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### Grade 5 - Mathematics6.18 Adding and Subtracting with Different Units

 Mathematical operations are carried out in the same way as normal decimal number operations. Note, that the quantities involved in the calculations are all expressed in the same units. Examples: 19 cm + 23 m + 25.9 m First convert everything to the same units: 19 cm = 0.19 meters 0.19 m + 23 m + 25.9 m = 49.09 m Another way is to convert everything to centimeters and perform addition operation 23 m = 1300 cm 25.9 m = 1590 cm 19 cm + 2 300 cm + 2 590 cm = 4 909 cm Final answer is expressed in meters as: 49.09 m A rope is 3 metres long. You cut 100 cms out of it. How many metres of the rope are remaining? 1 metre = 100 cms Hence 3 m - 1m = 2m Answer: 2 m Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: Your school is 1 km east of your home and the library is 500 m east of the school? How far is the library from your home?1.5 km500 m1.500 m1 km Q 2: Subtract: 21 ft 4 in - 15 ft 9 in =7 ft 5 in5 ft 7 in5 ft 5 in Q 3: Add: 2 l 68 ml + 27 ml = (hint: 2.68 + 0.027=)2.007 liters2.007 liters2.707 liters Q 4: Add: 1 ft 3 in + 2 ft 4 in =2 ft 6 in3 ft 7 in12 ft in Q 5: John weighs 33.5 kg with his shoes on. His shoes weigh 325 grams. How much does he weight without his shoes?32.675 kgInsufficient information33 kg and 325 grams33.175 kg Q 6: When you add or subtract lengths that are in different units you need to regroup them.FalseTrue Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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