# 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.

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

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

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

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

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 meters146 + 950 = 1096 m1096 m = 1 km + 96 mWrite 96 under the meter column and carry over 1 km to km column.Add kilometres 65 + 29 + 1 (carry over) = 95 km Hence, 65 km 146 m + 29 km 950 m = 95 km 96 m

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

Solution:

 Step I: Add metres540 + 800 + 325 = 1665 m= 1 km + 665 mStep II: Write 665 under metres and carry 1 to kmStep III: Add kilometres1 + 17 + 12 + 15 = 45 kmStep IV: Write 45 under kilometres. 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

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

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

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 kg1 kg = 1000 g. 1000 g + 100 g = 1100 gStep III: Subtract grams1100 – 400 = 700 gStep IV: Write 700 under grams.Step V: Now 27 – 1 = 26 remains under kg.Step VI: Subtract kilograms.26 – 15 = 11 kgStep VII: Write 11 under kilograms. 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

(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

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

(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

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

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

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