Page 59 - Math Genius C4

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-03
\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Step 2: Multiply 3231 by 2 ones. tth th H t O

3231 × 2 ones = 6462 ones. 3 2 3 1
× 1 2
6 4 6 2
Step 3: Multiply 3231 by 1 ten. tth th H t O
3231 × 1 ten = 3231 tens 3 2 3 1

= 32310 ones 1 2
6 4 6 2
+ 3 2 3 1 0
Step 4: Add both partial products. tth th H t O

= 6462 + 32310 3 2 3 1
= 38772 × 1 2
6 4 6 2
+ 3 2 3 1 0
3 8 7 7 2

Practice Time 3B

Find the product of the following.
1. 248 × 27 2. 301 × 59 3. 543 × 18 Think Tank

4. 1495 × 64 5. 2432 × 58 6. 3046 × 42 Is it possible for the product of
a 3-digit number and a 2-digit
7. 4078 × 37 number to be less than 1000?

Multiplication by a 3-Digit nuMber

Multiplication of a 3-digit number by a 3-digit number is the same as multiplication
of a 2-digit number by a 2-digit number.

Let us multiply 276 by 234.
Expand the multiplier 234 and start multiplying by using the following steps:

Step 1: Multiply 276 by 4 ones.
276 × 4 = 1104 tth th H t O

Step 2: Multiply 276 by 3 tens. 2 7 6
276 × 30 = 8280 × 2 3 4 200 + 30 + 4

Step 3: Multiply 276 by 2 hundreds. 1 1 0 4 276 × 4
276 × 200 = 55200 8 2 8 0 276 × 30

Step 4: Add the partial products. + 5 5 2 0 0 276 × 200
6
4
5 8 4
1104 + 8280 + 55200 = 64584 Product
Thus, 276 × 234 = 64584.

Mathematics-4 57