Grade 2Place Value to 1,0002.MD.B.6

Numbers on a Number Line

Place numbers on a line with equally spaced marks.

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A number line is like a ruler for numbers. The marks are spaced evenly, so every jump from one mark to the next is the same size. Skip counting (Skip Counting by 5s, 10s and 100s) helps you read it.

Only 300 and 400 are labeled. What number is the dot?

Why it works

From 300 to 400 is 100. There are 10 equal jumps, and 10 jumps of 10 make 100, so each jump is 10. Now count jumps from 300: 310, 320, 330, 340, 350, 360, 370. The dot is 7 jumps along, at 370.

Worked example: Find the jump size

A number line goes from 0 to 1,000 in 10 equal jumps. How big is each jump?
  1. Try counting by 100s: 100, 200, …, 1,000.
  2. That takes 10 jumps, so each jump is 100.

Answer: 100

Worked example: Count jumps, not marks

Each jump is 10. A dot is 4 jumps after 50. Where is it?
  1. Start at 50. Don’t count the 50 mark itself.
  2. Jump: 60, 70, 80, 90.

Answer: 90

Only 600 and 610 are labeled. Find the jump size first, then find the dot.

Key idea

On a number line every jump is the same size. Find the jump size first, then count jumps, not marks.

Common mistake

Counting the tick marks instead of the jumps. If you count the starting mark as “1,” you end up one jump too far. Check: put your finger on the start, then count each hop to the next mark.
Grown-up tip: Draw a number line on a long strip of paper and let your child hop a toy along it.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Builds on

Leads to

Sources and further reading

  • Common Core State Standards for Mathematics, Grade 2, standard 2.MD.B.6 (represent whole numbers as lengths from 0 on a number line with equally spaced points)
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