New
New
Year 7
Checking understanding of place value in integers
I can use my understanding of place value to create numbers that meet certain conditions.
New
New
Year 7
Checking understanding of place value in integers
I can use my understanding of place value to create numbers that meet certain conditions.
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Lesson details
Key learning points
- The place value of a digit affects the overall value of an integer.
- Integers with the same digits have different values depending on the place value of those digits.
- An integer can be partitioned using place value .
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.
Common misconception
When making a 3-digit integer pupils use 0 as the first digit. However 057 is not a 3-digit integer.
Leading zeros are not written. They are not needed to preserve the place value of other digits. 057 is still a 2-digit integer.
When questions have restrictions on the type of integer pupils can make with digit cards, e.g. even or odd, highlight that this is a problem solving skill. They need to think about where the digits can be placed and deal with restrictions first.
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).Lesson video
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Starter quiz
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6 Questions
Q1.
In words the number 1 000 000 is written as one __________.
Q2.
Which of these is the number three thousand and thirty three?
300 033
333
3303
Q3.
The number 50 550 can be written in words as
five thousand, five hundred and fifty
fifty five thousand, five hundred and fifty
fifty thousand, five hundred and five
Q4.
Which number completes the part-whole model?
Q5.
Which of these is how you write thirty million?
3 000 000
300 000
300 000 000
Q6.
Starting with the smallest, sort these whole numbers in order of size.
Exit quiz
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6 Questions
Q1.
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the __________ we use in our number system.
Q2.
This integer has been partitioned using place value. Which of these completes the model correctly?
7
0
70
Q3.
What is the value of the 3 in the integer 430 504?
3
30
3000
Q4.
Which of these integers has a 5 in the hundred millions place?
5 231 123
25 312 123
32 512 321
Q5.
Starting with the smallest arrange these integers in ascending order.
Q6.
Using the digits 5, 3, 8, 0 and 6 only once each, which is the smallest 5-digit odd integer you can make?
30568
03568
Additional material
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