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CBSE Class 3 · Mathematics

Give and Take

Official NCERT chapter from Maths Mela (book code cemm1). ExamMaster notes are original teaching at CBSE Class 3 depth.

This lesson follows the official chapter “Give and Take” in Maths Mela. The words below are ExamMaster’s teaching, not a paste from the book. Use the NCERT chapter for the classroom sequence; use these notes to hold the idea without copying exercises or figures.

  • CBSE Class 3
  • Easy level
  • 8 concepts

1334 + 2 is a ones-house join

334 + 2 adds in the ones house: 4 + 2 = 6, so 336. Hundreds and tens wait.

Do not add 2 into the hundreds house.

Figure. 334 + 2 joins in the ones house: 4 + 2 = 6. Hundreds and tens are copied, so the sum is 336.

How it works

  1. Line up ones4 under the 2’s ones.
  2. Add that house4 + 2 = 6.
  3. Copy hundreds and tens336.

2Add or subtract a small number from a three-digit start

A small change usually hits ones first. 518 − 6 is a ones-house take-away if ones are enough.

The small number is still lined up under ones, not waved at the whole numeral.

Figure. 518 − 6 takes from ones because 8 is enough: 8 − 6 = 2. Hundreds and tens stay, so the difference is 512.

How it works

  1. Write the three-digit startHouses in place.
  2. Park the small number under onesUnless it has tens.
  3. Compute that house firstThen move left if you must regroup.

3Regroup when ones cross ten

347 + 8: ones 7 + 8 = 15. Write 5 ones, carry 1 ten.

Leaving 15 in the ones house is an unfinished trade.

Figure. 347 + 8: ones 7 + 8 = 15. Write 5 ones and carry 1 ten. Tens become 4 + 1 = 5, so the sum is 355.

How it works

  1. Add onesSee 10 or more.
  2. Trade 10 ones → 1 tenCarry.
  3. Write leftover ones0 to 9.

Ones cross ten

Compute 347 + 8.

  • Ones7 + 8 = 15
  • Write ones, carry5 ones, 1 ten
  • Tens4 + 1 = 5
  • Result355

Pro tip. Regroup ten ones as one ten. Houses stay lined up.

4Borrow when ones are not enough

352 − 8: ones 2 is not enough. Borrow 1 ten (10 ones), then 12 − 8 = 4.

Borrowing is a trade, not a new story.

Figure. 352 − 8: ones 2 is too small. Borrow 1 ten so tens drop to 4 and ones become 12, then 12 − 8 = 4. The difference is 344.

How it works

  1. See ones too small2 < 8.
  2. Borrow 1 tenTens drop by 1; ones become 12.
  3. Subtract ones12 − 8 = 4.

5The same number sentence can be a give or a take story

352 − 8 can be “gave 8 stickers” or “8 walked away”. The sentence is the same; only the picture changes.

Do not change plus into minus because the picture is friendlier.

Figure. 352 − 8 can be “gave 8 stickers” or “8 walked away”. The number sentence is the same; only the story costume changes.

How it works

  1. Write the sentenceStart − small = remain.
  2. Attach either storyGive, or take.
  3. Compute onceThe story is a costume.

6Check by the opposite action

355 should satisfy 347 + 8. After a subtraction, add back.

A check that starts a new problem is not a check.

Figure. 355 must satisfy 347 + 8. After a take-away, add the same small number back; you should land on the start.

How it works

  1. Keep the resultThe answer you got.
  2. Do the opposite+ after −, or − after +.
  3. Demand the startOr redo.

7Estimate first by hundreds

347 + 8 is still near 350. 352 − 8 is near 350. Hundreds give the neighbourhood.

The estimate does not replace the ones-house work.

Figure. 347 + 8 and 352 − 8 both sit near 350. Hundreds name the neighbourhood; ones still have to be computed exactly.

How it works

  1. Look at hundredsNear 300 or 400?
  2. Adjust by the small numberA neighbour.
  3. Then compute exactlyOnes may regroup.

8Keep the houses lined up

Ones under ones. A 2 that slides under tens becomes +20, not +2.

Line-up is part of the operation, not decoration.

Figure. Ones must sit under ones. A 2 parked under tens is +20, not +2, and 334 + 2 becomes the wrong sum.

How it works

  1. Write the large numberHouses fixed.
  2. Park the small number under the matching houseUsually ones.
  3. Add or subtract down the columnsCarry or borrow as needed.
347 + 8 requires a carry because
  1. Ones make 15, which is more than 9
  2. Hundreds changed
  3. The story is a festival

Ten ones trade for one ten.

Notes

  • The official chapter title is “Give and Take”. Teach the school test for that title, not a contest shortcut.
  • If a step needs a later class, stop. The next official chapter will pick it up.

Formulas

  • Ones first, then tens, then hundreds.
  • If ones \ge 10, write ones - 10 and carry 1 ten.
  • If ones are too small to subtract, borrow 1 ten = 10 ones.

Recap

Hold these pegs from the official chapter “Give and Take”. The wording is ExamMaster’s teaching, not a textbook recap.

334 + 2 is a ones-house join
334 + 2 adds in the ones house: 4 + 2 = 6, so 336.
Add or subtract a small number from a three-digit start
A small change usually hits ones first. 518 − 6 is a ones-house take-away if ones are enough.
Regroup when ones cross ten
347 + 8: ones 7 + 8 = 15. Write 5 ones, carry 1 ten.
Borrow when ones are not enough
352 − 8: ones 2 is not enough. Borrow 1 ten (10 ones), then 12 − 8 = 4.
The same number sentence can be a give or a take story
352 − 8 can be “gave 8 stickers” or “8 walked away”.
Check by the opposite action
355 should satisfy 347 + 8. After a subtraction, add back.

Practise Give and Take

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