New
New
Year 7

Checking understanding of ordering and comparing numbers

I can order and compare numbers and measures using <, >, =

New
New
Year 7

Checking understanding of ordering and comparing numbers

I can order and compare numbers and measures using <, >, =

Lesson details

Key learning points

  1. The symbol < means: less than.
  2. The symbol > means: greater than.
  3. The symbol ≤ means: less than or equal to.
  4. The symbol ≥ means: greater than or equal to.

Common misconception

A "longer" (with more digits) number must be greater.

35.67208 < 36

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.

Future proof by avoiding talking about bigger numbers, when negatives come into the subject a number can be BIG and negative therefore of lower value. Mini whiteboards for checks or have cards of the inequality symbols for pupils to use.
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.
Which of these numbers has the greatest value?
4
2
Correct answer: 7
0
1
Q2.
Starting with the least value, sort the numbers into ascending order.
1 - 0.5
2 - 1
3 - 4.56
4 - 5.4
5 - 8
6 - 12.2
7 - 100
Q3.
Write the number seven million four hundred and nine thousand and twelve in digit form.
Correct Answer: 7 409 012
Q4.
Which number is greatest: 1.7 million or 1 982 000?
Correct Answer: 1 982 000
Q5.
Which of the following numbers are integers?
Correct answer: 1.4 thousand
3.651
Correct answer: 5039
Correct answer: 0
half
Q6.
Which example demonstrates that a number with greater value doesn't always have more digits?
320 is greater than 312
320 is greater than 30
Correct answer: 320 is greater than 291.548

6 Questions

Q1.
The symbol > means:
less than
Correct answer: greater than
less than or equal to
greater than or equal to
equal to
Q2.
Which of the following numbers can complete this comparison statement? $$ ? \leq 3.07$$
Correct answer: 2.67
Correct answer: 3.02
Correct answer: 3.07
3.106
5
Q3.
Which of the following comparison statements are correct?
Correct answer: 4.506 < 5.406
32.5 hundredths > 3197 thousandths
Correct answer: 184.3598 > 183.9835
Correct answer: 0.824098 < 0.824243809
Q4.
Which statement describes a speed limit of 20 miles per hour?
speed < 20 mph
speed > 20 mph
Correct answer: speed $$\leq$$ 20 mph
speed $$\geq$$ 20 mph
speed = 20 mph
Q5.
A house is being sold and the details say "offers over £187 500". Which of the following statements represents this relationship?
offers < £187 500
Correct answer: offers > £187 500
offers $$\leq$$ £187 500
offers $$\geq$$ £187 500
offers = £187 500
Q6.
A house is being sold and the details say "offers over £187 500". Which of the following offers would meet this criteria?
£187 000
Correct answer: £200 000.10
Twenty three thousand pounds
£187 500
Correct answer: £187 500.50