Interpret a 0.4% coupon
- 0.4% = 0.004.
- On a $250 item, 0.004 × 250 = $1.
- Check: 1% would be $2.50, so 0.4% should be less.
Percents below 1% & above 100%
Zoom in on a small share, or extend beyond one whole.
A fraction of one percent
One percent is one hundredth of the whole. Half of that is 0.5% = 0.005 of the whole. On a hundred grid, one small square is 1%; half of one square is 0.5%. A tiny percentage can still be a substantial amount if the whole is large.
See the whole and its parts.
Predict first. Change one value, then explain what stays the same and what changes. All bars use the same scale within a model.
More than one whole
100% is one whole, 150% is one and a half wholes, and 225% is two and a quarter wholes. Use equal-sized grids, each representing the same whole. On a number line, percent labels can extend past 100%; they do not have to stop there.
Read mixed-number percentages carefully
12 1/2% means 12.5 per hundred, which is 0.125, not 12.5. Likewise 20 3/4% = 20.75% = 0.2075. Change the mixed number to a decimal or improper fraction before dividing by 100. Keep exact fractions when the decimal repeats.
Worked examples
Represent 175%
- 175/100 = 7/4 = 1 3/4.
- Shade one entire grid and three quarters of a second equal grid.
- As a decimal, the amount is 1.75.
Guided Practice
A price is 250% of $12. What is the new price?
A first hint
250% is 2.5 wholes.
Compare your reasoning
2.5 × 12 = $30. This is 150% greater than $12, not a 250% increase.
Practice
Fresh questions · useful feedback
Build fluency, one decision at a time.
Work through eight questions. Two independent correct answers introduce a harder version; supported answers bring the next question back to the foundation. You can use hints at any time.
0 of 8 questions completed
This round saves on this device. It is practice, not a school mark.
Connections
Explain why 0.25% of 400 and 25% of 4 are equal. Use fractions or a labelled diagram.
Use it in Extreme Couponing
Record the whole, the percent multiplier and the result with units. For each coupon, use the eligible amount at that step. State whether a resale percentage means percent of cost or markup on cost.