Estimate and identify numbers on number lines | Maths

Starter quiz

Match the expression to its answer.
- 1,000,000 ÷ 10
  
  ⇔
  
  = 100,000 ✓
- 1,000,000 ÷ 5
  
  ⇔
  
  = 200,000 ✓
- 1,000,000 ÷ 4
  
  ⇔
  
  = 250,000 ✓
- 100,000 ÷ 5
  
  ⇔
  
  = 20,000 ✓
- 100,000 ÷ 4
  
  ⇔
  
  = 25,000 ✓
- 100,000 ÷ 10
  
  ⇔
  
  = 10,000 ✓
Match the statement to the answer.
- Half of 100 is
  
  ⇔
  
  50 ✓
- Half of 500 is
  
  ⇔
  
  250 ✓
- Half of 10,000 is
  
  ⇔
  
  5,000 ✓
- Half of 50,000 is
  
  ⇔
  
  25,000 ✓
- Half of 100,000 is
  
  ⇔
  
  50,000 ✓
- Half of 1,000,000 is
  
  ⇔
  
  500,000 ✓
Look at the number line. What number is represented by the letter ‘a’?
- '1,200' ✓
Look at the number line. Match the letters to the number that they represent.
- 1,200
  
  ⇔
  
  a ✓
- 1,600
  
  ⇔
  
  b ✓
- 1,800
  
  ⇔
  
  c ✓
Look at the number line. Find the sum of ‘a’ and ‘b’.
- 1,600
- 2,400
- 2,800 ✓
- 3,000
Look at the number line. Find the difference between ‘a’ and ‘c’.
- '600' ✓

Exit quiz

Look at the number line. Match the letters to the number that they represent.
- a
  
  ⇔
  
  8,250,000 ✓
- b
  
  ⇔
  
  8,500,000 ✓
- c
  
  ⇔
  
  8,750,000 ✓
Look at the number line. Match the letters to the number that they represent.
- a
  
  ⇔
  
  620,000 ✓
- b
  
  ⇔
  
  640,000 ✓
- c
  
  ⇔
  
  660,000 ✓
- d
  
  ⇔
  
  680,000 ✓
Look at the number line. Identify the number represented by the letter ‘a’.
- '84,000' ✓
Look at the number line. Identify the number represented by the letter ‘a’.
- '3,800,000' ✓
Look at this section of a number line. Estimate the value of the number that the arrow is pointing to.
- 350,000
- 3,100,000
- 3,500,000 ✓
- 3,900,000
Look at this section of a number line. Estimate the value of the number that the arrow is pointing to.
- 9,345,698
- 9,500,000
- 9,100,000 ✓
- 910,000

Worksheet

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Presentation

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Lesson Details

Key learning points

Understanding the scale of a number line helps to estimate and identify numbers on it.
To determine the multiples that the number line increases in, take the whole and divide it by the number of parts.
Locating the midpoint on a number line or between multiples helps to estimate.

Common misconception

Children may incorrectly place a number on a number line according to just counting the parts rather than working out the scale.

Determine the multiples that the number line is increasing in first: find the difference between the given start and end numbers and divide by the number of parts.

Keywords

Estimate - When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.
Midpoint - The midpoint is the middle of something - in this case the middle of a number line. It is the point halfway along.