NCERT Solutions for Class 7th Maths Chapter 3 In-text Questions — A Hundredth Part
Book page 54–55 Updated on2026-09-19
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.
Page 54 — every long mark is one-tenth and every short mark is one-hundredth. Four lengths are already written below the line; the five empty boxes are the ones to fill.
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 mark
1⁄100 (given)
2⁄10
20⁄100 (given)
halfway between 5⁄10 and 6⁄10
55⁄100
1 small mark before 1
99⁄100 (given)
1 3⁄10
130⁄100 (given)
1 5⁄10 + 5 small marks
155⁄100
1 7⁄10 + 4 small marks
174⁄100
2 + 2 small marks
202⁄100
2 4⁄10
240⁄100
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
Page 54 — the wire laid along a scale whose unit is cut into tenths and each tenth into hundredths. Redrawn sketch.
Answer
Yes. All three are 114 one-hundredths, only grouped differently.
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.
Pages 54–55 — four wires, each laid along a scale marked in tenths with hundredth marks between. The red stroke on each ruler marks the far end of that wire. Redrawn sketch. Note: in the printed book the first mark of the fourth ruler reads ‘4 ⁹⁄₁₀’; from the scale it must be ‘8 ⁹⁄₁₀’.
Answer
On each ruler, the numbered marks are tenths and the tiny marks between them are hundredths. Read where the red line falls.
Ruler
Measurement
Decimal
In words
First (marks 4 9⁄10 to 6 1⁄10)
5 37⁄100
5.37
Five and thirty-seven hundredths
Second (marks 14 4⁄10 to 15 6⁄10)
15 3⁄100
15.03
Fifteen and three hundredths
Third (marks 6 7⁄10 to 7 9⁄10)
7 52⁄100
7.52
Seven and fifty-two hundredths
Fourth (marks 4 9⁄10 to 10 1⁄10)
9 80⁄100
9.80
Nine 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.