The power of multiplication is that it takes something slow like adding at a time. It makes the process faster in one step. Now that we know what is multiplication and the procedure. Let’s see what few rules and easy methods to solve problems on multiplication by ten, hundred, and thousand.
Do Refer: Properties of Multiplication
What is meant by Multiplication?
Multiplication is a powerful way of adding the same number over and over again. If you can add any two numbers then you can certainly learn to multiply. The numbers which are multiplied are called factors and the answer that is obtained is called the product.
Example:
Let’s see how multiplication works.
Suppose you have three pens. Now imagine you have five groups of three pens.
Now to find out the total number of pens you could add 3 + 3 + 3 + 3 + 3 which gives you 15. But this is so slow, so to be fast we can use the power of multiplication. Wondering how to do that let me tell you. As we know that we have five groups of three pens, 3 times of 5 which mean 5 * 3 = 15.
Rules for Multiplying by 10 100 and 1000
Here are some of the basic rules to be followed while multiplying whole numbers by 10, 100, 1000. They are in the below fashion
- When we are trying to multiply a whole number with 10, we have to add a zero to the right of the number.
- When we are trying to multiply a whole number by 100, we have to put two zeros to the right of the number.
- To multiply any whole number with thousand we have to put three zeros to the right of the number.
Examples on Multiplying Whole Numbers by 10 100 1000
Let’s see few examples for a better understanding of the concept of Multiplication by 10 100 1000.
Example 1:
Multiply 15 by 10?
Solution:
15 * 10 = 15 * 1 ten
= (15 * 1) tens
= (15) tens
= 150
Now this result shows what our method indicates. One zero is added at the right.
Let’s solve two more examples with three-digit and four-digit values.
Example 2:
Multiply 367 by 10?
Solution:
=367*10
= 3670
So according to our method, we have to put one zero on the right side. That means 367 * 10 = 3670
Example 3:
Multiply 4789 by 10?
Solution:
= 4789*10
Adding one zero on the right side gives 47890.
This means, when we multiply a number by 10, the product is the number with 1 zero to its right.
Example 4:
Multiply 28 by 100?
Solution:
28 * 100 = 28 * 1 hundred
= (28 * 1) hundred
= (28) hundred
= 2800
Now this result shows what our method indicates. Two zero are added at the right.
Let’s solve few more examples to make our statement clear.
Example 5:
Multiply 689 by 100?
Solution:
689*100
So according to our method, we have to put two zeros on the right side. That means 689 * 100 = 68900
Example 6:
Multiply 89764 by 100?
Solution:
= 89764*100
Adding Two zeros on the right side gives 8976400.
That means, whenever we multiply a number by 100, the product is the number with 2 zeros to its right.
Example 7:
Multiply 19 by 1000?
Solution:
19 * 1000 = 19 * Thousand
= (19 * 1) Thousand
= (19) thousand
= 19000
Now this result shows what our method indicates. Three zeros are added to the right.
Let’s solve few more examples with complex numbers.
Example 8:
Multiply 987 by 1000?
Solution:
= 987*1000
So according to our method, we have to put three zeros on the right side. That means 987 * 1000 = 987000
Example 9:
Multiply 456789 * 1000?
Solution:
= 456789*1000
Adding three zeros on the right side gives 456789000.
That means, whenever we multiply a number by 1000, the product is the number with 3 zeros to its right.
FAQs on Multiplication by Ten Hundred and Thousand
1. What is meant by Multiplication?
Multiplication is nothing but repeated addition and is represented using the symbol “x”.
2. What happens when you multiply by 10, 100 and 1000?
In the multiplication of whole numbers by 10, 100, 1000, we simply rewrite the numbers and add some extra zeros at the end of the multiplicand.
3. What is the result when 54 is multiplied by 10?
When 54 is multiplied by 10 we get 540 i.e. simply add a zero on the right of the multiplicand.