Question 47 of 58intermediate🔧 ApplyDiagram2 marks

Locate the following rational numbers on the number line.

(i)

0.532

Answer

Locate 0.532 by dividing the unit interval between 0 and 1 into 1000 equal parts and moving 532 parts to the right of 0.

(ii)

1.15‾1.1\overline{5}

Answer

Locate 1.15‾\overline{5} by dividing the unit interval between 1 and 2 into 45 equal parts and moving 7 parts to the right of 1.

Explanation

To represent a rational number p/q on the number line, we divide the unit interval between two consecutive integers into q equal parts and move p parts to the right if the number is positive. For 0.532, which is 532/1000, we divide the interval between 0 and 1 into 1000 parts and move 532 parts right from 0. For 1.15‾\overline{5}, which is 1 + 7/45, we divide the interval between 1 and 2 into 45 parts and move 7 parts right from 1.