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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-03
\\December 6, 2023 1:25 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

Practice Time 3A

1. Multiply the following.

(a) tth th H t O (b) tth th H t O (c) tth th H t O

3 7 2 4 6 7 8 2 7 2 8 9
× 3 × 7 × 9

2. Find the product of the following.
(a) 1234 × 4 (b) 6169 × 3 (c) 2341 × 4 (d) 7641 × 7
(e) 9811 × 9 (f) 8765 × 5 (g) 9874 × 8 (h) 6874 × 6

Multiplication by a 2-Digit nuMber

Let us first revise the multiplication of a 3-digit number by a 2-digit number, then

extend the learning to find the multiplication of a 4-digit number by a 2-digit number.
example 1: Multiply 462 by 26.

Solution: Step 1: Write the multiplicand 462
and multiplier 26 in proper tth th H t O
place value columns. 4 6 2 Multiplicand

Step 2: Multiply 462 by 6 ones. × 2 6 Multiplier
462 × 6 ones = 2772 ones 2 7 7 2 462 × 6 ones
Step 3: Multiply 462 by 2 tens. + 9 2 4 0 462 × 2 tens
462 × 2 tens = 9240 ones 1 2 0 1 2 Product

Step 4: Add both partial products.
2772 + 9240 = 12012

Thus, 462 × 26 = 12,012

Remember
Š The number, that is, multiplied is called the multiplicand. 12 × 6 = 72
Š The number by which we multiply is called the multiplier.
Š Multiplicand and multiplier are commonly called the factors. Multiplicand Product
Š The result of the multiplication is called the product. Multiplier

Multiplication of a 4-digit Number by a 2-digit Number

example 2: Multiply 3231 by 12.

Solution: Step 1: Write the multiplicand 3231 tth th H t O
and the multiplier 12 in the 3 2 3 1
proper place value columns. × 1 2

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