Want to actually learn this — with audio, spaced repetition and progress tracking?
Study in the app →Mathematics · Year 6 · Chapter 1
One amount, three costumes
Practice
- 1/2
- 0.5 = 50%
- 1/4
- 0.25 = 25%
- 3/4
- 0.75 = 75%
- 1/10
- 0.1 = 10%
- 1/5
- 0.2 = 20%
- 0.75
- 3/4 = 75%
- 10%
- 0.1 = 1/10
- 0.5 or 0.35 — bigger?
- 0.5 — five tenths beats three-and-a-half tenths
- 50% of 18
- 9
- 20% of 50
- 10 — 1/5 of 50
Easy questions
- 1/2 as a percentage
- 50%
- 0.25 as a fraction
- 1/4
- 75% as a decimal
- 0.75
- 1/10 as a percentage
- 10%
- 0.2 as a fraction
- 1/5
Medium questions
- 0.5 or 0.35 — bigger?
- 0.5
- 3/5 as a decimal
- 0.6
- 40% as a fraction
- 2/5
- 0.07 as a percentage
- 7%
- 25% of 40
- 10
Hard questions
- 0.4, 35% or 3/8 — which is biggest?
- 0.4 — vs 0.35 and 0.375
- 15% of 60
- 9 — 10% is 6, 5% is 3
- 0.125 as a fraction
- 1/8
- 0.6 or 0.60 — bigger?
- Equal — trailing zeros change nothing
- A $80 jacket: 0.5 off or 0.35 off — how much do you pay each way?
- $40 vs $52 — the 0.5 sale wins by $12
Lesson
Half is half, whatever it wears
One half, 0.5 and 50% are the SAME amount in three costumes: fraction (1 of 2 parts), decimal (5 tenths), percentage (50 per hundred). Fluency here means swapping costumes instantly. The classic trap is comparing decimals by length: 0.35 LOOKS bigger than 0.5 because it has more digits — but digits after the point get smaller as they go. Line up place value instead: 0.5 is 0.50, and 50 hundredths beats 35 hundredths. Longer never means bigger after the decimal point. When a comparison feels hard, change costumes: 0.5 is a half, 0.35 is a bit more than a third — and half off the jacket is clearly the better sale.
- 1/2 = 0.5 = 50%. 1/4 = 0.25 = 25%. 3/4 = 0.75 = 75%.
- 0.5 vs 0.35 → write 0.50 vs 0.35 → 50 hundredths wins.
- 20% of 50: 20% is 1/5, and a fifth of 50 is 10.
- 0.6 = 0.60 — trailing zeros change nothing.
Want to actually learn this — with audio, spaced repetition and progress tracking?
Study in the app →