Hinglish

Patterns on the Number Line

Class 6 Maths · Chapter 3: Number Play · NCERT Ganita Prakash section 3.3

Learn

A number line shows where numbers sit. Here the marks go from 1,000 to 10,000 in jumps of 1,000. 3,640 sits between 3,000 and 4,000, and 8,120 just after 8,000.

To read a mark, first find the jump between two ticks: (end − start) ÷ number of jumps. Then count the jumps.

(5,000 − 4,000) ÷ 10 = 100 → 4,300

Numbers get bigger as we go right. So the smallest is the one furthest left.

3,050 < 5,030 < 5,300

Explore: place numbers on the number line. Drag the point or use the buttons.

  1. Place 3,640 on the line.
  2. Now place 8,120.
  3. Zoom in: this line goes from 6,000 to 7,000. Place 6,730.

Remember

  • Jump = (end − start) ÷ number of jumps.
  • Numbers increase from left to right on a number line.

Quick check

A number line goes from 0 to 1,000 in 10 equal jumps. How big is each jump?

  1. 10
  2. 50
  3. 100
  4. 1,000
Answer

100. (1,000 − 0) ÷ 10 = 100.

Think about it

Which is bigger, 4,708 or 4,780? Which one sits closer to 5,000 on the number line?

One answer

4,780 is bigger: both have 4 thousands and 7 hundreds, but 4,780 has 8 tens and 4,708 has 0. So 4,780 sits closer to 5,000.

Practice

Practise with fresh questions at three levels (easy, medium, hard), some answered hands-on, with hints and worked answers. Get 4 of your last 5 right to finish the topic.