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Lesson 5 of 11
  • Year 7

Place value in decimals

I can state place value in decimals, including recognising exponent and fractional representations of the column headings.

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View unit
Lesson 5 of 11
New
New
  • Year 7

Place value in decimals

I can state place value in decimals, including recognising exponent and fractional representations of the column headings.

Download all

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Lesson details

Key learning points

  1. The column headings for decimals can be expressed in different ways.
  2. A decimal can be represented by using exponentials in the column headings.
  3. A decimal can be represented by using fractions in the column headings.
  4. You can state place value in decimals with column headings expressed in different ways.

Keywords

  • Decimal form - A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.

Common misconception

Students can incorrectly insert a digit in the wrong place value column.

Printing or white board drawings of a place value chart will support student understanding of the different column headings and place value.


To help you plan your year 7 maths lesson on: Place value in decimals, download all teaching resources for free and adapt to suit your pupils' needs...

Pupils may benefit from having physical resources to manipulate, e.g. Gattegno chart and Dienes blocks.
Teacher tip

Licence

This content is © Oak National Academy Limited (2025), 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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Prior knowledge starter quiz

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6 Questions

Q1.
Which of the following is written in exponent form?

Correct answer: $$10^3$$
1000
$$1\over1000$$
$$^310 $$
0.001

Q2.
Which of these is a column heading from our place value chart?

$$1\over100.01$$
0.013
Correct answer: $$1\over 10^2$$
$$1\over 10^{1.5}$$

Q3.
Match the number with its exponent form

Correct Answer:$$10^2$$,100

100

Correct Answer:$$10^3$$,1000

1000

Correct Answer:$$10^1$$,10

10

Correct Answer:$$1\over10$$,0.1

0.1

Q4.
Put in order of size, starting with the smallest.

1 - 0.001
2 - 0.01
3 - 0.1
4 - 1
5 - 10
6 - 100

Q5.
Put in order of size, starting with the smallest

1 - $$1\over 10^4$$
2 - $$1\over 10^2$$
3 - $$1\over 10$$
4 - $$10$$
5 - $$10^2$$
6 - $$10^4$$

Q6.
Which of the following is the number $$4\times10^4 + 8\times10^2 + 3$$

4803
40 830
Correct answer: 40 803
48 300
48 003

Assessment exit quiz

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6 Questions

Q1.
A number is in ___________ when the decimal point is shown and there are digits to the right of the decimal point.

Correct answer: decimal form
exponent form
fractional form
integer form
usual form

Q2.
Which decimal has 5 tenths?

24.895
15.759
Correct answer: 8.567
144.2
505.0505

Q3.
Match the statement with the correct form

Correct Answer:In fractional form,$$ {7}\over 1000$$

$$ {7}\over 1000$$

Correct Answer:In decimal form,0.007

0.007

Correct Answer:In exponent form,$$ 7\over 10^3 $$

$$ 7\over 10^3 $$

Correct Answer:In words,seven thousandths

seven thousandths

Q4.
Which place value chart has an 8 in the $$1\over{10^2}$$ column?

An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz

Q5.
Write in decimal form $${5\times10^3 + 8\times10^2 + 4\times10}+ 3\times{{1}\over{10}} $$

Correct answer: 5840.3
584.3
5804.3
58.403
5480.3

Q6.
Write in decimal form $${7\times 10^2+8\times10+0.3}+{6\over10}+{9\over10^2}$$

780.39
780.369
Correct answer: 780.99
783.69
7800.369