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Grade 5 - Mathematics
6.18 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:

  1. 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

  2. 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?
500 m
1.5 km
1.500 m
1 km

Q 2: When you add or subtract lengths that are in different units you need to regroup them.
True
False

Q 3: Subtract: 21 ft 4 in - 15 ft 9 in =
5 ft 7 in
5 ft 5 in
7 ft 5 in

Q 4: At Subway, you bought 6'' sandwich and your dad bought 1 foot sandwich. How many inches sandwich did you both buy together?
16 inches
18 inches
1.8 ft
1.6 ft

Q 5: One fruit roll up is 2 ft long. You ate 1 ft 2 inches of it. How much is left?
10 in
1 ft
12 in
2 in

Q 6: John weighs 33.5 kg with his shoes on. His shoes weigh 325 grams. How much does he weight without his shoes?
32.675 kg
33 kg and 325 grams
33.175 kg
Insufficient information

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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