Chapter 3 · NCERT Ganita Prakash

A Peek Beyond
the Point

What lives just past the decimal point? Tenths, then hundredths. Slide the marker along the number line and watch a number split into its exact pieces.

🔢 3 topics⏱ ~22 min📝 12-question quiz

Play with it

Walk the number line

Drag the slider. The marker moves along the line and the panel splits your number into ones, tenths and hundredths — exactly what each digit is worth.

Explore · Decimals on the number linedrag the slider

Number 3.75

Learn

The three big ideas

The decimal point splits the whole part from the parts of a whole. Each step right is ten times smaller:

First digit after the point = tenths (1/10).
Second digit = hundredths (1/100).
So 2.45 = 2 ones + 4 tenths + 5 hundredths.

To compare decimals, line up the points and compare place by place:

0.7 (7 tenths) is much bigger than 0.07 (7 hundredths).
0.5 > 0.45 — more digits does NOT mean bigger.

Common mistake: thinking the decimal with more digits is larger. Compare by place value: 0.5 beats 0.45 even though it has fewer digits.

A decimal is just another way of writing a fraction with 10, 100, … on the bottom:

0.5 = 5/10 = 1/2 · 0.25 = 25/100 = 1/4.
Money: ₹4.75 = 4 rupees and 75 paise.

Worked example. Break 2.45 into place values.

2.45 = 2 ones + 4 tenths + 5 hundredths = 2 + 4/10 + 5/100.

Where you'll meet it

Decimals run daily life

Money & shopping

Every price tag (₹4.75), every bill total and every bit of change is decimals at work — rupees before the point, paise after.

Measuring & sport

Heights (1.62 m), race times (12.08 s) and temperatures (37.5°C) all use decimals — and tiny hundredths can decide a winner.

Check yourself

Competency quiz

Modelled on the competency-based pattern — MCQ, assertion–reason and a case study, testing whether you can use the ideas, not just recall them.

Score 0/12

A Peek Beyondthe Point