Ordering integers, decimals and fractions
A number line turns 'which is bigger?' into 'which is further right?' — and it works just as well below zero.
Part of your national curriculum
- Number: Order positive and negative integers, decimals and fractions; use the number line as a model
Lesson overview
What you'll learn in this lesson
Order positive and negative integers, decimals and fractions; use the number line as a model
Key learning points
- • Negative numbers
- • Worked example
- • Comparing fractions
This lesson at a glance
- 22 minutes
- 16 parts to scroll through
- 3 quick checks
- Marked quiz at the end
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 16
Visual introductionPicture this
Ordering integers, decimals and fractions
A number line turns 'which is bigger?' into 'which is further right?' — and it works just as well below zero.
In a nutshell
Order positive and negative integers, decimals and fractions; use the number line as a model
Learning cycle
Part 2 of 16
Learning cycle 1 of 2
Part 1 · Negative numbers
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 16
Learn
Negative numbers
On a number line, numbers get smaller as you move left. So -5 is smaller than -2, because -5 is further left. Always compare the position, not just the digit.
Reset break
Part 4 of 16
Pause
That's sitting 1 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Explore the idea
Part 5 of 16
Learn
Worked example
Order -3, 0.5, -1.2, 2 from smallest to largest. Placing them on a line: -3 is furthest left, then -1.2, then 0.5, then 2. Answer: -3, -1.2, 0.5, 2.
Quick check
Part 6 of 16
Quick check
Part 7 of 16
Reset break
Part 8 of 16
Pause
That's sitting 2 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Learning cycle
Part 9 of 16
Learning cycle 2 of 2
Part 2 · Comparing fractions
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 10 of 16
Learn
Comparing fractions
To compare 3/4 and 2/3, convert to a common denominator of 12: 3/4 = 9/12 and 2/3 = 8/12. Since 9/12 > 8/12, 3/4 is larger.
Quick check
Part 11 of 16
Reset break
Part 12 of 16
Pause
That's sitting 3 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Challenge round
Part 13 of 16
Game · Sort it
Which of these are true?
Drag each card into the right column. Tap a card first if dragging is fiddly.
True
Not true
Challenge round
Part 14 of 16
Game · Recall cards
Which is smaller, -7 or -2?
Card 1 of 3
Mastery quiz
Part 15 of 16
Marked quiz
End of lesson quiz: Ordering integers, decimals and fractions
3 questions, marked with the reasoning shown. No timer.
1. Which is smaller, -7 or -2?
2. Put in order smallest to largest: -3, -1.2, 0.5, 2
3. Which fraction is larger, 3/4 or 2/3?
Lesson round-up
Part 16 of 16
Lesson round-up
Ready when you are
Quiz score
Not sat
Games
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Points this lesson
0
Best run
0 in a row
Luna: 0 out of 3 on the practice checks. Only if you feel up to it — one more?
Ask LunaPart 1 of 16 · Watch & discover
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Order positive and negative integers, decimals and fractions; use the number line as a model