In multiplication we know how to multiply a one, two or threedigit number by another 1 or 2digit number. We also know how to multiply a fourdigit number by a 2digit number. We also know the different methods of multiplication. Here, we shall make use of the methods and procedures learnt previously in multiplying larger numbers.
The numbers that are being multiplied are called factors.
The answer of a multiplication operation is called a product.
We will recall how to do multiplication of a number by a 1digit number.
Examples on Expanded Notation Method:
1. Use expanded notation to multiply 64 and 8.
Answer: 512
3 and 4 digit numbers can also be multiplied by a 1 digit number using the expanded notation method.
2. Use expanded notation to multiply 413 by 5.
Answer: 2065
3. Use expanded notation to multiply 1246 by 3.
Answer: 3738
4. Use expanded notation to find the product of 1409 and 5.
Answer: 7045
Let us first revise the process of multiplication.
Consider the following:
1. Multiply 215 by 7
Solution:
(i) (Expanded notation method)
215 × 7 = (200 + 10 + 5) × 7 1 4 0 0
= 200 × 7 + 10 × 7 + 5 × 7 + 7 0
= 1400 + 70 + 35 + 3 5
= 1505 1 5 0 5
(ii) (Column method)
Product = 1505 
(i) 5 ones × 7 = 35 = 3 tens + 5 ones 
2. Multiply 6103 by 8
Solution:
(i) (Expanded notation method)
6103 × 8 = (6000 + 100 + 0 + 3) × 8 4 8 0 0 0
= 48000 + 800 + 0 + 24 + 8 0 0
= 48824 + 0
+ 2 4
4 8 8 2 4
(ii) (Column method)
Product = 4 8 8 2 4 
(i) 3 one × 8 = 24 ones = 2 tens + 4 ones 
So, 6103 × 8 = 48824
3. Find the product of 2113 and 3 using column method.
Solution:
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2Digit Number
● Multiplication of a Number by a 3Digit Number
● Word Problems on Multiplication
● Division of TwoDigit by a OneDigit Numbers
● Division of FourDigit by a OneDigit Numbers
● Division by 10 and 100 and 1000
● Division by TwoDigit Numbers
4th Grade Math Activities
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