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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_04
\ 12-Sep-2024 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________
Step 1: Multiply the ones. Step 2: Multiply the tens. Step 3: Multiply the hundreds.
3 ones × 3 = 9 ones 0 tens × 3 = 0 tens 1 hundred × 3 = 3 hundreds
Write 9 in ones column. Write 0 in tens column. Write 3 in hundreds column.
H t O H t O H t O
1 0 3 1 0 3 1 0 3
× 3 × 3 × 3
9 0 9 3 0 9
Thus, 103 × 3 = 309. That is, there are 309 questions in all in the 3 booklets.
Example: Multiply 432 by 2.
Solution: Step 1: Multiply the Step 2: Multiply the Step 3: Multiply the
ones. tens. hundreds.
2 ones × 2 = 4 ones 3 tens × 2 = 6 tens 4 hundreds × 2 = 8 hundreds
H t O H t O H t O
4 3 2 4 3 2 4 3 2
× 2 × 2 × 2
4 6 4 8 6 4
Thus, 432 × 2 = 864
practice time 4b
Find the product of the following.
1. t O 2. t O 3. t O 4. H t O
3 4 2 2 3 0 2 3 3
× 2 × 4 × 3 × 2
5. H t O 6. H t O 7. H t O 8. H t O
1 2 3 4 5 3 3 2 2 2 1 2
× 3 × 1 × 3 × 4
Multiplication by a 1-Digit nuMber (With regrouping)
Multiplication of a 2-digit number by a 1-digit number
Arjun wants to buy 3 notebooks. Each notebook costs `38. How much money does he
need for it?
To know the amount required, let us multiply 38 by 3 using the given steps.
Step 1: Multiply the ones. t O
2
8 ones × 3 = 24 ones 3 8
Regroup 24 ones into tens and ones. 24 ones = 2 tens and 4 ones. × 3
Write 4 in the ones column and carry over 2 tens in the tens column. 4
72 Mathematics-3

