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

You might like these

Adding and Subtracting Time | Operation on Measure of Time | US Time
We will learn how to addition and subtraction of units of time. 1. Add 25 minutes 45 seconds and 15 minutes 25 seconds. Solution: First add the seconds 45 + 25 = 70 seconds Convert 70 seconds into minutes and seconds 70 seconds = 60 seconds + 10 seconds Carry 1 minute to
Multiplication and Division of Units of Measurement | Metric System
We will learn how to multiply and divide of units of measurement. We carry out multiplication and division of measurements as we do for decimal numbers: 1. Multiply 12 km 56 m by 7. Solution: 12 km 56 m = 12.056 m Hence, 12.056 × 7 = 84.392 km 2. Multiply 44 dam 28 cm by 12
Worksheet on Word Problems on Measurement | 5th Grade Word Problem
Practice the questions given in the worksheet on word problems on measurement. 1. Rachel has a rope of length 40 m. She gave 12 m 53 cm to Sam, 18 m 35 cm to Ron and 9 m 7 cm to Jack. What length of rope is still left with Rachel?
Worksheet on Word Problem on Measuring Length | Length Word Problems
Practice the questions given in the worksheet on word problem on measuring length (i.e. addition and subtraction). Addition and subtraction in metres and centimetres is done in the similar
5th Grade Time Worksheet | Fifth Grade Time Worksheets | Elapsed Time
In 5th grade time worksheet, students can practice the questions on units for measuring time. The questions are based on convert the time, addition of time, subtraction of time, elapsed time, Word problems on time.
Elapsed Time | What is Elapsed Time? | Math Elapsed Time | 5th Grade
Sometimes we want to find out the duration of an activity. We can calculate the duration or time elapsed if we know the starting and finishing time. For example, if the bus starts at 9:00 a.m. and reaches the school at 9:30 a.m. the time taken by the bus to reach school is
Worksheet on Word Problems on Measurement of Time | Time Measurement
Practice the questions given in the worksheet on word problems on measurement of time. The questions are based on addition and subtraction of hours, minutes and seconds separately. 1. A bus leaves for Rampur at 4:30 p.m. It takes 1 hr. 25 min. to reach there.
Multiplication and Division of Time |Weeks|Days|Hours|Minutes|Seconds
We will learn how to multiplication and division of units of time. 1. Multiply 9 hours 10 minutes by 6 Solution: First multiply minutes 10 × 6 = 60 minutes = 1 hour We carry 1 hour to hour column and write 0 in minutes column. Now, multiply hours, 9 × 6 + 1 = 55 Write 55 in
Worksheet on Subtraction of Hours, Minutes and Seconds |Time Worksheet
Practice the questions given in the worksheet on subtraction of hours, minutes and seconds. Note: Here we need to subtract the hours, minutes and seconds separately. Find the difference of the following: 1. 84 hr. 37 min. 29 sec. - 4 hr. 29 min. 18 sec. 2. 3 hr. 28 min.
Worksheet on Addition of Hours, Minutes and Seconds | Time Worksheets
Practice the questions given in the worksheet on addition of hours, minutes and seconds. Note: Here we need to add the hours, minutes and seconds separately. Find the sum of the following: 1. 3 hr. 17 min. 24 sec. + 4 hr. 32 min. 14 sec. 2. 6 hr. 10 min. 31 sec.
Worksheet on Units of Time | Questions on Units for Measuring Time
In worksheet on units of time, all grade students can practice the questions on units for measuring time. This exercise sheet on units of time have different units like second, minute, hour, day, week, month and year that can be practiced by the students to get more ideas to
5th Grade Measurement Worksheet | K5 Learning | Metric Units | Answers
In 5th Grade Measurement Worksheet we will solve how to convert metric units, compare the measurements and word problems on measurements. I. Convert the following: (i) 1 kilogram = …. hectogram (ii) 1 hectogram = …decigram (iii) 1 centigram = …decameter (iv) 1 decimeter
Worksheet on Division of Metric Measures | Basic Metric Measurements
Practice the questions given in the worksheet on division of metric measures. Metric measures are divided in the same way as we divide ordinary numbers. I. Divide the following: (i) 6 g 9 dg 7 cg 5 mg by 3 (ii) 4 kl 2 hl 5 dal 4 l by 2 (iii) 7 l 3 dl 6 cl 5 ml by 5
Worksheet on Multiplication of Metric Measures |Word Problems |Answers
Practice the questions given in the worksheet on multiplication of metric measures. Metric measures are multiplied in the same way as we multiply ordinary numbers. I. Find the product of the following: (i) 5 kg 2 hg 7 dag 9 g × 3 (ii) 4 kl 3 hl 8 dal 7 l × 9
Worksheet on Addition and Subtraction of Units of Measurement |Answers
Worksheet on addition and subtraction of units of measurement we will solve different types of questions on mixed measurement. Here we will solve addition of lengths, addition of mass or addition of weights, addition of volumes, subtraction of lengths, subtraction of mass