Page 102 - Math Genius C3

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\ 12-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________

Mind Map
math Creative Thinking

Division

Division as Equal Distribution Division as Repeated subtraction

12 ÷ 4 = 3 20 – 4 – 4 – 4 – 4 – 4 = 0
The number The number The result of 1 2 3 4 5
to be divided by which the the division 20 ÷ 4 = 5
is called the dividend is is called the
dividend. divided is quotient. Multiplication fact Division fact
called the 8 ÷ 2 = 4
divisor. 4 × 2 = 8
8 ÷ 4 = 2
Division By 1-Digit number Long Division

Without Regrouping With Regrouping Without Remainder With Remainder

2 68 34 Q 6 289 48 Q Quotient Quotient Example:
– 6 – 24 Divisor Dividend Divisor Dividend 4 29 7
49
08 – 48 Remainder – 28
– 8 1 R Example: 1
0 R 9 45 5 Checking:
– 45 Quotient × Divisor + Remainder
0 = Dividend

Properties of Division Division by 10 and 100

Division by 1 Division by 10 Division by 100
Example: 16 ÷ 1 = 16 100 7856 78 Q
Division by number itself 10 87 8 Q – 700
Example: 8 ÷ 8 = 1 – 80 856
Division of 0 by any number. 7 R 800
Example: 0 ÷ 9 = 0 –
56 R

Challenge Question Critical Thinking
1. Help Joe to solve the following puzzle.

4 × 10 ÷ 4 × 3 30 ÷ 2 × 60 × 8

× 0 ÷ 10 × 5 ÷ 12

2. I am a number between 20 and 40. If divided by 4, the remainder is 3, and if divided by 5,
the remainder is 4. Can you identify me?

100 Mathematics-3