Measurement: Unit Conversions

Mastering the Methods and Techniques for Accurate Unit Conversions

CAPS Grade 10 Mathematical Literacy

This document serves as a comprehensive guide to the unit conversions required in Grade 10 Mathematical Literacy. It outlines the methods and techniques necessary for accurately converting between various units, including metric measurements, temperature, cooking measures, time, and imperial units.

1. The Metric "Ladder" Method

To a SMALLER unit

Multiply by 10, 100, or 1,000

Example: 1 m = 100 cm (multiply by 100)

To a BIGGER unit

Divide by 10, 100, or 1,000

Example: 1,000 g = 1 kg (divide by 1,000)

Example

Convert 5.5 kilometers to meters.

Since 1 kilometer = 1,000 meters, 5.5 km = 5.5 � 1,000 = 5,500 m

Test Yourself: Metric Ladder Method

3 Questions

1 To convert from meters to centimeters, you should:

Multiply by 10

Multiply by 100

Divide by 10

Divide by 100

2 3.5 kilometers = ______ meters

35 m

350 m

3500 m

35000 m

3 750 grams = ______ kilograms

0.075 kg

0.75 kg

7.5 kg

75 kg

0/3

2. Temperature Conversions

Celsius to Fahrenheit

Formula

F = (9/5 � C) + 32

Fahrenheit to Celsius

Formula

C = 5/9 � (F - 32)

Example

Convert 25 degrees Celsius to Fahrenheit.

F = (9/5 � 25) + 32 = 45 + 32 = 77�F

Test Yourself: Temperature Conversions

3 Questions

1 0�C = ______ �F

0�F

32�F

100�F

212�F

2 100�C = ______ �F

32�F

100�F

180�F

212�F

3 98.6�F = ______ �C (body temperature)

32�C

37�C

100�C

212�C

0/3

3. Cooking and Household Conversions

Standard Cup

250 ml

Tablespoon (tbsp)

15 ml

Teaspoon (tsp)

5 ml

Cooking Conversion Calculator

Cups:

Milliliters (ml):

Tablespoons:

Milliliters (ml):

Teaspoons:

Milliliters (ml):

4. Time Conversions

Hours to Minutes

Multiply by 60

Minutes to Seconds

Multiply by 60

Important Note: Understanding that 2.5 hours is 2 hours and 30 minutes (not 2 hours and 50 minutes) is crucial for accuracy.

Test Yourself: Time Conversions

3 Questions

1 3 hours = ______ minutes

180 minutes

300 minutes

30 minutes

360 minutes

2 1.5 hours = ______ minutes

150 minutes

90 minutes

60 minutes

100 minutes

3 2.25 hours = ______ minutes

225 minutes

135 minutes

120 minutes

250 minutes

0/3

5. Using Conversion Factors (The Ratio Method)

Rule

Important

To convert from the left side to the right side: Multiply by the conversion factor.

To convert back: Divide by the conversion factor.

Common Exam Trap: Always check your units before performing addition or subtraction. If a question asks for a total in a specific unit, ensure all values are converted to that unit first.

Imperial Conversions Practice

5 miles = ______ km (1 mile = 1.609 km)

Hint: Multiply by the conversion factor

Final Assessment: Unit Conversions Mastery

8 Questions

1 4.2 km = ______ m

42 m

420 m

4200 m

42000 m

2 30�C = ______ �F

54�F

68�F

86�F

95�F

3 How many tablespoons in 1 cup? (1 cup = 250 ml, 1 tbsp = 15 ml)

10 tbsp

12.5 tbsp

16.67 tbsp

20 tbsp

4 2.75 hours = ______ minutes

275 minutes

165 minutes

150 minutes

120 minutes

5 10 miles = ______ km (1 mile = 1.609 km)

6.214 km

12.45 km

16.09 km

160.9 km

6 450 ml = ______ cups (1 cup = 250 ml)

1.2 cups

1.8 cups

2.25 cups

2.5 cups

7 68�F = ______ �C

10�C

20�C

30�C

40�C

8 3.25 kg = ______ g

325 g

3250 g

32500 g

0.325 g

0/8

Conclusion

Mastering unit conversions is a vital skill in Grade 10 Mathematical Literacy. By understanding and applying the methods outlined in this document, students can confidently tackle conversion problems in exams and real-life situations. Remember to practice regularly and refer back to these guidelines as needed to reinforce your understanding.