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Step-by-step practice: Maths · Level 2Chapter 3 · Comparing and ordering to 100
Step-by-step Maths Level 2 · Comparing and ordering to 100 · Lesson 3.5

Step-by-step Maths Level 2: Numbers between two others

Part of the Step-by-step Maths Level 2 comparing and ordering to 100 chapter. Chapter overview · whole chapter on one page

3.5

Numbers between two others

Level 2
Use a number line to find a number between two others, Find the number exactly halfway between two numbers

A number between two numbers comes after the smaller one and before the bigger one.

On a number line, count along from the smaller number to see which numbers are between.

3334353637383940
The numbers between 34 and 39 are 35, 36, 37 and 38.

Key ideas

  • Between means after the smaller number and before the bigger one.
  • The two end numbers are not between.
  • Halfway means the same distance from both ends.
Worked example 3.5.1
Write a number between 34 and 39.

Method. Count on from the smaller number. Stop just before the bigger one.

  1. Start at 34. The smaller number is where we start.
    34
  2. Count on until just before 39. Numbers between come after the smaller one and before the bigger one.
    35, 36, 37, 38
  3. Write one of the numbers. Any of these is correct.
    Accept any of 35, 36, 37, 38

Check. Check: any number from the list is bigger than 34 and smaller than 39.

Watch out. Do not write 34 or 39. They are the ends, not the numbers between.

Worked example 3.5.2
What number is exactly halfway between 40 and 50?

Method. Halfway is the number in the middle when we count along the line.

  1. Start at 40. It is one end of the line.
    40
  2. Count on in ones to the middle. Five steps from 40 reaches the middle.
    41, 42, 43, 44, 45
  3. Write the answer. It is the same distance from both ends.
    45

Check. 45 is 5 more than 40, and 5 less than 50.

Watch out. Halfway means the same number of steps from both ends.

Worked example 3.5.3
What number is exactly halfway between 70 and 80?

Method. Halfway is the number in the middle when we count along the line.

  1. Start at 70. It is one end of the line.
    70
  2. Count on in ones to the middle. Five steps from 70 reaches the middle.
    71, 72, 73, 74, 75
  3. Write the answer. It is the same distance from both ends.
    75

Check. 75 is 5 more than 70, and 5 less than 80.

Watch out. Halfway means the same number of steps from both ends.

Watch out

Watch out. When you write a number between 34 and 39, do not write 34 or 39. Those are the ends.

Exam tip

Grown-up tip. Draw a long number line on paper with the two numbers at the ends. Ask: “Which numbers fit in the middle?”

Exercise 3E  Practice: numbers between

Non-calculator
1
PSWhat number is exactly halfway between 30 and 40?
28293031323334?36373839404142
2
PSWrite a number between 28 and 32.
3
PSWrite a number between 45 and 50.
4
PSWhat number is exactly halfway between 40 and 50?
38394041424344?46474849505152
5
PSWhat number is exactly halfway between 50 and 60?
48495051525354?56575859606162
6
PSWrite a number between 81 and 84.
7
PSWrite a number between 92 and 97.
8
PSWhat number is exactly halfway between 60 and 70?
58596061626364?66676869707172
9
PSWrite a number between 22 and 26.
10
PSWrite a number between 74 and 78.
11
PSWhat number is exactly halfway between 20 and 30?
18192021222324?26272829303132
12
PSWrite a number between 48 and 52.
13
PSWrite a number between 30 and 35.
14
PSWhat number is exactly halfway between 90 and 100?
88899091929394?96979899100101102
15
PSWrite a number between 27 and 30.
16
PSWhat number is exactly halfway between 10 and 20?
891011121314?16171819202122

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