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New
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Year 7

Exponential and fractional column headings

I can express place value column headings using both exponential and fractional representations.

icon-background-square
New
New
Year 7

Exponential and fractional column headings

I can express place value column headings using both exponential and fractional representations.

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Lesson details

Key learning points

  1. The column headings for integer values can be expressed in different ways.
  2. The column headings for integer values can be expressed in exponential form.
  3. The column headings for non-integer values can be represented with fractions.

Keywords

  • Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.

  • Fractional form - A number is in fractional form when it is displayed as one integer divided by another integer.

Common misconception

10^3 means 10 x 3

10 x 3 = 30. 10^3 = 10 x 10 x 10 = 1000.


To help you plan your year 7 maths lesson on: Exponential and fractional column headings, download all teaching resources for free and adapt to suit your pupils' needs...

By having ready to fill place value charts with headings expressed in different forms it will save pupils repeatedly copying the tables out. It will also provide potential scaffolding where needed.
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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

6 Questions

Q1.
__________ are all of the positive and negative whole numbers, and zero.
Correct Answer: Integers
Q2.
Which of these is not a number?
8
0.8
Correct answer: ÷
38
-83
Q3.
Which of these numbers are integers?
Correct answer: 8
0.8
38
Correct answer: -83
Q4.
What is the value of the digit 3 in the number 8352?
3
8300
350
Correct answer: 300
Q5.
Starting with the smallest, put these numbers in order of size.
1 - 83
2 - 308
3 - 380
4 - 803
5 - 3800
6 - 8003
Q6.
Match the numbers with the correct expression for the value of their digit 3
Correct Answer:8 300 000,3 x 100 000
tick

3 x 100 000

Correct Answer:3 000 000,3 x 1 000 000
tick

3 x 1 000 000

Correct Answer:8 003 000,3 x 1000
tick

3 x 1000

Correct Answer:8 003,3 x 1
tick

3 x 1

Correct Answer:38 000,3 x 10 000
tick

3 x 10 000

6 Questions

Q1.
1, 10, 100, 1000, 10 000, 100 000, and 1 000 000 are all __________ of 10
Correct Answer: powers
Q2.
Which of these represent the thousands column heading in exponential form?
1000
10×10×10
10×3
Correct answer: 103
310
Q3.
Match the powers of ten from our place value chart to their correct exponential form.
Correct Answer:1,100
tick

100

Correct Answer:10,101
tick

101

Correct Answer:100,102
tick

102

Correct Answer:1000,103
tick

103

Correct Answer:1 000 000,106
tick

106

Correct Answer:1 000 000 000,109
tick

109

Q4.
What is this number? 7×105+2×104+9×103
729
702090
Correct answer: 729000
752493
729×10
Q5.
In the number 0.78952 the 5 is in which place value column? Give your answer in fractional form.
Correct answer: 110 000
11000
0.0001
0.0005
Q6.
Write this number in decimal form. 3×110+5×11000+9×110 000
0.359
0.3590
95030
0.3509
Correct answer: 0.3059
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