# Subtraction of Mass

In subtraction of mass we will learn how to find the difference between the units of mass or weight. While subtracting we need to follow that the units of mass i.e., kilogram and gram are converted into grams before subtraction and then follow the simple subtraction process.

We will learn two different methods to solve subtraction using the standard unit and smaller unit of mass. Students can practice both the methods.

(i) Subtracting units with conversion into gram

(ii) Subtracting units without conversion into gram

Worked-out examples on subtraction of mass:

1. Subtract 11 kg 460 g from 25 kg 765 g

Solution:

Method 1 (with conversion into gram):

We know, 1 kg = 1000 grams

Now kg and g are converted into grams before doing subtraction and then we need to follow the simple subtraction process.

11 kg 460 g = (11 × 1000) g + 460 g = 11000 g + 460 g = 11460 grams

25 kg 765 g = (25 × 1000) g + 765 g = 25000 g + 765 g = 25765 grams

Now sum,

25765 g

-   11460
g

14305 g

= 14 kg 305 g

Therefore, 25 kg 765 g - 11 kg 460 g = 11 kg 305 g

Method 2 (without conversion into gram):

Here kg and g are arranged in different columns and then added like ordinary numbers.

(i) kg and g are arranged in columns

(ii) 765 g - 460 g = 305 g

(iii) 25 kg - 11 kg = 14 kg

kg        g
25     765

-   11     460
14     305

= 14 kg 305 g

Therefore, difference of 11 kg 460 g from 25 kg 765 g = 14 kg 305 g

2. Subtract 24 kg 565 g from 45 kg 225 g

Solution:

Method 1 (with conversion into gram):

We know, 1 kg = 1000 grams

Now kg and g are converted into grams before doing subtraction and then we need to follow the simple subtraction process.

24 kg 565 g = (24 × 1000) g + 565 g = 24000 g + 565 g = 24565 grams

45 kg 225 g = (45 × 1000) g + 225 g = 45000 g + 225 g = 45225 grams

Now sum,

45225 g

-  24565
g

20660 g

= 20 kg 660 g

Therefore, 45 kg 225 g - 24 kg 565 g = 20 kg 660 g

Method 2 (without conversion into gram):

Here kg and g are arranged in different columns and then added like ordinary numbers.

(i) kg and g are arranged in columns

(ii) 225 g < 565 g, then 225 g - 565 g, so 1 kg from 45 kg is borrowed and added to 225 g

1 kg + 225 g = 1000 g + 225 g = 1225 g

1225 g - 565 g = 660 ml

(iii) 45 kg reduce into 44 kg

44 kg - 24 kg = 20 kg

kg        g
45     225

-   24     565
20     660

= 20 kg 660 g

Therefore, difference of 24 kg 565 g from 45 kg 225 g = 20 kg 660 g

3. Subtract  21 kg 370 g from 37 kg 675 g without conversion into gram.

Solution:

Here kg and g are arranged in different columns and then added like ordinary numbers (without conversion into gram).

kg        g
37     675

-   21     370
16     305

= 16 kg 305 g

Therefore, difference of 21 kg 370 g from 37 kg 675 g = 16 kg 305 g

The above problems on subtraction of mass will help the students to practice the worksheet on subtracting the different units with conversion or without conversion.

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