NCERT Ganita Prakash, Class 7, textbook pages 79–133 (Part 1)

How to teach Class 7 Maths Chapter 3, A Peek Beyond the Point, at home

Decimals: tenths, hundredths and comparing, taught with things you already have at home: a 20-minute activity, a game for the week, a 5-day plan and the mistakes to watch for.

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NCERT Class 7 Maths Chapter 3 A Peek Beyond the Point: what it teaches

Measuring a toy part smaller than a centimetre needs units smaller than one: tenths and hundredths. Your child writes decimals, places them on a number line, compares and orders them, adds and subtracts decimals, and converts units like 1.25 m = 125 cm.

Why it matters later. Decimals are used in money, measurement and science; Class 7 Part 2 continues with multiplying and dividing decimals.

See it: this chapter in pictures

7 mm = 0.7 cm
Each mm is a tenth of a centimetre.
0.6 vs 0.450.60 vs 0.4560 hundredths > 45 hundredths
Add a zero to compare fairly.
2.75+ 1.40= 4.15
Line up the decimal points.

You need

  • a ruler with mm marks
  • a measuring tape
  • price tags or bills with paise

Tonight’s 20 minutes

  1. Measure a pencil in cm and mm; write it as a decimal: 12.7 cm.
  2. Mark 0.3, 0.35 and 0.5 on a number line from 0 to 1.
  3. Compare 0.6 and 0.45. Which is bigger? Why?
  4. Add 2.75 + 1.4 by lining up decimal points.

Words to use

  • decimal point
  • tenths
  • hundredths
  • place value
  • compare
  • convert

Watch for

  • Thinking 0.45 > 0.6 because 45 > 6. Write 0.6 as 0.60: 60 hundredths beats 45.
  • Misaligned decimal points when adding. Line up the points; fill gaps with zeros.

What it sounds like at home

A short example of the conversation. Your words will differ; the questions are what matter.

YouWhich is bigger, 0.6 or 0.45?

Your child0.45… no, 0.60 is bigger!

A game for this week: Decimal line-up

  1. Write 8 decimal cards (0.5, 0.05, 0.55, 1.2…).
  2. Shuffle and deal.
  3. Players place cards in order on a number line.
  4. Fastest correct order wins.

A 5-day plan, 20 minutes a day

  1. Day 1Measure in cm and mm.
  2. Day 2Decimals on the number line.
  3. Day 3Compare and order decimals.
  4. Day 4Add and subtract decimals.
  5. Day 5Decimal line-up game.

Everyday moments to practise

  • Prices like ₹45.50.
  • Heights in metres.
  • Cricket run rates.
  • Fuel in litres.

Quick check

Ask these at the end of the week. Tap to see the answer.

Which is bigger: 0.6 or 0.45?

0.6.

1.25 m in cm?

125 cm.

2.75 + 1.4?

4.15.

Ready for the next chapter when your child…

  • Reads and writes tenths and hundredths.
  • Compares and orders decimals.
  • Adds and subtracts decimals.

Activities, wording and illustrations are Mathify Kids’ own, following the topics of NCERT’s Ganita Prakash (Class 7). See the full Class 7 parent guide for every chapter.

Questions parents ask

Why is 0.6 bigger than 0.45?

0.6 is 60 hundredths, more than 45 hundredths.

How do I add decimals?

Line up the decimal points and add as usual.

How are decimals linked to units?

1 cm = 0.01 m, so 125 cm = 1.25 m.