Year 4 · Fractions and decimals
Tenths, hundredths and decimals
Recognise and write decimal equivalents of any number of tenths or hundredths
Lesson overview
What you'll learn in this lesson
Recognise and write decimal equivalents of any number of tenths or hundredths
Key learning points
- • Tenths two ways
- • Comparing decimals
- • Hundredths
- • Money and measures
This lesson at a glance
- 20 minutes
- 19 parts to scroll through
- 4 quick checks
- No marked quiz yet
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 19
Watch first
Tenths, hundredths and decimals
See how a fraction and a decimal can be exactly the same amount.
Do it for real
The practicals below use what the film shows, with a full method you can follow at home.
In a nutshell
Recognise and write decimal equivalents of any number of tenths or hundredths
What you already know
Part 2 of 19
Before we start
What you already know
You can name and compare simple fractions and find equivalent fractions.
Key words
Part 3 of 19
Key words
Words you'll need today
- tenth
- One part when a whole is split into 10 equal parts.
- hundredth
- One part when a whole is split into 100 equal parts.
- decimal point
- The dot that separates whole numbers from parts.
Learning cycle
Part 4 of 19
Learning cycle 1 of 2
Part 1 — Tenths
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 5 of 19
Learn
Tenths two ways
Split a strip into 10 equal parts. Three parts is 3/10, and we write that as 0.3. The first column after the decimal point is the tenths column. So 7/10 = 0.7 and 10/10 = 1. Reading 0.3 as 'nought point three' is fine, but thinking 'three tenths' helps you compare them.
Explore the idea
Part 6 of 19
Learn
Comparing decimals
Compare 0.4 and 0.7 the same way you compare fractions: 7 tenths beats 4 tenths. Careful with 0.5 and 0.45 — 0.5 is 50 hundredths and 0.45 is 45 hundredths, so 0.5 is bigger even though it looks shorter.
Quick check
Part 7 of 19
Quick check
Write 6/10 as a decimal.
Quick check
Part 8 of 19
Quick check
Which is larger?
Reset break
Part 9 of 19
Pause
That's sitting 1 of 2 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 10 of 19
Learning cycle 2 of 2
Part 2 — Hundredths and money
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 11 of 19
Learn
Hundredths
The second column after the point is hundredths. So 0.25 is 2 tenths and 5 hundredths, which is 25/100, the same as a quarter. Useful ones to know by heart: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/10 = 0.1.
Explore the idea
Part 12 of 19
Learn
Money and measures
£3.45 is 3 whole pounds, 4 ten-pence coins and 5 pennies — tenths and hundredths of a pound. On a metre stick, 0.5 m is 50 cm and 0.07 m is 7 cm. Decimals are not a new topic; they are fractions written for real life.
Quick check
Part 13 of 19
Quick check
What is 1/4 as a decimal?
Quick check
Part 14 of 19
Quick check
£2.05 means...
Common mix-ups
Part 15 of 19
Common mix-ups
Things people often get wrong
- Thinking 0.45 is bigger than 0.5 because it has more digits.
- Reading 0.3 as 'nought point thirty'.
- Mixing up the tenths and hundredths columns.
Challenge round
Part 16 of 19
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 17 of 19
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
The first column after the ____ point is the tenths column.
Reading 0.3 as 'nought point three' is fine, but thinking 'three ____' helps you compare them.
Careful with 0.5 and 0.45 — 0.5 is 50 ____ and 0.45 is 45 hundredths, so 0.5 is bigger even though it looks shorter.
Mastery quiz
Part 18 of 19
No quiz for this one
This lesson has no marked quiz attached yet.
Lesson round-up
Part 19 of 19
Lesson round-up
Ready when you are
Quiz score
Not sat
Games
Not played
Points this lesson
0
Best run
0 in a row
Luna: 0 out of 4 on the practice checks. Only if you feel up to it — one more?
Ask LunaDo the work
Your written work for this lesson
This is the part you'd do in your book at school. Pick the pieces below, write here or on paper, and photograph anything you draw or work out.
The cost of a school trip
A school is planning a trip to a wildlife park. The coach costs £480 however many people go. Entry costs £9.50 for each pupil and each adult goes free. The school says every pupil must pay the same amount, and the trip must not lose money.
If 60 pupils go, the coach works out at £8 each, so the total for each pupil is £17.50. If only 40 pupils go, the coach works out at £12 each, so the price rises to £21.50. The teacher explains that the coach is a fixed cost and the entry is a cost per person — which is why the price per pupil changes when the number changes.
The school decides to charge £20 and to use anything left over for a second trip later in the year.
Written for Good Learning Co.
Reading questions
- Work out the total cost of the trip if 50 pupils go.
- Show why the price per pupil falls when more pupils go, using numbers.
- At £20 each, how many pupils must go before the trip makes money? Show your working.
Working out
Working outDo the practice questions on paper, showing every step — not just the answer. Mark them yourself and circle anything you got wrong.
10–15 questions
Worked example, explained
WritingCopy one question out and write underneath, in words, why each step works.
1 question, 4–5 sentences
Problem in words
Working outWrite your own real-life problem that uses today's method, then solve it.
1 problem + solution
Saved as you type.
Part 1 of 19 · Watch & discover