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3 In algebra, ‘of’ refers to multiplication. It helps us find the part of a number in various contexts, such as fractions, percentages, and ratios. In this article, we will learn more about the use of ‘of’ in algebra and word problems.

4 <h2>What Does 'of' Mean in Algebra?</h2>

5 What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

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7 The word ‘of’ in<a></a><a>algebra</a>is used in<a>expressions</a>involving<a></a><a>fractions</a>,<a>ratios</a>, and percentages. It is used to find a part of something. The word ‘of’ refers to multiplying<a>numbers</a>. The word ‘of’ in algebra indicates<a>multiplication</a>.

8 Example: $\frac{1}{2}$ of 10.

9 $\frac{1}{2}$ of 10 means multiplying $\frac{1}{2}$ by 10.

10 $\frac{1}{2}$ × 10 = 5.

11 <h2>Context of ‘of’ in Word Problems</h2>

12 In word problems, the word ‘of’ indicates that multiplication is required to find part of a quantity. It is used to find the part of a<a>whole</a>.

13 Example 1:Emilin read $\frac{3}{5}$ of a 20-page book. Calculate the total number of pages Emilin read.

14 Here, the $\frac{3}{5}$ of 20 refers to $\frac{3}{5} × 20 = (3 × 20) ÷ 5 = 60 ÷ 5 = 12.$

15 Example 2:Lilly has 60 chocolates, and she gave 1/3 of them to her friend. How many chocolates did Lilly give to her friend? Lilly gave $\frac{1}{3}$ of 60 chocolates to her friend, so $\frac{1}{3} × 60 = 20. \frac{1}{3} × 60 = 60 ÷ 3 = 20$

16 Therefore, Lilly gave 20 chocolates to her friend.

17 Example 3: A pizza was divided into 8 equal slices. Maria ate $\frac{3}{8}$of the pizza. How many slices did she eat?

18 $\frac{3}{8}$ of 8 = $\frac{3}{8} \times 8$ $= \frac{3 \times 8}{8} $ $= \frac{24}{8} = 3$

19 Answer: Maria ate 3 slices.

20 Example 4: A toy costs $50. Sarah gets a<a>discount</a>of $\frac{2}{5}$ of the price. How much<a>money</a>does she save?

21 $\frac{2}{5} $ of $50$ $= \frac{2}{5} \times{50}$ $= \frac{2 \times 50}{5} $ $= \frac{100}{5} = 20$

22 Sarah saves 20 dollars.

23 Example 5: A runner completed $\frac{7}{10}$ of a 50 km marathon. How many kilometers did the runner complete?

24 $\frac{7}{10}$ of 50 $= \frac{7}{10} \times 50 = $ $\frac{7 \times 50}{10} $ $= \frac{350}{10} = 60 $

25 John have 60 candies.

26 <h2>Real World Percentage Scenarios</h2>

27 Given below are some real world scenarios involving percentages that show how 'of' is used in algebra.

28 1. Shopping discounts

29 A jacket costs $80. The store offers a 25% discount. How much money do you save?

30 Explanation: “25% of 80” means: $\frac{25}{100} \times 80 = 20$

31 you save 20 dollars

32 2. Exam Scores

33 Lisa scored 80% of 50<a>questions</a>correctly in a<a>math</a>test. How many questions did she answer correctly?

34 Explanation: “80% of 50” means: $\frac{80}{100} \times 50 = 40$

35 Lisa answered 40 questions correctly.

36 3. Salary Increase

37 Raj’s salary is $2,000 per month. He received a 10% raise. How much is the raise?

38 Explanation: “10% of 2000” means: $\frac{10}{100} \times 2000 = 200$

39 4. Population Growth

40 A town has 5,000 people. Its population increases by 6% this year. How many people were added?

41 Explanation: “6% of 5000” means: $\frac{6}{100} \times 5000 = 300$

42 The town gained 300 people.

43 5. Sale of fruits

44 A basket contains 60 apples. 15% of them are rotten. How many apples are rotten?

45 Explanation: “15% of 60” means: $\frac {15}{100} \times 60 = 9$

46 9 apples are rotten.

47 <h2>Jaskaran Singh Saluja</h2>

48 <h3>About the Author</h3>

49 Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

50 <h3>Fun Fact</h3>

51 : He loves to play the quiz with kids through algebra to make kids love it.