Table of contents | |
Introduction | |
Converting Units of Measurement | |
Converting Money | |
Converting Fractions | |
Solved Examples | |
Conclusion |
Imagine following a recipe that uses cups, but your measuring tool shows grams, or travelling to another country and needing to convert your currency. Conversions help us compare, measure, and calculate across different units and formats. In this chapter, we’ll explore three main types of conversions:
We measure things using units for length, weight, volume, and time.Sometimes, we need to convert one unit to another to make it easier to compare values. Let’s explore these with examples.
Example: Ravi walks 2.5 kilometres every morning. How many meters does he walk?
Ans:Ravi walks 2,500 meters every morning.
Explanation:
We know that 1 kilometer is equal to 1,000 meters.
To convert kilometers to meters, we multiply the number of kilometers by 1,000.Calculation:
2.5km×1,000=2,500m
Example:A pencil measures 18 centimeters. What is its length in meters?
Ans: The pencil is 0.18 meters long.
Explanation:
We know that 1 meter is equal to 100 centimeters.
To convert centimeters to meters, we divide the number of centimeters by 100.
Calculation:
18cm÷100=0.18m
Example: A bag of sugar weighs 4.5 kilograms. How many grams is that?
Ans: The bag weighs 4,500 grams.
Explanation:
We know that 1 kilogram is equal to 1,000 grams.
To convert kilograms to grams, we multiply the number of kilograms by 1,000.Calculation:
4.5kg×1,000=4,500g
Example: Riya’s cat weighs 8 pounds. How many ounces is that?
Ans:The cat weighs 128 ounces.
Explanation:
We know that1 pound is equal to 16 ounces.
To convert pounds to ounces, we multiply the number of pounds by 16.Calculation:
8lb×16=128oz
Example: A movie lasts 2 hours and 15 minutes. How many minutes is that?
Ans: The movie is 135 minutes long.
Explanation:
We know that 1 hour is equal to 60 minutes.
To convert hours and minutes into just minutes, we first multiply the number of hours by 60 and then add the remaining minutes.Calculation:
(2hours × 60) + 15minutes = 135minutes
Example: If you exercise for 540 seconds, how many minutes is that?
Ans: Your workout lasts 9 minutes.
Explanation:
We know that 1 minute is equal to 60 seconds.
To convert seconds to minutes, we divide the number of seconds by 60.Calculation:
540seconds÷60=9minutes
Currency conversion helps us when we travel or shop internationally.Let’s learn how to convert between currencies and smaller denominations.
Currencies have different values, and exchange rates show how much one currency is worth compared to another.
Example 1: If 1 USD = 83 INR, how many rupees will you get for 50 USD?
Ans: 50 USD equals 4,150 INR.
Explanation:
To convert USD to INR, multiply the number of USD by the conversion rate (1 USD = 83 INR).
Calculation:
50USD×83INR=4,150INR
Example: Lina visits the UK with 2,000 INR. If 1 GBP = 100 INR, how many pounds will she get?
Ans: Lina will get 20 GBP.
Explanation:
To convert INR to GBP, divide the number of INR by the conversion rate (1 GBP = 100 INR).
Calculation:
2,000INR÷100INR/GBP=20GBP
In many currencies, smaller units combine to make larger ones (like 100 paise = 1 rupee).
Example: You have 275 paise. How many rupees is that?
Ans: 275 paise equals 2.75 rupees.
Explanation:
We know that 1 rupee equals 100 paise.
To convert paise to rupees, divide the number of paise by 100.Calculation:
275paise÷100=2.75rupees
Example: A toy costs 350 cents. How many dollars is that?
Ans: The toy costs 3.5 dollars.
Explanation:
We know that 1 dollar equals 100 cents.
To convert cents to dollars, divide the number of cents by 100.
Calculation:
350cents÷100=3.5dollars
Fractions represent parts of a whole. We often convert them to decimals, percentages, or mixed numbers.
To convert a fraction to a decimal, divide the numerator by the denominator.
Example 1: Convert 1/5 to a decimal.
Ans: 1/5 equals 0.2.
Explanation:
To convert a fraction to a decimal, divide the numerator by the denominator.
Calculation:
1/5 =1÷5=0.2
Example 2: Convert 7/8 to a decimal.
Ans: 7/8 equals 0.875.
Explanation:
To convert a fraction to a decimal, divide the numerator by the denominator.
Calculation:
7/8 =7÷8=0.875
To convert a fraction to a percentage, multiply it by 100 and add the % symbol.
Example 1: Convert 3/5 to a percentage.
Ans:
3/5 equals 60%.
Explanation:
To convert a fraction to a percentage, multiply the fraction by 100.
Calculation:
3/5×100=60%
Example 2: Convert 2/3 to a percentage.
Ans: 2/3 equals 66.67%.
Explanation:
To convert a fraction to a percentage, multiply the fraction by 100.
Calculation:
2/3×100=66.67%
Improper fractions have numerators larger than denominators. To convert them into mixed numbers, divide the numerator by the denominator.
Example 1: Convert 9/4to a mixed number.
Ans: 9/4 is 2 whole and 1/4.
Explanation:
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder over the original denominator becomes the fractional part.
Calculation:
9/4=2 whole 1/4
Example 2: Convert 11/3 to a mixed number.
Ans: 11/33 is 3 whole and 2/3.
Explanation:
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator becomes the fractional part.Calculation:
11/3=3 whole2/3
Unit Conversion:
Convert 6.8 kilometers to meters.
6.8 km×1,000=6,800 m
Currency Conversion:
If 1 EUR = 90 INR, how much is 30 EUR in INR?
30×90=2,700 INR
Fraction to Decimal:
Convert 5/8 to a decimal.
5÷8=0.625
Mixed Number Conversion:
Convert 13/5 into a mixed number.
13/5=2 whole 3/5
Conversions are essential foreveryday tasks—whether you’re measuring ingredients, traveling abroad, or solving math problems. Understanding how to switch between units, currencies, and fractions makes life easier. With practice, these conversions will become second nature and a valuable skill in everyday life!
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1. What is the importance of converting units of measurement in everyday life? |
2. How do I convert money from one currency to another? |
3. What are some common methods to convert fractions? |
4. Can you provide examples of practice problems for unit conversion? |
5. How can I improve my skills in conversions for exams like the Olympiad? |
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