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\\December 6, 2023 1:25 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

Encapsulate
math
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Multiplication by a 1-digit number Multiplication by a 2-digit number Multiplication by a 3-digit number
example: Multiply 4872 by 4. example: Multiply 3598 by 67. example: Multiply 256 by 248.

tth th H t O L tth th H t O tth th H t O
3 2 3 5 9 8 2 5 6
× 6 7 × 2 4 8
4 8 7 2 2 0 4 8 (256 × 8)
2 5 1 8 6 (3598 × 7)
× 4 1 0 2 4 0 (256 × 40)
+ 2 1 5 8 8 0 (3598 × 60) + 5 1 2 0 0 (256 × 200 )
1 9 4 8 8 2 4 1 0 6 6 6 3 4 8 8

estimating product (to nearest 10) properties of Multiplication.

example: Estimate the value of 516 × 393.
H t O L tth th H t O 1. Order property:
5 1 6 5 2 0 Example: 195 × 67 = 13,065 = 67 × 195
× 3 9 3 × 3 9 0 2. group property:
2 0 2 8 0 0 Example: 563 × (20 × 5) = (563 × 20) × 5
3. Multiplicative property of 1:
Example: 1421 × 1 = 1421
Lattice Multiplication 4. Multiplicative property of 0:
example: Multiply 236 by 24. Example: 43915 × 0 = 0
2 3 6
5. distributive property of Multiplication Over Addition:
0 0 1 2 Example: 5 × (10 + 4) = 5 × 10 + 5 × 4
0 4 6 2
0 1 2 4
=5 8 2 4
1 6 4
0+4+0+ 1 2+2+2=6 Multiplying by tens and Hundreds 10, 20, …, 100, 200,
8+1+6+1= examples: (a) 387 × 30 = 11610
...

236 × 24 = 5664 (b) 1821 × 800 = 1456800

Brain Sizzlers
Find the suitable values for A, B and C to make tth th H t O
this multiplication sum meaningful. A A A

× A A A
A B C B A

66 Mathematics-4