Students who want to compete at the national and international levels should enroll in Math Olympiad Class 4. Previous exam questions from the class 4 Math Olympiad will aid students in honing and improving their problem-solving abilities. Students may feel confident in their ability to respond to several questions in this class 4 mathematics Olympiad. These class 4 IMO questions are MCQ-based and ask students to use both logical and mathematical reasoning. It is acceptable to practice various question types that might not be included in school textbooks. IMO Class 4 Chapter 4 Fraction
Even administering these Olympiad tests encourages self-learning and motivates students to perform better on their schoolwork.
IMO Class 4 Chapter 4: Fraction Detailed Notes
Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects can be the whole. When we cut a piece of cake in real life from the entire cake, the portion represents the fraction of the cake. The word “fraction” is derived from Latin. “Fractus” means “broken” in Latin. The fraction was expressed verbally in earlier times. It was later presented in numerical form.
A portion or section of any quantity is another name for the fraction. It is indicated by the symbol “/,” such as a/b. For instance, in the fraction 2/4, the lower part represents the denominator and the upper part the numerator. The definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and numerous examples with fully explicated solutions are all covered in this article.
What are Fractions?
Definition 1: A fraction is a unit of measurement that identifies the components of a whole.
Definition 2: A fraction is a number that symbolizes a portion of a whole, according to definition 2.
In general, the whole can be any particular thing or value, and the fraction can be a portion of any quantity out of it.
The top and bottom numbers of a fraction are explained by the fundamentals of fractions. The bottom number represents the total number of parts, while the top number represents the number of chosen or shaded portions of the whole.
Fractions are essential to our daily lives. You will encounter fractions frequently in everyday life. Whether we want to or not, we have to share that delicious pizza with our loved ones. Four slices for three people. It will be more enjoyable and exciting if you can easily learn and visualize fractions. For instance, if you divide an apple into two pieces, each piece will represent a fraction (equal to 1/2).
Parts of Fractions
- There are two components to fractions: a numerator and a denominator.
- The numerator, or upper portion of the fraction, denotes the various parts of the fraction.
- The lower or bottom portion, known as the denominator, represents all of the components into which the fraction is divided.
- For instance, if 3/4 is a fraction, the numerator is 3 and the denominator is 4.
Properties of fractions
A fractional number has some of the same significant properties as real numbers and whole numbers. As follows:
- Fractional addition and multiplication are consistent with commutative and associative properties.
- Fractional addition’s identity element is 0 and fractional multiplication’s identity element is 1.
- B/a is the multiplicative inverse of a/b, where a and b are elements that should not be zero.
- The distributive property of multiplication over addition is observed in fractional numbers.
Fractions are further broken down into various types based on the characteristics of the numerator and denominator. As follows:
- Proper fractions
- Improper fractions
- Mixed fractions
- Like fractions
- Unlike fractions
- Equivalent fractions
Importance of IMO
The Math Olympiad also referred to as the International Maths Olympiad (IMO), is a very helpful test for students who want to get better at math. It guarantees accurate calculations in the shortest amount of time. It presents challenging and difficult questions to the class. They gain the self-assurance needed to get over their fear of numbers. They become flawless in a variety of concepts, including trigonometry, algebra, measurements, theorems, and data handling, among others. One of the competitions that benefit students the most by uniting them on one platform is this one. It cultivates in young minds the skills of analytical thinking and problem-solving. Children’s strengths and weaknesses are revealed by practicing a variety of problems from Math Olympiads. It gives more insight into the areas that need more practice.
Also Read: How to prepare for Olympiads?
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