New
New
Year 7
Between numbers
I can appreciate that, for any two numbers, there is always another number in between them.
New
New
Year 7
Between numbers
I can appreciate that, for any two numbers, there is always another number in between them.
Lesson details
Key learning points
- Using a number line you can find numbers between two integers.
- Using a number line you can find numbers between two proper fractions.
- Using a number line you can find numbers between two decimals..
- Using a number it is always possible to find a number between two other numbers.
Common misconception
When decimals go beyond thousandths you cannot find a number between 2 numbers.
Use a 'zoomable' number line to show what happens as we zoom in.
Keywords
Equivalent fraction - Two fractions are equivalent if they have the same value.
Proper fraction - A proper fraction is a fraction where the numerator is less than the denominator.
Lowest common multiple - The lowest common multiple is the lowest number that is a multiple of two or more numbers.
Choose a 'secret' decimal, the number of decimal places can be adapted to the ability of the class. Pupils ask questions 'is it between ... & ...?' You answer yes or no and choose another pupil. They keep 'zooming' in until they get it correct.
Teacher tip
Equipment
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
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6 Questions
Q1.
The absolute value of a number is its from zero.
Correct Answer: distance
distance
Q2.
Order the values from smallest to largest.
1 - $$(-0.241)$$
1
- $$(-0.241)$$
2 - $$(-0.24)$$
2
- $$(-0.24)$$
3 - $$(-0.239)$$
3
- $$(-0.239)$$
4 - $$(-0.237)$$
4
- $$(-0.237)$$
5 - $$(-0.024)$$
5
- $$(-0.024)$$
Q3.
Order the values from smallest to largest.
1 - $$(-72.1)$$
1
- $$(-72.1)$$
2 - $$(-72.01)$$
2
- $$(-72.01)$$
3 - $$(-70.2)$$
3
- $$(-70.2)$$
4 - $$70.2$$
4
- $$70.2$$
5 - $$72.01$$
5
- $$72.01$$
6 - $$72.1$$
6
- $$72.1$$
Q4.
Order these fractions from smallest to largest.
1 - $$\left(-17\frac{1}{4}\right)$$
1
- $$\left(-17\frac{1}{4}\right)$$
2 - $$\left(-16\frac{3}{4}\right)$$
2
- $$\left(-16\frac{3}{4}\right)$$
3 - $$\left(-16\frac{1}{2}\right)$$
3
- $$\left(-16\frac{1}{2}\right)$$
4 - $$16\frac{1}{5}$$
4
- $$16\frac{1}{5}$$
5 - $$16\frac{1}{4}$$
5
- $$16\frac{1}{4}$$
6 - $$16\frac{1}{2}$$
6
- $$16\frac{1}{2}$$
Q5.
Order these fractions from smallest to largest.
1 - $$\left(-\frac{3}{8}\right)$$
1
- $$\left(-\frac{3}{8}\right)$$
2 - $$\left(-\frac{7}{24}\right)$$
2
- $$\left(-\frac{7}{24}\right)$$
3 - $$\left(-\frac{12}{48}\right)$$
3
- $$\left(-\frac{12}{48}\right)$$
4 - $$\left(-\frac{3}{16}\right)$$
4
- $$\left(-\frac{3}{16}\right)$$
Q6.
Order these values from smallest to largest.
1 - $$\left(-\frac{13}{16}\right)$$
1
- $$\left(-\frac{13}{16}\right)$$
2 - $$\left(-\frac{5}{8}\right)$$
2
- $$\left(-\frac{5}{8}\right)$$
3 - $$0.25$$
3
- $$0.25$$
4 - $$0.375$$
4
- $$0.375$$
5 - $$\frac{17}{32}$$
5
- $$\frac{17}{32}$$
Exit quiz
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6 Questions
Q1.
The is the lowest number that is a multiple of two or more numbers.
Correct Answer: LCM, lowest common multiple, lcm
LCM, lowest common multiple, lcm
Q2.
Sofia writes down the number 0.9999 Select all the numbers below that are greater than Sofia's number.
0.9999
0.9990
Correct answer: 0.99991
0.99991
0.9991
Q3.
I am rolling a six sided dice and filling in two grids. What number must replace $$a$$ so that the number in the first grid will be greater than the number in the second grid?
Correct Answer: 6, six
6, six
Q4.
I am rolling a six sided dice and filling in two grids. If $$a$$ = 5, which of the following numbers can replace $$b$$ so that the second number is greater?
2
3
4
Correct answer: 5
5
Correct answer: 6
6
Q5.
What fraction is halfway between $$\frac{3}{7}$$ and $$\frac{5}{7}$$?
Correct answer: $$\frac{4}{7}$$
$$\frac{4}{7}$$
$$\frac{8}{15}$$
Correct answer: $$\frac{52}{91}$$
$$\frac{52}{91}$$
$$\frac{62}{112}$$
Q6.
What fraction is halfway between $$\frac{2}{9}$$ and $$\frac{5}{9}$$?
$$\frac{3}{18}$$
$$\frac{4}{18}$$
$$\frac{5}{18}$$
$$\frac{6}{18}$$
Correct answer: $$\frac{7}{18}$$
$$\frac{7}{18}$$