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.

- 21 kg

21 kg = 21 x 1000 = 21000 g

So, 21 kg = 21000 g - 10 kg 225 g

10 kg = 10 x 1000 = 10000 g

So, 10 kg 225 g = 10000 g + 225 g = 10225 g - 5 kg 5 g

5 kg 5 g = 5000 g + 5 g = 5005 g - 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

- Convert 5000 g into kg.

Divide 5000 by 1000,

5000 ÷ 1000 = 5

Quotient = 5, Remainder = 0

So, 5000 g = 5 kg - 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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