Understand the idea.
An estimate is a sensible nearby answer
An estimate is a nearby amount supported by information. Four similar full jars, each holding about counters, suggest about counters altogether. Using one known group is more useful than guessing a total without a reason.
For a calculation, replace awkward numbers with nearby easy tens or hundreds. For , use . Say “about ” because the easy numbers have changed the original calculation.
Check, then decide whether exact is needed
Estimate to check the size of an answer. For , nearby hundreds give . An answer of cannot fit: removing a positive amount must leave less than the starting .
Choose the accuracy that the situation needs and explain your choices. An estimate can help with planning, but a precise bill needs exact calculation. If you must have enough materials, an estimate below the amount may leave you short.
See the method in action.
Estimate a total
Estimate 296 + 208 using nearby hundreds.
Worked solution
- 1
Choose the nearby hundred for each number.
Both replacements are close and easier to add.
- 2
Add the easy numbers.
Adding the hundreds estimates the combined amount.
- 3
Label the result as an estimate.
The original numbers were replaced, so the total is about five hundred.
About 500.
Estimate from equal groups
One tray holds about 20 seedlings. Estimate how many seedlings are in 6 similar full trays.
Worked solution
- 1
Use the estimate for one tray.
The six full trays are similar, so use the same estimated amount for each.
- 2
Multiply by the number of trays.
Six groups of twenty make one hundred and twenty.
- 3
State the estimated total with its unit.
The count per tray was approximate, so the combined count is approximate too.
About 120 seedlings.
Try it yourself.
Check your understanding
Would 801 be a sensible answer to 398 + 205? Use an estimate.
Show answer & reasoning
No. A sensible estimate is about 600.
and , so the total should be near . The proposed is about two hundred higher, so it is not sensible.
Keep practising
6 worksheet questions
Read the questions online
- Estimate using nearby hundreds.
- Estimate using nearby hundreds.
- A bag has about 50 beads. Estimate the number in 4 similar bags.
- A class needs 97 sheets of card. Is a pack of about 100 sheets likely to be close to the amount needed? Explain.
- Noah says . Show an estimate that checks this claim.
- Estimate with nearby tens. State the numbers you used.
Read the worked solutions
- Estimate using nearby hundreds.
.
About 500. - Estimate using nearby hundreds.
.
About 400. - A bag has about 50 beads. Estimate the number in 4 similar bags.
.
About 200 beads. - A class needs 97 sheets of card. Is a pack of about 100 sheets likely to be close to the amount needed? Explain.
. An estimate does not guarantee the exact supply.
Yes; 97 is only 3 below 100. Check the pack contains at least 97 before relying on it. - Noah says . Show an estimate that checks this claim.
.
About 700, so 999 is not sensible. - Estimate with nearby tens. State the numbers you used.
72 is close to 70 and 39 is close to 40; their sum is 110.
About 110, using .
Curriculum reference & lesson scope
Australian Curriculum v9 / SA Curriculum Mathematics
Numbers beyond 10,000; place value; ordering; estimating quantities and answers.
Official curriculum source ↗