We can do the basic operations on the metric units as we do the decimal operations.

**Fundamental
Operations on Quantities with Different Units**

We can do the basic operations on the metric units
as we do the decimal operations. Note that, measurements with the same unit can
be added/ subtracted, but unlike units of measurements should be converted into
like units and then they can be added / subtracted.

** **

__Example 8: __

Saritha bought 6** ***m*** **and 40** ***cm*** **of cloth for herself and 3** ***m*** **and 80** ***cm*** **of cloth** **for her sister. What was the total length of the cloth bought by
her?

**Solution:**

** **

__Example 9: __

Pradeep travels 4** ***km*** **and 350** ***m* to reach to the market, while Kandan travels 6 *km* and 200 *m* to reach to the same market from their houses.

How much distance does Kandan travel more than Pradeep?

**Solution:**

Kandan travelled 1 *km* and 850 *m* more than Pradeep.

** **

__Example 10:__

** **A child needs 100** ***g*** **of vegetables per day. How many** ***kg*** **of vegetables will** **be needed for a school of strength 90.

**Solution :**

Total strength of the school = 90

Weight of vegetables for each child per day = 100 *g*

Total weight of vegetables for 90 children per day
= 90 × 100 *g*

= 9000 *g*

= 9 *kg* vegetables need per day.

__ __

__Example 11: __

A bag contains 81** ***kg*** **of sugar. If the shopkeeper made small
packets of 750** ***g*.** **each,
then how many packets can be made from 81 *kg* of sugar?

**Solution :**

Quantity of sugar in the bag = 81 *kg*

Quantity of sugar in each packet = 750 *g*

Number of packets required = 81 *kg** *÷ 750 *g*

= 81 × 1000 *g** *÷ 750 *g*

= 81000 *g** *÷ 750 *g*

= 108

** **

**Think**

**1. Five kilograms of compost is needed for a coconut tree for every six months.
How many kilograms of compost is needed for 50 such coconut trees for one and half
years.**?

Compost needed for a coconut tree for every six months = 5 kg.

Compost needed for 50 coconut trees for.

six months = 50 × 5 = 250 kg.

1 ½ years = 3 six months.

Compost needed for 50 coconut trees for

1 ½ years = 250 × 3 kg

= 750 kg.

Compost needed for 50 coconut trees for

1 ½ years = 750 kg.

**2. a. Is it correct: 4 ***m***+3 ***cm*** =** **7 ***m*** **

False. 4 m + 3 cm = 400 cm
+ 3 cm = 403 cm

**b. Can we add the following**?

**i) 6***l*** + 7***kg***,**** ****ii) 3 ***m***+5 ***l*** iii) 400 ***ml*** +300 ***g*

No. We can not add
measurements with unlike units.

Tags : Measurements | Term 2 Chapter 2 | 6th Maths , 6th Maths : Term 2 Unit 2 : Measurements

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6th Maths : Term 2 Unit 2 : Measurements : Fundamental Operations on Quantities with Different Units | Measurements | Term 2 Chapter 2 | 6th Maths

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