Addition and Subtraction of Units of Measurement

We will learn Addition and Subtraction of Units of Measurement. 

Addition and subtraction of metric measures can be done as we add and subtract ordinary numbers taking into account the place value of each metric measurement.

We can add the units of measurement like decimal numbers. 


Addition of Units of Measurement:

1. Add 5 m 9 dm and 11 m and 5 dm

Solution:

5 m 9 dm = 5.9 m

11 m 5 dm = 11.5 m

Addition of Length

Hence, 5 m 9 dm + 11 m 5 dm

        = 17 m 4 dm or 17.4 m

2. Add 15 cm 5 mm and 21 cm 9 mm

Solution:

15 cm 5 mm = 15.5 cm

21 cm 9 mm = 21.9 cm

Addition Length

Hence, 15 cm 5 mm + 21 cm 9 mm

        = 37 cm 4 mm or 37.4 cm


3. Add 67 km 250 m and 84 km 720 m

Solution:

67 km 250 m = 67.250 km

84 km 720 m = 84.720 km

Length Addition

Hence, 67 km 250 m + 84 km 720 m

       = 151 km 970 m or 151.97 km


We can add lengths like ordinary numbers.

3. Add 24 km 250 m and 140 km 18 m

Solution:

24 km 250 m = 24.250 km

140 km 18 m = 140.018 km

Addition of Lengths

Hence, 24 km 250 m + 140 km 18 m

       = 164 km 268 m or 164.268 km


More problems on Addition of Units of Length

4. Add 65 km 146 m and 29 km 950 m.

Solution:

Write in column form and add

Add the meters

146 + 950 = 1096 m

1096 m = 1 km + 96 m

Write 96 under the meter column and carry over 1 km to km column.

Add kilometres 65 + 29 + 1 (carry over) = 95 km

Addition of Units of Length

Hence, 65 km 146 m + 29 km 950 m = 95 km 96 m


Addition of Metric Measurements:

5. Add 17 km 540 m; 12 km 800 m; 154 km 325 m

Solution:

Step I: Add metres

540 + 800 + 325 = 1665 m

= 1 km + 665 m

Step II: Write 665 under metres and carry 1 to km

Step III: Add kilometres

1 + 17 + 12 + 15 = 45 km

Step IV: Write 45 under kilometres.

Metric Addition

Therefore, the sum is 45 km 665 m.


Subtraction of Units of measurement:

We can subtract the units of measurement like decimal numbers.

1. Subtract 28 dg 7 mg from 90 dg

Solution:

28 dg 7 mg = 28.07 dg

90 dg = 90.00 dg

Subtraction Mass

Hence, 90.00 dg - 28.07 dg

       = 61 dg 93 mg or 61.93 dg


2. Subtract 185 l 560 ml and 200 l 120 ml

Solution:

185 l 560 ml = 185.560 l

200 l 120 ml = 200.120 l

Subtraction of Volumes

Hence, 200 l 120 ml - 185 l 560 ml

       = 14 l 660 ml or 14.660 l


3. Subtract 25 km 340 m from 61 km 180 m

Solution:

Write in column form and subtract.

As we cannot subtract 340 m from 180 m, we borrow 1 km from 61 km. So 61 km becomes 60 km and 180 m becomes 1 km = 1000 m + 180 m = 1180 m.

Now, subtract 340 km from 1180 m.

1180 – 340 = 840

Subtraction of Units of Length

Subtract km 60 – 25 = 35


Subtraction of Metric Measurements:

4. Subtract 27 kg 100 g – 15 kg 400 g

Solution:

Step I: 400 g cannot be subtracted from 100 g.

Step II: Borrow 1 kg from 27 kg

1 kg = 1000 g. 1000 g + 100 g = 1100 g

Step III: Subtract grams

1100 – 400 = 700 g

Step IV: Write 700 under grams.

Step V: Now 27 – 1 = 26 remains under kg.

Step VI: Subtract kilograms.

26 – 15 = 11 kg

Step VII: Write 11 under kilograms.

Metric Add

Therefore, the difference is 11 kg 700 g.


5. The height of building X is 6314 cm and that of building Y is 229 cm less. What is the height of building Y?

Solution:

The height of building X = 6314 cm = 63.14 m

The height of building Y is 229 cm less than building X.

Therefore, the height of building Y = 63.14 m - 2.29 m

Hence, the height of building Y = 60.85 m


Questions and Answers on Addition of Units of Length:

1. Add the given measurements:

(i) 46 m 23 cm + 8 m 95 cm

(ii) 13 km 547 m + 16 km 485 m

(iii) 24 dm 03 cm + 15 dm 01 cm

(iv) 6 km 920 m + 34 km 285 m

(v) 13 km 765 m + 24 km 880 m

(vi) 56 m 09 cm + 16 m 25 cm

(vii) 43 m 04 cm + 27 m 03 cm

(viii) 23 cm 02 mm + 16 cm 03 mm

(ix) 36 cm 00 mm + 8 cm 09 mm

 

Answers:

I. (i) 55 m 18 cm

(ii) 30 km 32 m

(iii) 39 dm 04 cm

(iv) 41 km 205 m

(v) 38 km 645 m

(vi) 72 m 34 cm

(vii) 70 m 07 cm

(viii) 39 cm 05 mm

(ix) 44 cm 09 mm


II. Add the following:

(i) 16 km 528 m + 1 km 325 m + 13 km 502 m

(ii) 25 km 252 m + 10 km 384 m + 31 km 420 m

(iii) 1 km 012 m + 3 km 264 m + 5 km 346 m

(vi) 2 kg 340 g + 3 kg 054 g + 8 kg 714 g

(v) 2 kl 190 l + 3 kl 705 l + 1 kl 784 l

(vi) 1 l 123 ml + 2 l 234 ml +  3 l 545 ml


Answer:

II. (i) 31 km 355 m

(ii) 67 km 56 m

(iii) 9 km 622 m

(vi) 14 kg 108 g

(v) 7 kl 679 l 

(vi) 6 l 902 ml


Questions and Answers on Subtraction of Units of Length:

III. Subtract the given measurements:

(i) 34 m 15 cm – 12 m 10 cm

(ii) 26 km 803 m – 19 km 450 m

(iii) 57 dm 08 cm – 15 dm 09 cm

(iv) 61 km 250 m – 45 km 300 m

(v) 9 m 46 cm – 7 m 96 cm

(vi) 8560 m 00 cm – 7789 m 00 cm

(vii) 63 cm 03 mm – 12 cm 02 mm

(viii) 72 m 06 cm – 35 m 21 cm

(ix) 50 km 000 m – 44 km 390 m

 

Answers:

III. (i) 22 m 05 cm

(ii) 7 km 353 m

(iii) 41 dm 99 cm

(iv) 15 km 950 m 

(v) 1 m 50 cm

(vi) 771 m 00 cm

(vii) 51 cm 01 mm

(viii) 36 m 85 cm

(ix) 5 km 610 m


IV. Subtract the following:

(i) 305 km 296 m – 198 km 485 m

(ii) 74 m 19 cm – 69 m 28 cm

(iii) 25 l 640 ml – 13 l 099 ml

(iv) 15 kg 240 gm – 8 kg 956 gm

(v) 130 km 500 m 75 cm – 65 km 436 m 89 cm

(vi) 12 l 5 dl 6 cl – 9 l 8 dl 9 cl


Answer:

IV. (i) 106 km 811 m

(ii) 4 m 91 cm

(iii) 12 l 541 ml 

(iv) 6 kg 284 gm

(v) 65 km 63 m 86 cm

(vi) 2 l 6 dl 7 cl

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