Ignore the points at first
Start with the whole numbers
To work out 0.3 times 0.4, first multiply the digits as whole numbers.
📚 Chapter Learning Kit
Another Peek Beyond the Point · Class 7 Mathematics · Ganita Prakash
English 3 topics 105 leveled MCQs 51 flashcards 5 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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Times three, then divide by ten
Multiplying by a tenth
The number 0.3 is 3 tenths, so multiplying by it is multiplying by 3 and dividing by 10.
Once for each tenth
So the point moves twice
The two multiplications gave the 12, and then we divided by 10 twice over.
The easier kind of division
Sharing 4.8 metres among six
A rope of 4.8 metres cut into 6 equal pieces needs 4.8 divided by 6.
Keep the point where it was
Dividing by a whole number
Divide as you always have, and keep the decimal point in place.
Nine point one divided by seven
A second of that kind
Seven goes into 91 thirteen times.
📖 Smart notes
What you'll study, topic by topic
1
Multiplying decimals, and where the point goes
Multiply the digits as whole numbers, then count the decimal places in both numbers and give the answer that many, inserting a zero if the digits run short. Each decimal place is a division by ten, which is why the count…
- First multiply the digits as whole numbers, ignoring both points.
- Multiplying by 0.3 is multiplying by 3 and dividing by ten.
- So each decimal place in the question is one division by ten.
~40 min · full explanation, examples & memory tricks in the app
2
Dividing decimals, and clearing the divisor
Dividing by a whole number needs no new work: divide as usual and keep the point in place. A decimal divisor is cleared first by multiplying BOTH numbers by ten as often as needed, which is allowed because a division is…
- A whole number divisor needs no clearing: divide and keep the point.
- So 4.8 divided by 6 is 0.8, and 9.1 divided by 7 is 1.3.
- A decimal divisor leaves long division nothing to bite on.
~40 min · full explanation, examples & memory tricks in the app
3
Estimating, and judging an answer before you trust it
Round each number and work out the rounded calculation to see roughly where the answer should land. Rounding both the same way pushes the estimate that way. An estimate catches a misplaced point every time, since that is…
- A point can slip while every digit stays correct, so the answer looks tidy.
- Round each number to the nearest whole and work that calculation out.
- So 2.9 times 4.1 estimates to 12, against an exact 11.89.
~40 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
105 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Two decimals are to be multiplied together, and one step comes before the point is thought about at all. The first step is to
Beginner
A line up the two points
B add the two numbers
C multiply as whole numbers
D round both numbers
Show answer & explanation
multiply as whole numbers
That gives the right string of digits.
A number is multiplied by 0.3 rather than by 3, so the working is done in two parts. That amounts to multiplying by 3 and
Intermediate
A dividing by 3
B multiplying by 10
C dividing by 10
D adding 10
Show answer & explanation
dividing by 10
Because 0.3 is three tenths.
In 0.3 times 0.4, the number of times we divide by 10 is
Advanced
A twice
B once
C three times
D not at all
Show answer & explanation
twice
Once for each of the two tenths.
Dividing by 10 twice moves the decimal point
Intermediate
A two places right
B two places left
C one place left
D one place right
Show answer & explanation
two places left
So 12 becomes 0.12.
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