Skip to content
Oak National Academy
Oak National Academy
Teachers
Pupils
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 resources
Share activities with pupils
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 resources
Share activities with pupils

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.

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.

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.

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

Skip video

Loading...

Starter quiz

Download starter quiz

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

Exit quiz

Download exit quiz

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