**Measurements**

Measuring and comparing weights

Weight is the measurement of the heaviness of an object. To measure the weight of any object we can use a spoon, bowl, bag etc. We also use balance scales or weighing scales, and weight bars to measure the weight of an object.

We can measure weight of any object in following ways.

- Using non-Standard units
- Using standard units

Non-standard Units of Weight

- It helps children to focus on the concept of heavier and lighter, comparing weights
- We use cups, bowls, spoons etc. to measure weight in the non-standard measurement of weight
- We can see the use of these things in recipes.
- It changes person to person or instrument to instrument.

Standard Units of Weight

There are different weight bars like 1kg, 2kg, 500g, 250g, 100g, 50g etc., to measure weight. In daily life, we use many machines with which we can measure the weight of objects.

- In standard units, we use kilograms, grams, etc. to measure weigth.
- To measure the weight of objects, we use machines like traditional scale, hanging scale, tabletop scale, platform scale etc.
- The lighter weights can be measured using the traditional scale, hanging scale, tabletop scale etc., and to measure heavier weights we need a platform scale.

Units Used to Measure Weight

Weight is measured in kilograms (kg), grams (g), and milligrams(mg).

- We use milligrams and grams to weigh lighter objects.
- To measure heavier objects, we use kilograms.
- 1 kg = 1000 g
- 1g = 1000 mg
- 1000 g = 1 kg
- 1000 g = 1 kg

The standard unit of measurement of weight is Kilogram.

Conversion of Kilogram into Gram

To convert kilograms into grams, we multiply the weight of the object by 1000.

Example:Convert the following units from kg to gram.

(i) 6 kg (ii) 15kg

**Answer:**

- 6 kg = 6 × 1000 g = 6000 g
- 15 kg = 15 × 1000 g = 15000 g

Comparing Weights

To compare the weight of any object, we can use both non-standard units and standard units.

Comparing weight using non-standard units:

- To compare the weights of two objects with different weights one should use their sense to feel which one is heavier and which one is lighter.
- One can use more than one object to measure the weight of objects.

Let us discuss it with an example.

Example:

As shown in the picture below, to measure the weight of the pumpkin, we have used 20 small tomatoes.

So, clearly, from the picture the pumpkin is heavier than 20 tomatoes.

Comparing weight using standard units:

- We need to first convert both in the same unit and then compare the numerical value of the weights.
- The greater one is heavier and the lesser one is lighter
- To find the difference in weights, we need to subtract the lighter weight from the heavier one.
- Subtraction of weight follows the rule for subtraction of numbers.

Let us discuss it with an example.

Example:

Compare the given weights. Also, find the difference in weights.

(i) 16 kg, 4 kg (ii) 48 g, 19 g

**Answer:**

- Clearly, 16 > 4.
- Clearly, 48 > 19

So, 16 kg is heavier than 4 kg.

To find the difference in the weights, we need to subtract 4 kg from 16 kg.

Hence, the difference in weights is:

16kg – 4 kg = 12kg

So, 48 g is heavier than 19g

To find the difference in the weights, we need to subtract 19 g from 48g.

Hence, the difference in the weights is:

48g – 19g = 29g

Word Problems

The discussion below is about how to solve word problems related to weight. Here it is discussed with some examples.

Example 1:

Anandi bought 500 g apples and 225 g mangoes. Find which is heavier, the apples or the mangoes. Also find the difference in their weights.

**Answer:**

She bought 500 g apples and 225 g mangoes.

So, 500 > 225

Clearly, 500 g is heavier.

So, the apples are heavier.

The difference in the weights of apples and mangoes are:

500 g − 225 g = 275 g

Hence, the difference in the weights of the fruits is 275 g.

Example 2:

Rashid finds that his weight is 15 kg. Mini claimed that she is lighter than Rashid and the difference between her weight and Rashid’s weight is 3 kg. Find the weight of Mini?

**Answer:**

Given that the weight of Rashid is 15 kg.

Mini claimed that she is lighter than Rashid and the difference between her weight and Rashid’s weight is 3 kg.

So, Mini’s weight is:

15 kg – 3 kg = 12 kg

Hence, Mini’s weight is 12 kg.