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NCERT Solutions Ganita Prakash (Part 1) Chapter 3 –55Section 3.3 A Hundredth Part — In-text Questions

Book page 54 Updated on2026-09-05

Q1.
Observe the figure below. Notice the markings and the corresponding lengths written in the boxes when measured from 0. Fill the lengths in the empty boxes.
Answer

Every big mark on this scale is one-tenth and every small mark is one-hundredth. The boxes below the line name the same marking in hundredths.

Marking (in tenths)Same marking (in hundredths)
0 + 1 small mark1⁄100 (given)
2⁄1020⁄100 (given)
halfway between 5⁄10 and 6⁄1055⁄100
1 small mark before 199⁄100 (given)
1 3⁄10130⁄100 (given)
1 5⁄10 + 5 small marks155⁄100
1 7⁄10 + 4 small marks174⁄100
2 + 2 small marks202⁄100
2 4⁄10240⁄100
The five empty boxes, in order, are
55⁄100 , 155⁄100 , 174⁄100 , 202⁄100 , 240⁄100
Why it happens: a whole unit is 100 small marks, so counting small marks from 0 gives the numerator straight away. For example 2 units and 2 small marks = 200 + 2 = 202 hundredths.
Q2.
The length of the wire in the first picture is given in three different ways. Can you see how they denote the same length? 1 1/10 4/100 — One and one-tenth and four-hundredths; 1 14/100 — One and fourteen-hundredths; 114/100 — One Hundred and Fourteen-hundredths
Answer

Yes. All three are 114 one-hundredths, only grouped differently.

1 1⁄10 4⁄100 = 1 + 10⁄100 + 4⁄100 = 1 + 14⁄100 = 1 14⁄100
1 14⁄100 = 100⁄100 + 14⁄100 = 114⁄100
All three = 1.14
Why it happens: 1 unit = 100 hundredths and 1 tenth = 10 hundredths. So we can keep exchanging bigger pieces for hundredths without changing the length — just as ₹1 and 14 paise, 114 paise, and ₹1.14 are the same money.
Tip: the third reading is the safest to check with: count the small marks from 0 and you will count 114.
Q3.
For the lengths shown below write the measurements and read out the measures in words.
Answer

On each ruler, the numbered marks are tenths and the tiny marks between them are hundredths. Read where the red line falls.

RulerMeasurementDecimalIn words
First (marks 4 9⁄10 to 6 1⁄10)5 37⁄1005.37Five and thirty-seven hundredths
Second (marks 14 4⁄10 to 15 6⁄10)15 3⁄10015.03Fifteen and three hundredths
Third (marks 6 7⁄10 to 7 9⁄10)7 52⁄1007.52Seven and fifty-two hundredths
Fourth (marks 4 9⁄10 to 10 1⁄10)9 80⁄1009.80Nine and eighty hundredths
Why it happens: in the first ruler the red line is 7 small marks past 5 3⁄10, so the reading is 5 + 30 hundredths + 7 hundredths = 5 37⁄100. In the fourth ruler the line lands exactly on the 9 8⁄10 mark, and 8 tenths = 80 hundredths.
Tip: 9 80⁄100 and 9 8⁄10 are the same length — the extra zero at the end changes nothing.
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