.

(B) The two decimals equivalent to Laura’s decimal are 0.6 and 0.600.

Explanation:

We are given that Laura shaded 60 squares on her hundredths grid. Billy shaded 50 squares on his hundredths grid.

(A) Laura shaded 60 squares on her hundredths grid, that means;

`60 * (1)/(100) = 0.60`

Similarly, Billy shaded 50 squares on his hundredths grid, that means;

`50 * (1)/(100) = 0.50`

The two fractions that have a value greater than Billy’s decimal and less than Laura’s decimal is given by;

This means 0.50 < x < 0.60

The two fractions can be 0.54 and 0.55 and something else also between 0.50 and 0.60.

(B) The two decimals equivalent to Laura’s decimal are;

Laura's decimal fraction is 0.60

So, 0.6 is equivalent to 0.60

and 0.600 is also equivalent to 0.60

Hence, the two decimals equivalent to Laura’s decimal are 0.6 and 0.600.