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## Multiplication Properties of Numbers

### Property 1:-

If we multiply a given number with 1, then the resultant number is same as of given number.

**Example 1 =** Find the product of 234 and 1.

**Answer =** 234 * 1

= 234 so you see the resultant number and given number are both equal i.e 234.

**Example 2 =** Multiply 999 with 1

**Answer =** 999 * 1

= 999 so you see the resultant number and given number are both equal i.e 234.

### Property 2:-

If we multiply a given number with 0(zero), then we always get result as 0(zero).

**Example 1 =** Find the product of 234 and 0

**Answer =** 234 * 0

= 0 Hence, you see that product of a number and zero is always equals to 0(zero).

**Example 2 =** Multiply 999 with 0

**Answer =** 999 * 0

= 999 Hence, you see that product of a number and zero is always equals to 0(zero).

### Property 3:-

The product of two numbers doesn't change even if the order of the numbers is changed

**For example, Order 1 =** The product of 12*10 = 120,

**Order 2=** The product of 10*12=120. Hence you see the result in both order 1 and order 2 is same i.e 120

### Property 4:-

The product of three numbers doesn't change, if the grouping of the numbers is changed

**For example, Grouping 1 =** The product of (5*6)*10

solving brackets will give

= 30*10

= 300

**Grouping 2 =** The product of 5*(6*10)

solving brackets will give

= 5*60

= 300

**Grouping 3 =** The product of (5*10)*6 = 300.

solving brackets will give

= 50*6

= 300

Hence you see the result in grouping 1, grouping 2 and grouping 3 is same i.e 300

### Property 5 :-

To multiply a given number by 10, just put a zero on the right of the given number.

To multiply a given number by 100, just put two zeros on the right of the given number and so on.

**For example =**

product of 222 and 10 give result = 2220,

product of 14 *100 will give result = 1400,

product of 188 *1000 will give result = 188000,

If we multiply a given number with 1, then the resultant number is same as of given number.

= 234 so you see the resultant number and given number are both equal i.e 234.

= 999 so you see the resultant number and given number are both equal i.e 234.

If we multiply a given number with 0(zero), then we always get result as 0(zero).

= 0 Hence, you see that product of a number and zero is always equals to 0(zero).

= 999 Hence, you see that product of a number and zero is always equals to 0(zero).

The product of two numbers doesn't change even if the order of the numbers is changed

The product of three numbers doesn't change, if the grouping of the numbers is changed

solving brackets will give

= 30*10

= 300

solving brackets will give

= 5*60

= 300

solving brackets will give

= 50*6

= 300

Hence you see the result in grouping 1, grouping 2 and grouping 3 is same i.e 300

To multiply a given number by 10, just put a zero on the right of the given number.

To multiply a given number by 100, just put two zeros on the right of the given number and so on.

product of 222 and 10 give result = 2220,

product of 14 *100 will give result = 1400,

product of 188 *1000 will give result = 188000,