# Measurement of Weight – Class 3

We use standard units to measure weight. The standard unit for measuring weight are grams (g) and kilogram (kg). We use these measurements depending on how light or heavy the object is. For weighing light objects we use gram and for weighing heavier objects we use kilogram. This maths chapter – Measurement of Weight is important for students studying in class 3. Lets begin. Let’s see relation between gram (g) and kilogram (kg).

1 000 gram (g) = 1 kilogram (kg)
In other words, we can say, 1 kg = 1000 g

### Conversion of weight

Let’s learn how to convert kilogram (kg) into gram (g).
We know that 1 kg = 1000 gm.
(1) To convert kilogram into gram, multiply kilogram by 1000.
(2) To convert kilogram and gram into gram, multiply kilogram by 1000 and add the grams.

### Examples

Convert 6 kg into grams
1 kg = 1000 g
Therefore, 6 kg = 6 x 1000 = 6000 g
6 kg = 6000 gm

Convert 8 kg 750 g into grams
1 kg = 1000 g
8 kg = 8 x 1000 g = 8000 g
8 kg 750 g = 8000 g + 750 g = 8750 g

### Exercise 1: Convert into grams.

1. 21 kg
21 kg = 21 x 1000 = 21000 g
So, 21 kg = 21000 g
2. 10 kg 225 g
10 kg = 10 x 1000 = 10000 g
So, 10 kg 225 g = 10000 g + 225 g = 10225 g
3. 5 kg 5 g
5 kg 5 g = 5000 g + 5 g = 5005 g
4. 30 kg 50 g
30 kg 50 g = 30 x 1000 g + 50 g = 30000 g + 50 g = 30050 g

Let’s now learn how to convert gram (gm) into kilogram (kg).

To convert gram into kilogram, divide gram by 1000.
The quotient is the kilogram and the remainder gives the gram.

### Examples

1. Convert 5000 g into kg.
Divide 5000 by 1000,
5000 ÷ 1000 = 5
Quotient = 5, Remainder = 0
So, 5000 g = 5 kg
2. Convert 5275 g into kg.
On dividing 5275 by 1000, we get
Quotient = 5, Remainder = 275
So, 5275 g = 5 kg 275 g

Other method:

5275 g = 5000 g + 275 g
We know that 5000 g = 5 kg
So, 5275 g = 5 kg + 275 g = 5 kg 275 g

### Addition of weight

Example: Add 25 kg 275 g, 50 kg 762 g and 7 kg 25 g

Write the weights to be added in kg and g columns as shown below. First add the grams and then kilograms. Remember to add the carry overs.

 kg g 2 5 2 7 5 5 0 7 6 2 7 2 5 8 3 0 6 2

### Subtraction of weight

Example: Subtract 32 kg 475 g from 87 kg 225 g

Write the weights to be subtracted in kg and g columns as shown below. First subtract the grams and then kilograms.

 kg g 8 7 2 2 5 3 2 4 7 5 5 4 7 5 0

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