Question

use a tape - diagram to model each problem. solve using a simplifying strategy or an algorithm, and write your answer as a statement.

1. the length of celias garden is 15 m 24 cm. the length of her friends garden is 2 m 98 cm more than celias. what is the length of her friends garden?
2. sylvia ran 3 km 290 m in the morning. then, she ran some more in the evening. if she ran a total of 10 km, how far did sylvia run in the evening?
3. jennys sprinting distance was 356 meters shorter than tylers. tyler sprinted a distance of 1 km 3 m. how many meters did jenny sprint?
4. the electrician had 7 m 23 cm of electrical wire. he used 551 cm for one wiring project. how many centimeters of wire does he have left?

Explanation:

4.

Step1: Convert meters to centimeters

1 m = 100 cm, so 15 m 24 cm = 15×100 + 24 = 1524 cm.

Step2: Calculate the length of her friend's garden

Her friend's garden is 1524+98 = 1622 cm.

Step1: Convert kilometers to meters

1 km = 1000 m, so 3 km 290 m = 3×1000+290 = 3290 m.

Step2: Calculate the distance run in the evening

She ran 3290 - 10000 (10 km = 10000 m) = - 6710 m. This is wrong, we should do 10000 - 3290 = 6710 m.

Step1: Convert kilometers to meters

1 km = 1000 m, so 1 km 3 m = 1×1000+3 = 1003 m.

Step2: Calculate the distance Jenny sprinted

Jenny sprinted 1003 - 356 = 647 m.

Answer:

1622 cm

5.