# Fractions, Decimals And Approximations

## Overview

Understanding fractions, decimals, and approximations is essential in the field of General Mathematics as they form the basis of numerical operations and real-world applications. In this course material, we will delve into the concepts of fractions, decimals, and approximations in great detail to equip students with the necessary knowledge and skills.

Fractions and decimals play a crucial role in representing numbers that are not whole. Fractions represent a part of a whole, such as 1/2 representing half of something, while decimals provide a way to express fractions in a decimal form. By understanding how fractions and decimals work, students will be able to tackle complex mathematical problems with ease.

Performing basic operations on fractions and decimals is another fundamental aspect of this course material. Students will learn how to add, subtract, multiply, and divide fractions and decimals efficiently. These operations are essential in various mathematical computations and real-life scenarios, making them indispensable skills for students to acquire.

Applying fractions and decimals in real-life situations is a key objective of this course material. Students will explore how fractions and decimals are used in everyday life, such as in measuring ingredients for a recipe, calculating discounts during sales, or determining proportions in a construction project. By relating mathematical concepts to real-world contexts, students will appreciate the practical significance of fractions and decimals.

Furthermore, appreciating the importance of approximations and significant figures is crucial for students to develop a keen sense of precision in their calculations. In the real world, numbers are often approximated to simplify calculations or make sense of data. Understanding when and how to use approximations and significant figures is essential in fields such as science, engineering, and economics.

In conclusion, this course material on fractions, decimals, and approximations will provide students with a solid foundation in numerical concepts and operations. By mastering these topics, students will not only enhance their mathematical skills but also gain a deeper insight into the practical applications of mathematics in various aspects of life.

## Objectives

1. Appreciate the importance of approximations and significant figures
2. Perform basic operations on fractions and decimals
3. Apply fractions and decimals in real-life situations
4. Course Objectives: Understand the concept of fractions and decimals

## Lesson Note

Fractions represent parts of a whole. They are written in the form of a/b, where a is the numerator (the number of parts) and b is the denominator (the total number of equal parts the whole is divided into). For example, in the fraction 3/4, the numerator is 3, and the denominator is 4, which means we have 3 parts out of 4 equal parts of a whole.

## Lesson Evaluation

Congratulations on completing the lesson on Fractions, Decimals And Approximations. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

1. What is the decimal equivalent of the fraction 3/4? A. 0.75 B. 0.25 C. 0.5 D. 0.3 Answer: A. 0.75
2. Convert the decimal 0.625 to a fraction in simplest form. A. 5/8 B. 25/8 C. 25/4 D. 5/4 Answer: A. 5/8
3. Perform the operation 1/3 + 2/5 A. 1 B. 1/2 C. 7/15 D. 5/3 Answer: C. 7/15
4. What is the result of 0.6 * 0.25? A. 0.15 B. 0.025 C. 15 D. 0.015 Answer: A. 0.15
5. Simplify the expression 0.4 + 0.16 - 0.25 A. 0.44 B. 0.55 C. 0.35 D. 0.45 Answer: A. 0.44
6. Approximate the value of √7 to the nearest whole number. A. 2 B. 3 C. 4 D. 5 Answer: B. 3
7. If a recipe calls for 2/3 cup of sugar and you need to make 4 times the recipe, how many cups of sugar will you need? A. 8/3 cups B. 1 1/3 cups C. 2 2/3 cups D. 4 2/3 cups Answer: D. 4 2/3 cups
8. Which of the following numbers is closest to the value of π (pi)? A. 2 B. 3 C. 3.14 D. 3.5 Answer: C. 3.14
9. If you round 346.879 to the nearest whole number, what do you get? A. 346 B. 347 C. 350 D. 340 Answer: B. 347

## Past Questions

Wondering what past questions for this topic looks like? Here are a number of questions about Fractions, Decimals And Approximations from previous years

Question 1

Evaluate, correct to four significant figures, (573.06 x 184.25).

Question 1

Give the number of significant figures of the population of a town which has approximately 5,020,700 people

Question 1

A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?

Practice a number of Fractions, Decimals And Approximations past questions