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E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-03
\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
Let me explain to you how to multiply 2343 by 4.
Vertical Method th H t O
Step 1: Multiply 3 ones by 4. 1
3 × 4 = 12 ones = 1 ten 2 ones 2 3 4 3
Write 2 in the ones column and carry over 1 to the tens column. × 4
Step 2: Multiply 4 tens by 4. 2
4 × 4 = 16 tens and 16 tens + 1 ten (carried over) th H t O
= 17 tens = 1 hundred 7 tens 1 1
Write 7 in the tens column and carry over 1 to the 2 3 4 3
hundreds column. × 4
Step 3: Multiply 3 hundreds by 4. 7 2
3 × 4 = 12 hundreds and 12 hundreds + 1 hundred
(carried over) = 13 hundreds = 1 thousand + 3 hundreds th H t O
Write 3 in the hundreds column and carry over 1 to the 1 1 1
thousands column. 2 3 4 3
Step 4: Multiply 2 thousands by 4. × 4
2 × 4 = 8 thousands 3 7 2
and 8 thousands + 1 thousand (carried over) = 9 thousands.
Write 9 in the thousands column. th H t O
1 1 1
Thus, 2343 × 4 = 9372. 2 3 4 3
Horizontal Method × 4
Step 1: Expand 2343 as: 2343 = 2000 + 300 + 40 + 3 9 3 7 2
Step 2: Multiply each place value by 4.
(2000 + 300 + 40 + 3) × 4 × 2000 300 40 3
Step 3: Add the partial products. 4 8000 1200 160 12
8000 + 1200 + 160 + 12 = 9372
Thus, 2343 × 4 = 9372.
Example 1: Multiply 1251 × 5. Example 2: Multiply 3263 × 4.
Solution: tth th H t O Solution: tth th H t O
1 2 1 2 1
1 2 5 1 3 2 6 3
× 5 × 4
6 2 5 5 1 3 0 5 2
Mathematics-4 55

