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YEAR 3 · WHOLE NUMBERS AND ESTIMATION · 15 MIN

Estimating quantities and answers

Use nearby easy numbers to make useful estimates and check calculations.

In this lesson

Before you start
  • Place value
  • Addition and subtraction with smaller numbers
01 / LEARN

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 100 counters, suggest about 400 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 198+304, use 200+300=500. Say “about 500” 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 402−197, nearby hundreds give 400−200=200. An answer of 605 cannot fit: removing a positive amount must leave less than the starting 402.

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.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Estimate a total

Estimate 296 + 208 using nearby hundreds.

Worked solution

  1. 1

    Choose the nearby hundred for each number.

    296≈300208≈200

    Both replacements are close and easier to add.

  2. 2

    Add the easy numbers.

    300+200=500

    Adding the hundreds estimates the combined amount.

  3. 3

    Label the result as an estimate.

    296+208≈500

    The original numbers were replaced, so the total is about five hundred.

Answer

About 500.

EXAMPLE 02

Estimate from equal groups

One tray holds about 20 seedlings. Estimate how many seedlings are in 6 similar full trays.

Worked solution

  1. 1

    Use the estimate for one tray.

    seedlings per tray≈20

    The six full trays are similar, so use the same estimated amount for each.

  2. 2

    Multiply by the number of trays.

    6×20=120

    Six groups of twenty make one hundred and twenty.

  3. 3

    State the estimated total with its unit.

    total≈120 seedlings

    The count per tray was approximate, so the combined count is approximate too.

Answer

About 120 seedlings.

03 / YOUR TURN

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.

398≈400 and 205≈200, so the total should be near 600. The proposed 801 is about two hundred higher, so it is not sensible.

Keep practising

6 worksheet questions

Read the questions online
  1. Estimate 192+311 using nearby hundreds.
  2. Estimate 603−198 using nearby hundreds.
  3. A bag has about 50 beads. Estimate the number in 4 similar bags.
  4. A class needs 97 sheets of card. Is a pack of about 100 sheets likely to be close to the amount needed? Explain.
  5. Noah says 487+212=999. Show an estimate that checks this claim.
  6. Estimate 72+39 with nearby tens. State the numbers you used.
Read the worked solutions
  1. Estimate 192+311 using nearby hundreds.

    200+300=500.

    About 500.
  2. Estimate 603−198 using nearby hundreds.

    600−200=400.

    About 400.
  3. A bag has about 50 beads. Estimate the number in 4 similar bags.

    4×50=200.

    About 200 beads.
  4. A class needs 97 sheets of card. Is a pack of about 100 sheets likely to be close to the amount needed? Explain.

    100−97=3. 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.
  5. Noah says 487+212=999. Show an estimate that checks this claim.

    500+200=700.

    About 700, so 999 is not sensible.
  6. Estimate 72+39 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 70+40.
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Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum Mathematics

Numbers beyond 10,000; place value; ordering; estimating quantities and answers.

Official curriculum source ↗

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