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Question

Draw number lines and locate the points on them: (a) 12,14,34,44 (b) 18,28,38,78 (c) 25,35,85,45


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Solution

(a)

Step 1. Draw a line and locate the points 12,14,34,44.

First, make the same denominator in all the fractions.

12=12×22=24

Now, the points are 24,14,34,44.

Draw a number line, mark two points 0 and 1 on it:

Divide the gap between 0 and 1 into four equal parts because denominator is 4:

Now, first part will show 14, second part show 24=12, third part show 34 and last part show 44.

Hence, A,B,C and D represent 14,12,34 and 44 respectively.

(b)

Step 2. Draw a line and locate the points 18,28,38,78.

Draw a number line, mark two points 0 and 1 on it:

Divide the gap between 0 and 1 into eight equal parts because denominator is 8:

Now, first part will show 18. Also, second part show 28, third part show 38, fourth part show 48, fifth part show 58, sixth part show 68, seventh part show 78 and last part show 88.

Hence, A,B,C and D represent 18,28,38 and 78 respectively.

(c)

Step 3. Draw a line and locate the points 25,35,85,45..

Draw a number line, mark two points 0 and 2 on it:

Divide the gap between 0 and 1 and between 1 and 2 into five equal parts because denominator is 5:

Now, first part will show 15. Also, second part show 25, third part show 35, fourth part show 45, fifth part show 55=1, sixth part show 65, seventh part show 75, eighth part show 85, nineth part show 95, and last part show 105.

Hence, A,B,C and D represent 25,35,45 and 85 respectively.


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