NCERT Solutions Ganita Prakash (Part 1) Chapter 3 In-text Questions — A Hundredth Part
Book page 57 Updated on2026-09-05
Q1.
Are both these methods different?
Answer
No. Method 1 and Method 2 do exactly the same steps — Method 2 just writes them in a column.
Step
Method 1 (expanded)
Method 2 (column)
Add each place
(15+2) + (3⁄10+6⁄10) + (4⁄100+8⁄100)
17 9⁄1012⁄100
Regroup hundredths
17 + 9⁄10 + 1⁄10 + 2⁄100
17 10⁄102⁄100
Regroup tenths
18 + 2⁄100
18 2⁄100
Why it happens: both rest on the same two facts — 10 hundredths make 1 tenth, and 10 tenths make 1 unit. Method 1 shows the reasoning; Method 2 is the short form we normally write.
Q2.
Observe the addition done below for 483 + 268. Do you see any similarities between the methods shown above?
Answer
Yes — it is the very same procedure, one place value higher.
Why it happens: in the Indian place value system every place is 10 times the place on its right — and that stays true when we walk right of the units place into tenths and hundredths. So the same carrying rule works everywhere.
Q3.
What is the difference: 25 9/10 – 6 4/10 7/100 ?
Answer
The first number has no hundredths, so open one tenth into 10 hundredths first.
Why it happens: 25 9⁄10 means 25 units, 9 tenths and 0 hundredths. Since 7 hundredths cannot be taken from 0, one of the 9 tenths is exchanged for 10 hundredths, leaving 8 tenths and 10 hundredths.