question_answer 7)

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number? (a) 0.8 (b) 5.1 (c) 2.6 (d) 6.4 (e) 9.1 (f) 4.9

Answer:

Firstly, draw the number line and divide the unit length between two whole numbers into 10 equal parts, each of these equal parts represents 0.1 or 1/10. Now, locate the given decimals on this line. (a) We have, 0.8. From the above figure, it is clear that number 0.8 lies between the whole numbers 0 and 1. Hence, number 0.8 is nearer to number 1. (b) We have, 5.1. From the above figure, it is clear that number 5.1 lies between the whole numbers 5 and 6. Hence, number 5.1 is nearer to number 5. (c) We have, 2.6. From the above figure, it is clear that number 2.6 lies between the whole numbers 2 and 3. Hence, number 2.6 is nearer to number 3. (d) We have, 6.4. From the above figure, it is clear that number 6.4 lies between the whole numbers 6 and 7. Hence, number 6.4 is nearer to number 6. (e) We have, 9.1. From the above figure, it is clear that number 9.1 lies between the whole numbers 9 and 10. Hence, number 9.1 is nearer to number 9. (f) We have, 4.9 From the above figure, it is clear that number 4.9 lies between the whole numbers 4 and 5. Hence number 4.9 is nearer to number 5. Note A decimal will be nearer to that number from, which it has minimum distance, e.g. 6.4 lies between 6 and 7 and its distance from 6 (distance 4 parts) is minimum than 7 (distance 6 parts).