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Year 7

Between numbers

I can appreciate that, for any two numbers, there is always another number in between them.

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New

Year 7

Between numbers

I can appreciate that, for any two numbers, there is always another number in between them.

Download all resources

Share activities with pupils

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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.

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.

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.

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).

Lesson video

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Worksheet

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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

Q2.

Order the values from smallest to largest.

1 - $$(-0.241)$$

2 - $$(-0.24)$$

3 - $$(-0.239)$$

4 - $$(-0.237)$$

5 - $$(-0.024)$$

Q3.

Order the values from smallest to largest.

1 - $$(-72.1)$$

2 - $$(-72.01)$$

3 - $$(-70.2)$$

4 - $$70.2$$

5 - $$72.01$$

6 - $$72.1$$

Q4.

Order these fractions from smallest to largest.

1 - $$\left(-17\frac{1}{4}\right)$$

2 - $$\left(-16\frac{3}{4}\right)$$

3 - $$\left(-16\frac{1}{2}\right)$$

4 - $$16\frac{1}{5}$$

5 - $$16\frac{1}{4}$$

6 - $$16\frac{1}{2}$$

Q5.

Order these fractions from smallest to largest.

1 - $$\left(-\frac{3}{8}\right)$$

2 - $$\left(-\frac{7}{24}\right)$$

3 - $$\left(-\frac{12}{48}\right)$$

4 - $$\left(-\frac{3}{16}\right)$$

Q6.

Order these values from smallest to largest.

1 - $$\left(-\frac{13}{16}\right)$$

2 - $$\left(-\frac{5}{8}\right)$$

3 - $$0.25$$

4 - $$0.375$$

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

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

0.9991

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

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?

Correct answer: 5

Correct answer: 6

Q5.

What fraction is halfway between $$\frac{3}{7}$$ and $$\frac{5}{7}$$?

Correct answer: $$\frac{4}{7}$$

$$\frac{8}{15}$$

Correct answer: $$\frac{52}{91}$$

$$\frac{62}{112}$$

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: $$\frac{7}{18}$$