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
Numbers between two others
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.
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.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 34. The smaller number is where we start.34
- Count on until just before 39. Numbers between come after the smaller one and before the bigger one.35, 36, 37, 38
- 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.
Method. Halfway is the number in the middle when we count along the line.
- Start at 40. It is one end of the line.40
- Count on in ones to the middle. Five steps from 40 reaches the middle.41, 42, 43, 44, 45
- 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.
Method. Halfway is the number in the middle when we count along the line.
- Start at 70. It is one end of the line.70
- Count on in ones to the middle. Five steps from 70 reaches the middle.71, 72, 73, 74, 75
- 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-calculatorMethod. Halfway is the number in the middle when we count along the line.
- Start at 30. It is one end of the line.30
- Count on in ones to the middle. Five steps from 30 reaches the middle.31, 32, 33, 34, 35
- Write the answer. It is the same distance from both ends.35
Check. 35 is 5 more than 30, and 5 less than 40.
Watch out. Halfway means the same number of steps from both ends.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 28. The smaller number is where we start.28
- Count on until just before 32. Numbers between come after the smaller one and before the bigger one.29, 30, 31
- Write one of the numbers. Any of these is correct.Accept any of 29, 30, 31
Check. Check: any number from the list is bigger than 28 and smaller than 32.
Watch out. Do not write 28 or 32. They are the ends, not the numbers between.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 45. The smaller number is where we start.45
- Count on until just before 50. Numbers between come after the smaller one and before the bigger one.46, 47, 48, 49
- Write one of the numbers. Any of these is correct.Accept any of 46, 47, 48, 49
Check. Check: any number from the list is bigger than 45 and smaller than 50.
Watch out. Do not write 45 or 50. They are the ends, not the numbers between.
Method. Halfway is the number in the middle when we count along the line.
- Start at 40. It is one end of the line.40
- Count on in ones to the middle. Five steps from 40 reaches the middle.41, 42, 43, 44, 45
- 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.
Method. Halfway is the number in the middle when we count along the line.
- Start at 50. It is one end of the line.50
- Count on in ones to the middle. Five steps from 50 reaches the middle.51, 52, 53, 54, 55
- Write the answer. It is the same distance from both ends.55
Check. 55 is 5 more than 50, and 5 less than 60.
Watch out. Halfway means the same number of steps from both ends.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 81. The smaller number is where we start.81
- Count on until just before 84. Numbers between come after the smaller one and before the bigger one.82, 83
- Write one of the numbers. Any of these is correct.Accept any of 82, 83
Check. Check: any number from the list is bigger than 81 and smaller than 84.
Watch out. Do not write 81 or 84. They are the ends, not the numbers between.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 92. The smaller number is where we start.92
- Count on until just before 97. Numbers between come after the smaller one and before the bigger one.93, 94, 95, 96
- Write one of the numbers. Any of these is correct.Accept any of 93, 94, 95, 96
Check. Check: any number from the list is bigger than 92 and smaller than 97.
Watch out. Do not write 92 or 97. They are the ends, not the numbers between.
Method. Halfway is the number in the middle when we count along the line.
- Start at 60. It is one end of the line.60
- Count on in ones to the middle. Five steps from 60 reaches the middle.61, 62, 63, 64, 65
- Write the answer. It is the same distance from both ends.65
Check. 65 is 5 more than 60, and 5 less than 70.
Watch out. Halfway means the same number of steps from both ends.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 22. The smaller number is where we start.22
- Count on until just before 26. Numbers between come after the smaller one and before the bigger one.23, 24, 25
- Write one of the numbers. Any of these is correct.Accept any of 23, 24, 25
Check. Check: any number from the list is bigger than 22 and smaller than 26.
Watch out. Do not write 22 or 26. They are the ends, not the numbers between.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 74. The smaller number is where we start.74
- Count on until just before 78. Numbers between come after the smaller one and before the bigger one.75, 76, 77
- Write one of the numbers. Any of these is correct.Accept any of 75, 76, 77
Check. Check: any number from the list is bigger than 74 and smaller than 78.
Watch out. Do not write 74 or 78. They are the ends, not the numbers between.
Method. Halfway is the number in the middle when we count along the line.
- Start at 20. It is one end of the line.20
- Count on in ones to the middle. Five steps from 20 reaches the middle.21, 22, 23, 24, 25
- Write the answer. It is the same distance from both ends.25
Check. 25 is 5 more than 20, and 5 less than 30.
Watch out. Halfway means the same number of steps from both ends.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 48. The smaller number is where we start.48
- Count on until just before 52. Numbers between come after the smaller one and before the bigger one.49, 50, 51
- Write one of the numbers. Any of these is correct.Accept any of 49, 50, 51
Check. Check: any number from the list is bigger than 48 and smaller than 52.
Watch out. Do not write 48 or 52. They are the ends, not the numbers between.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 30. The smaller number is where we start.30
- Count on until just before 35. Numbers between come after the smaller one and before the bigger one.31, 32, 33, 34
- Write one of the numbers. Any of these is correct.Accept any of 31, 32, 33, 34
Check. Check: any number from the list is bigger than 30 and smaller than 35.
Watch out. Do not write 30 or 35. They are the ends, not the numbers between.
Method. Halfway is the number in the middle when we count along the line.
- Start at 90. It is one end of the line.90
- Count on in ones to the middle. Five steps from 90 reaches the middle.91, 92, 93, 94, 95
- Write the answer. It is the same distance from both ends.95
Check. 95 is 5 more than 90, and 5 less than 100.
Watch out. Halfway means the same number of steps from both ends.
Method. Count on from the smaller number. Stop just before the bigger one.
- Start at 27. The smaller number is where we start.27
- Count on until just before 30. Numbers between come after the smaller one and before the bigger one.28, 29
- Write one of the numbers. Any of these is correct.Accept any of 28, 29
Check. Check: any number from the list is bigger than 27 and smaller than 30.
Watch out. Do not write 27 or 30. They are the ends, not the numbers between.
Method. Halfway is the number in the middle when we count along the line.
- Start at 10. It is one end of the line.10
- Count on in ones to the middle. Five steps from 10 reaches the middle.11, 12, 13, 14, 15
- Write the answer. It is the same distance from both ends.15
Check. 15 is 5 more than 10, and 5 less than 20.
Watch out. Halfway means the same number of steps from both ends.