Question

Which is greater? [2 marks]
(a) 1 or 0.99 (b) 1.09 or 1.093.

Answer 1

(a) 1 = 1 + $\frac{0}{10}+\frac{0}{100}$
0.99 = 0 + $\frac{9}{10}+\frac{9}{100}$
The whole part of 1 is greater than that of the whole number part of 0.99.
Therefore, 1 > 0.99. [1 mark]

(b) 1.09 = 1 + $\frac{0}{10}+\frac{9}{100}$
1.093 = 1 + $\frac{0}{10}+\frac{9}{100}+\frac{3}{1000}$
In this case, the two numbers have same parts upto hundredth.
But the thousandths digit of 1.093 is greater than that of the thousandths digit of 1.09.
Therefore, 1.093 > 1.09. [1 mark]