New
New
Year 7

Securing understanding of place value in integers

I can state the value of any digit in a given integer.

New
New
Year 7

Securing understanding of place value in integers

I can state the value of any digit in a given integer.

Lesson details

Key learning points

  1. It is difficult to know what a digit represents if you do not know its place value.
  2. An integer can be written as the sum of the place value of its digits.
  3. Rearranging the digits in an integer can alter its overall value.

Common misconception

Pupils may think the digit card 0 has to have significant place value.

If the question doesn't specify the number of digits, leading zeros can be used (and not written) to create integers with fewer digits.

Keywords

  • Digit - A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

  • Integer - An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers.

You may wish to print the relevant digit cards for pupils to manipulate. Laminate for future use. Whilst leading zeros can be used to make a smaller integer, these are not written as part of the integer and do not contribute to the number of digits.
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).

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6 Questions

Q1.
How many different digits are there in our number system?
Correct Answer: 10, ten
Q2.
What is the missing value in this partitioning model?
An image in a quiz
Correct Answer: 90
Q3.
What is the value of the digit 5 in the number 25 381
5
50
500
Correct answer: 5000
50 000
Q4.
Which of these are integers?
0.5
Correct answer: 2429
Correct answer: 0
$$1\over4$$
Correct answer: -7
Q5.
Starting with the smallest, sort these integers into ascending order.
1 - 133
2 - 301
3 - 310
4 - 311
5 - 313
6 - 331
Q6.
Match the integer to the multiple of 1000 it is closest to.
Correct Answer:15 621,16 000

16 000

Correct Answer:15 394,15 000

15 000

Correct Answer:13 501,14 000

14 000

Correct Answer:13 099,13 000

13 000

6 Questions

Q1.
Using the digit cards, make the largest 6-digit integer possible
An image in a quiz
Correct Answer: 887 430, 887430
Q2.
Which of these integers are written with correct spacing?
2 423
Correct answer: 5006
34000
7 0000
Correct answer: 6 320 041
Q3.
Starting with the smallest, sort these integers into ascending order.
1 - 8099
2 - 8909
3 - 9089
4 - 9098
5 - 9908
6 - 9980
Q4.
Match the integers with the calculations
Correct Answer:2032,$$3\times 10 + 2\times1+2\times1000$$

$$3\times 10 + 2\times1+2\times1000$$

Correct Answer:2230,$$30+200+2000$$

$$30+200+2000$$

Correct Answer:2302,$$2\times 1000 + 3\times 100 +2$$

$$2\times 1000 + 3\times 100 +2$$

Correct Answer:2320,$$2000+20+300$$

$$2000+20+300$$

Correct Answer:3022,$$2\times10 +2\times1 +3\times 1000$$

$$2\times10 +2\times1 +3\times 1000$$

Q5.
How many unique integers can be made from these digits?
An image in a quiz
Correct Answer: 12, twelve
Q6.
Which statements are true for the integer 3830?
Correct answer: The value of the integer stays the same if the 1000s and 10s digits are swapped
The smallest 4-digit integer can be made by swapping the 10s and 100s digits
Correct answer: The value of the integer decreases if the 10s and 1s digits are swapped
The value of the integer stays the same if the first and last digits are swapped