MULTIPLICATIONS

 Mind Maps

Class II - maths: Multiplications
Q) Find the product 7 * 8 =?

Q) Find the product 20 *0 =?

Q) Find the product 2 *2 = ?

Q) Find the product 71 *1?

Q) Find the product 4 *4 =?

Q) Multiplication is nothing but ?

Q) Double of 7 = ?

Q) 3 * 8 = ?

Q) 8 * 9 = 9 * 8 = ?

Q) There were 45 children each child ate 3 bananas How many bananas were eaten in all?

Q) Multiply the 201 *6 = ?

Q) What is multiplication give an example?

Q) Multiply 405 by 5?

Q) Multiply 324 by 3?

Q) There are 365 days in a year.How many days will there be in 2 years?

Q) Multiply the 101 * 9 = ?

Q) Write about Multiplying By 1?

Q) There were 19 bosts each boat carried 4 childrens. How many children went for the boat ride?

Q) I counted 274 beds on a necklace . How many beds will there be on 6 such necklaces?

Q) There are 365 days in a year How many days will there be in 3 years?

Q) There were 89 mats . 4 children were sitting were sitting on each mat. How many children were sitting in all?

Q) There were 70 plates.Each plate had 6 apples . How many apples were there in all?

Q) There were 56 children in the class. Each child ate 4 mangoes.How many mangoes were eaten in all?

Q) There were 55 plates.Each plate had 5 bananas.How many bananas were there in all?

Q) There were 32 children in the class. Each child took 3 books. How many books were taken in all?

Q) There were 44 friends.Each won 2 prizes in the games.How many prizes did they win in all?

Multiplication
Definition

"Multiplication is nothing but repeated addition".

"It is denoted by "×"

Example: Count the number of apples on the trees. This is a repeated addition. An easier and shorter method is to multiply 5 by 4,

i.e., 5×4 = 20.

Multiplication is a short way for repeated addition.

Example:

4 ×7 means to add 4 times 7 or, 7 + 7 + 7 + 7 = 28.

Building The Tables

### Groups of 6:

This means we are making many groups of 6 objects each.

So, we multiply by 6.

Example:  Tables Of 6

Count And Build The Table Of 6: If we observe the tables of 5 and 6, we see a very interesting fact.

5 ×6 = 6 ×5 = 30.

We can easily observe the following facts from the tables we learnt so far:

• 1×6=6×1=6
• 2×6=6×2=12
• 3×6=6×3=18
• 4×6=6×4=24
• 10×6=6×10=60

Table Of 7

Count And Build The Table Of 7. Table Of 8

Count And Build The Table Of 8: Table Of 9

Count And Build The Table Of 9: #### Multiplication With The Help Of Tables

Table Of 4table Of 5 #### Multiplication On A Number Line

Multiply 5 By 3 Start from 0 and count by three with the method of skip counting.

5 jumps of 3 steps each.

5 jumps of 3= 5 ×3 = 15.

Multiplication Facts

### Multiplying By 1:

1 student in the class. Any number multiplied by 1 is the number itself.

### Multiplication By 0:

There are no books in the book shelf.  Order Of Numbers So, 6 ×5 = 30 = 5 ×6

Similarly, 4 ×3 = 12 = 3 ×4

7 ×8 = 56 = 8 ×7.

In this, two numbers multiplied in any order, have the same product.

Changing the order of the multiplicand and the multiplier does not change the product.

#### Multiplication Of A Two Digit Number By A 1_Digit Number

Let us consider an example to multiply 2_digit number by a 1_digit number.

Example: Multiply 32 by 2

Solution:

• Multiply the ones.
• 2 ones ×2 = 4 ones

• Write 4 in the ones column.
• • Multiply the tens.
• 3 tens ×2 = 6 tens

Write 6 in the tens column. #### Multiplication Of A 3_Digit Number By A 1_Digit Number

Example: Multiply 324 by 2.

Solution:

• Multiply the ones.
• 4 ones ×2 = 8 ones

• Write 8 in the ones column.
• • Multiply the tens.
• 2 tens ×2 = 4 tens

• Write 4 in the tens column.
• • Multiply the hundreds.
• 3 hundreds ×2 = 6 hundreds
• Write 6 in the hundreds column. #### Multiplication Of A 2_Digit Number By A 1_Digit Number By Regrouping And Carrying Over

Example: Multiply 42 by 8

Solution:

• Multiply the ones.
• 2 ones ×8 = 16 ones

• Write 6 in the ones column and carry 1 ten to the tens column.
• • Multiply the tens.
• 4 tens ×8 = 32 tens.

32 tens + 1 ten = 33 tens

33 tens = 3 hundreds + 3 tens

• Write 3 tens in the tens column and 3 hundreds in the hundreds column. #### Multiplication Of A 3_Digit Number By A 1_Digit Number By Regrouping And Carrying Over

Example: Multiply 186 by 3.

Solution:

• Multiply the ones.
• 6 ones ×3 = 18 ones.

18 ones = 1 ten + 8 ones

• Write 8 in the ones column and carry 1 ten to the tens column.
• • Multiply the tens
• 8 tens ×3 = 24 tens

24 tens + 1 ten = 25 tens

25 tens = 2 hundreds + 5 tens

• Write 5 tens in the tens column and carry 2 hundreds to the hundreds column.
• • Multiply the hundreds
• 1 hundred ×3 = 3 hundreds

3 hundreds + 2 hundreds = 5 hundreds.

• Write 5 hundreds in the hundreds column. Word Problems

Example: There were 72 children in the class. Each child ate 3 apples.
How many apples were eaten in all?

Solution:

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