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GRADE 2 · Mathematics · LEARNING COMPANION

Decoration for Festival

Three guided lessons with explanations, visual steps, practice and a final check. An adult can read instructions aloud and help record the reflection.

Original chapter companion covering two-digit addition and subtraction using place value and regrouping. It does not reproduce or solve every textbook exercise. An adult should read prompts aloud and support handling small objects safely.

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LESSON 1

Add tens and ones

Add two two-digit numbers without regrouping.

A ten is ten ones. Align tens with tens and ones with ones.

  1. Split each number

    24 is 20 + 4. 13 is 10 + 3.

  2. Add the tens

    20 + 10 = 30.

  3. Add the ones

    4 + 3 = 7.

  4. Join the parts

    30 + 7 = 37, so 24 + 13 = 37.

Worked example: 32 + 25 = (30 + 20) + (2 + 5) = 50 + 7 = 57. Check: adding 25 must make 32 larger.

Watch for this: Do not add a tens digit to a ones digit. They name different-sized groups.

Discuss: Make an addition story about 21 red paper flags and 16 blue flags. Find the total.

LESSON 2

Regroup ten ones

Exchange ten ones for one ten when adding.

Ten loose ones can be grouped as one ten without changing the total.

  1. Add the parts

    For 27 + 15, add 20 + 10 = 30 and 7 + 5 = 12.

  2. Find ten in the ones

    Twelve ones can be separated into ten ones and two ones.

  3. Make a new ten

    Exchange ten ones for one ten. Now there are 4 tens and 2 ones.

  4. Write and check

    40 + 2 = 42. Check by making ten: 27 + 3 + 12 = 42.

Worked example: 36 + 18: 30 + 10 = 40; 6 + 8 = 14. Exchange ten of those ones. We have 50 + 4 = 54.

Watch for this: Regrouping does not create extra objects. Ten ones and one ten are the same amount.

Discuss: Explain with a drawing why 28 + 14 gives 42, not 312.

LESSON 3

Exchange a ten to subtract

Subtract a two-digit number and check by addition.

Subtraction finds what remains or the difference. Exchange a ten when there are too few loose ones.

  1. Look at the ones

    For 42 - 17, two loose ones are not enough to remove seven.

  2. Exchange one ten

    42 is 4 tens and 2 ones. Exchange one ten to make 3 tens and 12 ones.

  3. Subtract each part

    12 ones - 7 ones = 5 ones. 3 tens - 1 ten = 2 tens.

  4. Check the result

    The answer is 25. Check: 25 + 17 = 42.

Worked example: 53 - 26: exchange one ten to show 4 tens and 13 ones. 13 - 6 = 7 and 4 tens - 2 tens = 2 tens. Answer 27. Check 27 + 26 = 53.

Watch for this: You cannot swap the subtraction just to make it easy: 2 - 7 is not 7 - 2. Regroup the whole number instead.

Discuss: A group makes 61 paper flowers and uses 24. Show how to find and check how many remain.

Continue on paper

Sources and coverage

Original chapter companion covering two-digit addition and subtraction using place value and regrouping. It does not reproduce or solve every textbook exercise. An adult should read prompts aloud and support handling small objects safely.

Original HelioLearn teaching and questions. Source-aligned companion; not an official NCERT/CBSE publication or full textbook solution bank. Independent teacher review and narrated video are pending.