Lesson 5 Metric Word Problems

After this lesson you will be able to: Solve addition multi-step word problems involving metric length, mass, and capacity. Solve subtraction multi-step word problems involving metric length, mass, and capacity. Please open your math books to page 18.

Problem # 2 Adele let out 18 meters 46 centimeters of string to fly her kite.  She then let out 13 meters 78 centimeters more before reeling back in 590 centimeters. How long was her string after reeling it in?

Problem # 2 Adele let out 18 meters 46 centimeters of string to fly her kite.  She then let out 13 meters 78 centimeters more before reeling back in 590 centimeters. How long was her string after reeling it in? What do we need to solve?

Problem # 2 Adele let out 18 meters 46 centimeters of string to fly her kite.  She then let out 13 meters 78 centimeters more before reeling back in 590 centimeters. How long was her string after reeling it in? What do we need to solve? We need to find out how much string is left after reeling in the 590 centimeters.

Problem # 2 Adele let out 18 meters 46 centimeters of string to fly her kite.  She then let out 13 meters 78 centimeters more before reeling back in 590 centimeters. How long was her string after reeling it in? What do we need to solve? We need to find out how much string is left after reeling in the 590 centimeters. Let’s make a tape diagram.

Problem # 2 18 m 46 cm 13 m 78 cm 590 cm

Problem # 2 18 m 46 cm 13 m 78 cm 590 cm Let’s solve this problem by subtracting 590 cm from 13 m 78 cm and then adding it to 18 m 46 cm.

13 m 78 cm - 590 cm Problem # 2 First we need to convert 13 m into cm. Remember 1 m = 100 cm.

Problem # 2 1,378 cm - 590 cm Try solving this on page 18.

Did you get? 1,378 cm - 590 cm 788 cm 12 13 17

Problem # 2 18 m 46 cm 788 cm Now we need to add the two lengths together.

Problem # 2 18 m 46 cm + 788 cm We need to convert 18 m into cm. Remember 1 m = 100 cm.

Problem # 2 1,846 cm + 788 cm Solve the problem on page 18.

Problem # 2 1,846 cm + 788 cm 2,634 cm 1 1 1

Adele’s string was 2,634 cm long after she reeled it in. Problem # 2 Adele’s string was 2,634 cm long after she reeled it in.

Problem # 4 On Thursday, the pizzeria used 2 kilograms 180 grams less flour than they used on Friday. On Friday, they used 12 kilograms 240 grams. On Saturday, they used 1,888 grams more than on Friday. What was the total amount used over the three days? What do we need to solve for? We need to find the amount of flour used on Thursday and Saturday and add them together with Friday.

Problem # 4 On Thursday, the pizzeria used 2 kilograms 180 grams less flour than they used on Friday. On Friday, they used 12 kilograms 240 grams. On Saturday, they used 1,888 grams more than on Friday. What was the total amount used over the three days? What do we need to solve for? We need to find the amount of flour used on Thursday and Saturday and add them together with Friday. Let’s make a tape diagram.

Problem # 4 R F Thursday 2 kg 180 g 12 kilograms 240 grams Friday Saturday 1,888 g

Let’s solve for Thursday 2 kg 180 g 12 kg 240 g Friday We need to subtract 2 kg 180 g from 12 kg 240 g.

Let’s solve for Thursday 12 kg 240 g - 2 kg 180 g Solve on your own on page 19.

Did you get? 12 kg 240 g - 2 kg 180 g 10 kg 060 g 1 14

Problem # 4 F 10 kg 060 g Thursday 12 kilograms 240 grams Now we need to find Saturday Friday F Saturday 1,888 g

Let’s Find Saturday We need to add 12 kg 240 g to 1,888 g. 12 kilograms 240 grams Friday Saturday 1,888 g We need to add 12 kg 240 g to 1,888 g.

Problem # 4 12 kg 240 g + 1,888 g We change 12 kg into g.

Problem # 4 12,240 g + 1,888 g 12 kg = 12,000 g

Problem # 4 12,240 g + 1,888 g 14,128 g 1 1

Problem # 4 F 10 kg 060 g Thursday Now we need to add them together. 12 kilograms 240 grams Friday F 14,128 g Saturday

Problem # 4 10 kg 060 g 12 kg 240 g + 14,128 g We need to convert 14,128 g into kg and g.

Problem # 4 10 kg 060 g 12 kg 240 g + 14 kg 128 g 14,000 g = 14 kg

Problem # 4 10 kg 060 g 12 kg 240 g + 14 kg 128 g Solve on your own

Problem # 4 10 kg 060 g 12 kg 240 g + 14 kg 128 g 36 kg 428 g 1

Problem # 4 The total amount of flour used over the past three days was 36 kg 428 g

Complete problems 5 and 6 on page 19. Your Turn Complete problems 5 and 6 on page 19.