Exercise 43 Page 20

When comparing numbers, it is best to first ensure that they are as similar as possible. We are given a fraction and a decimal number. - 2225, - 0. 8 To compare them, we will start by rewriting - 2225 as a decimal number.

- 22/25

ExpandFrac

a/b=a * 4/b * 4

-88/100

WriteDec

Write as a decimal

- 0.88

The second number is equal to - 0.888888... with the 8 repeating infinitely. - 0.8 = - 0.888888... Finally, we can make our comparison. Notice that both values are negative. This means that the number closer to zero is always greater. Since the thousands place is larger for - 0.8, we know that the second value is less than the first value. - 0.88 0 > - 0.88 888... ⇔ - 2225 > - 0.8