CLASS-5SUBTRACTION IN MEASUREMENT

SUBTRACTION IN MEASUREMENT -

Subtraction in measurement is the process of determining the difference between two measured quantities. It is commonly used to compare measurements or calculate the change between two values. Like addition, subtraction of measurements requires that the measurements have the same units or compatible dimensions.

When performing subtraction with measurements that have the same units and dimensions, the process is straightforward. You simply subtract one measurement from the other to find the difference. For example, if you have two lengths, 10 meters and 5 meters, their difference is 5 meters.

However, if the measurements have different units or dimensions, you may need to convert them to a common unit or dimension before subtracting. Let's consider an example where you want to find the difference between a distance of 8 meters and a distance of 350 centimeters. First, you need to convert the distance in centimeters to meters. Since there are 100 centimeters in a meter, you divide 350 centimeters by 100 to get 3.5 meters. Now, you can subtract 3.5 meters from 8 meters to obtain a difference of 4.5 meters.

It's crucial to note that subtraction may not be meaningful or applicable in all cases, especially when dealing with measurements of different types or incompatible dimensions. In such cases, it's important to carefully consider the nature of the measurements and the units involved to determine if subtraction is appropriate or if additional calculations or conversions are necessary.

In summary, subtraction in measurement involves finding the difference between two measured quantities. Ensure that the measurements have the same units or compatible dimensions before performing subtraction, and if needed, convert the measurements to a common unit or dimension for accurate results.

Subtraction is another arithmetic operation that can be applied to measurements in certain contexts. Like addition, it's important to consider the units and dimensions of the measurements involved to ensure compatibility and obtain meaningful results.

When subtracting two measurements with the same unit and dimension, the process is straightforward. You simply subtract the numerical values. For example, if you have two lengths, 8 meters and 3 meters, their difference is 5 meters.

However, when dealing with measurements that have different units or dimensions, additional considerations and conversions may be required.

For instance, let's say you want to subtract a length in meters (e.g., 7 meters) from a length in centimeters (e.g., 500 centimeters). To perform the subtraction, you need to convert one of the measurements to match the other. Converting 500 centimeters to meters by dividing by 100 gives you 5 meters. Now, you can subtract 5 meters from 7 meters to get a difference of 2 meters.

In more complex scenarios, such as subtracting measurements with different dimensions, direct subtraction may not be appropriate. Additional calculations or conversions may be necessary to ensure compatibility between the measurements or to express the result in a meaningful way.

Remember to carefully consider the units and dimensions involved when subtracting measurements. Always ensure that the measurements are of the same type or have been appropriately converted to a common unit or dimension to obtain a meaningful result.

While doing Subtraction in Measurement we have to express the given measures in the same unit by using the decimal notation and then do Subtraction as in the case of decimals. But before doing that we need to arrange the given units in their place value chart, putting the digits in their proper places, taking the vacant places as zero.

Express in decimal notation and then subtract :

a) 6 kg 5 hg 2 dag 7 g from 10 kg 6 g

kg    hg    dag    g

10    0      0     6    =   1 0  .   0  0  6 kg

6     5     2     7    =   - 6   .  5  2  7 kg

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3   .  4  7  9 kg

Answer is 3.479 kg     (Ans.)

b) 6 kg 5 hg 2 dag 7 g from 10 kg 6 g

kg   hg   dag    g

10    0     0     6    =   1 0   .    0 0 6 kg

6    5     2     7    =   - 6    .   5 2 7 kg

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3    .   4 7 9 kg

Answer is 3.479 kg     (Ans.)