## Introduction

In this topic we students will solve the word problems based on;

**Customary Units of Capacity****Customary Units of Length****Customary Units of Weight****Metric Units of Mass****Metric Units of Capacity****Metric Units of Length****Units of Time**

### Conversion between the units of measurement

To convert from one unit of **measurement** to another unit, we need to multiply or divide

### Word Problems: based on conversion between the same Unit.

We every day use multiple real life examples based on conversion, Lets take some of them and expand the understanding of the concept.

**Example: **

Rick has only 2 hour and 44 minutes until he needs to leave. He wants to watch a movie that goes for 158 minutes. Does he have enough time to watch the whole movie before he has to leave?

**Solution: **

2 hour and 44 minutes = 120 minutes + 44 minutes

= 164 minutes

**Example: **

A packing box can hold up to 15 lbs. If Jack puts 9 lbs and 12 oz of clothes in the box, how much more weight can the packing box hold?

**Solution: **

15 lbs – 9 lbs 12 oz = 14 lbs 16 oz – 9 lbs 12 oz

= 5 lbs 4 oz

**Example: **

Each piece of plywood is 12 mm thick. A stack of 139 pieces of plywood is about __________ meters high.

**Solution: **

12 × 139 = 1,668 mm

**John bought 27.5 m of cloth. How many cm of cloth did he buy?**

Solution: –

1 m = 100 cm

Now, 27.5 m = 27.5 × 100

= **2750 cm**

**Convert a distance of 20 km to metres.**

Solution: –

1 km = 1000 m

Now, 20 km = 20 × 1000 m

= **20,000 m**

**Tom’s weight is 45000 g. What is his weight in kg?**

Solution: –

1000g = 1 kg or 1 g = 1/1000kg

Now, 45000 g = **45 kg**

### Concept Map

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