3rd Class Mathematics Measurement Length, Weight and Capacity Measurement

Measurement

Introduction

Measurement is the elementary information about everything. The term measurement is derived from the Latin word mensura. Length, weight and volume are measured in appropriate units. SI units stands for International system for units.

Conversion of Measuring Units Length weight and Volume.

Conversion between Metres and Centimetres

Following are the steps for the conversion of metres into centimeters and centimetres into metres.

Step 1: Metres are converted into centimetres into centimetres multiplying by 100.

Step 2: Centimetres are converted into metres dividing by 100.

•      Example:

Convert 225 meters into centimetres 

            (a) 22500 cm                                                     (b) 4500 cm

            (c) 2250 cm                                                       (d) All the above

            (e) None of these

Ans.     (a)

            Explanation: 1 metre = 100 centimetre so, 225 metre = 22500 centimetres.

•     Example

            Convert 3445 centimetres into metres.

            (a) 32.45m                                                         (b) 34.45 m      

            (c) 30.45 m                                                        (d) All the above

            (e) All of these

Ans.     (b)

            Explanation: 3445 centimetres = \[\frac{3445}{100}\] metres = 34.45 metres.

Conversion of Kilometres and Metres

Following are the steps for the conversion of kilometres into metres.

Step 1: Convert kilometres into metres by multiplying the number of kilometres by 1,000 (1 km = 1,000 metres).

Step 2: Convert the kilometres and metres into metres by multiplying the number of kilometres by 1,000 and then add the number of metres.

•     Example

Convert 6 km 340 m in centimetres.

            (a) 657800cm                                                     (b) 625000cm

            (b) 634000cm                                                     (d) All the above

            (e) None of these

Ans.     (c)

            Explanation: 6 km 340 m = 6340 m = 634000 cm.

•     Example

Add the following: 45 km 500 m + 569 cm + 3468 mm.

            (a) 5509.158 metres                                            (b) 45590.35 metres

            (c) 46509.25 metres                                            (d) 55509.45 metres

            (e) None of these

Ans.     (a)

            Explanation: 45 km 500 m + 569 cm + 3468 mm = 45500m + 5.69 m + 3.468 m = 45509.158 metres

Addition of two Masses

Following are the steps for the addition of two or more masses.          

Step 1: Arrange the measured masses vertically kg under kg and grams under grams.

Step 2: Add them by simple addition method starting from right.

Step 3: If carry is generated then add generated carry to the next addition.

•      Example

52 kg 760 grams and 42 kg 700 grams.

            (a) 85 kg 700 grams                                            (b) 95 kg 460 grams

            (c) 70 kg 200 grams                                             (d) 115 kg 100 grams

            (e) None of these

Ans.     (b)

            Explanation: 52 kg 760 grams + 42 kg 700 grams = 95 kg 460 grams.

•     Example

Calculate the total weight of the given goods:

            (a) 9 kg 860 grams                                              (b) 10 kg 890 grams

            (c) 8 kg 400 grams                                              (d) 7 kg 200 grams

            (e) None of these

Ans.     (c)

            Explanation: Total weight = 500 grams + 1 kg 200 grams + 6 kg 700 gm 8 kg 400 grams.