Addition and Subtraction of Units of Measurement

We will learn Addition and Subtraction of Units of 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

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

4. 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) 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

Questions and Answers on Subtraction of Units of Length:

2. 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:

(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

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