In this article, you will learn about the multiplication of metric measures. You have chosen the right place to know how to multiply the metric measures along with a detailed procedure of multiplying given numbers. This metric multiplication is similar to the multiplication of ordinary numbers.
We will arrange them in order according to their units and then multiply them. Before starting the process you will learn about metric measures and also about converting them from one unit to another unit. Multiplication of these mixed measures is very important in our standard life. Learn what is meant by Metric System, Some solved example problems on multiplying measurement units, and so on.
Also, Read:
- Metric Measures
- Addition of Metric Measures
- Subtraction of Metric Measures
- Units of Metric Measurement
What is Metric Measurement?
The measurement of a metric system is the standard way of measuring distance, calculating height, measuring weight, and most of our daily used items. The length, weight, and capacity are expressed in meter, gram, and liter respectively, and are standard units of metric systems. You’ll learn how to measure any quantity as well as express it in their respective terms.
The three basic unit systems of measurement of length, mass, and capacity are referred to as the metric system. These metric units are followed everywhere in the world and are called SI units (International System of Units). The concept of the metric system is introduced with these measurements.
How to Multiply Metric Measure?
Metric measures are multiplied in the same way as we multiply ordinary numbers. While multiplying, you can place the digits in columns and then multiply as usual. For example, if the given value is multiplied by a single-digit then you can multiply like ordinary multiplication.
If in case, we can multiply the value with double-digit or more than double-digit, first we can multiply the given value with the first digit then after second like that we can multiply, then add all the multiplication values the sum value is total multiplication value of the given value.
If in case the decimal point is there in the given value, then first we should multiply the value with the given number, then place the decimal point in the final multiplication value.
Multiplying Measurements with Different Units Examples
Example 1:Â
Multiply the following given number 4 kg 3 hg 3 dags 9 g by 2, and write the result.
Solution:Â
As given in the question, the number 4 kg 3 hg 3 dags 9g by 2.
Now, we will find the value of the given multiplication number.
The below shows, how to perform multiplication of metric measures,
While multiplying, you can place the digits in columns and then multiply as usual.
Therefore, the result of the given number is 8 kg 3 hg 3 dags 9g.
Example 2:
In a shop 8 bags of rice are kept are there. Each bag contains 24kg 600g of rice. What is the total weight of all the rice bags?
Solution:
As given in the question,
No. of rice bags in a shop is 8 bags
The total weight of each bag is 24kg 600g.
Now, we will find the total weight of all the rice bags using the given data.
We know the multiplication, based on this we can easily calculate all rice bags’ weight.
So, 24 kg 600g x 8 multiple 8 with a single rice bag rate, we get the total 8 rice bag weight. The below figure shows how to calculate total rice bags weights,
Therefore, the total 8 Rice bags’ weight is 196 kg 800 g.
Example 3:
Find the value of the 2 k l 8 hl 2 l x 12
Solution:
In the question, the given number is 2 k l 8 hl 2 l x 12
Now, we need to find the final value after multiplication.
While you multiplying, we can place the digits in columns and then multiply as usual.
so, the given number is 2-kilo l 8 hl 2 l x 12
After multiplication with 12, we get the value is,
= 33-kilo l 8 hl 4 l
Therefore, the value of 2 k l 8 hl 2 l x 12 is 33-kilo l 8 hl 4 l.
Example 4 :
Multiply the value with 3. The value is 445.06 kg
Solution:
In the question, the given value is 445.06 kg multiply by 3.
Now, we need to find the final value after multiplication.
While you multiplying, we can place the digits in columns and then multiply as usual.
so, the given number is 445.06 kg x 3
After multiplication with 3, we get the value is,
= 133518 kg
We place the decimal point like in the given question value, so place the decimal point after 2 numbers from the starting value.
Therefore, the value of 445.06 kg is multiplied by 3 to get the final value is 1335.18 kg
Example 5:
Explain the step-by-step process of metric measure multiplication of the following,
(i) 5284. 63 l x 25
Solution :
As given in the question, the value finding number is 5284.63 l x 25.
Now, we want to perform the multiplication to get the final result of the given number.
Initially, we can place the digits in columns while performing the multiplication operation and then multiply as usual. Like as shown in the below figure,
Next, as shown in the below figure, like that Multiply the value with 5, we get the first multiplication value,
After that, multiply the value by 2, we get the second multiplication. In this second time multiplication, we need to write the multiplication value starts from 2nd digit place the x at first digit like as shown in the below,
Now, add both first and second multiplication values, we get the final value,
Now, we place the decimal point in the final multiplication value. So, place the decimal point after 2 numbers from the starting value. The value becomes 132115.75 l
Therefore, the final multiplication result value of 5284.63 l*25 is 132115.75 l