Eight Grade Math

 In the previous post we have discussed about Math for 8th graders and In today's session we are going to discuss about Eight Grade Math.


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In Eight Grade Math, we study different topics related to numbers. We come across the chapter of Rational numbers. In rational numbers, we study about how rational numbers are formed, their standard form, the positive and the negative rational numbers and how to express the series of rational numbers on a number line.

Further we also learn in Eight Grade Math, about how to compare two rational numbers and how to perform the mathematical operations on rational expressions. We study different properties of rational numbers too.

Here are some of the properties of rational numbers:

1. Closure Property: By closure property we mean that if we have two rational numbers, then sum, difference, product and quotient of two rational numbers is also a rational number.

2. While talking about the Commutative property of rational numbers, we say that it holds true for addition and multiplication of rational numbers but not for the subtraction and the division operation, so if the two rational numbers are p1/ q1 and p2/q2, then we get :

(p1 / q1 + p2 / q2) = (p2 / q2 + p1 / q1)

(p1 / q1 * p2 / q2) = (p2 / q2 *  p1 / q1)

(p1/q1 - p2 / q2) < > (p2 / q2  - p1 / q1)

(p1/q1 divided by p2 / q2) < > (p2 / q2 divided by p1 / q1).

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Math for 8th graders

Here we are going to discuss about the topic rational number. We will study about the rational numbers in detail in 8th Grade Math.

We define the set of rational numbers as the numbers which we can write in the form of p / q, where p and q are any integers, such that q <> 0. Further exploring the definition of rational numbers we say that any number which can be either written in the form of terminating decimal number or a repeating decimal number, then we say that the given fraction number is a rational number. All the natural numbers, whole numbers, positive or negative integers and the fraction numbers are the part of the family of rational numbers.

Let us look at the properties of the rational numbers. They are as follows :

1. Closure Property: If we have a pair of rational numbers, then we say that the sum, product, difference and the quotient of the given two rational numbers is also a rational number. Thus we say it mathematically as follows : If p1/ q1, p2 /q2 are any two rational numbers, then we have

P1/ q1 + p2 / q2,

P1/ q1 - p2 / q2 ,

P1/ q1 * p2 / q2 .

P1/ q1 divided by p2 / q2 are also the rational numbers.

2. Associative property of rational numbers also holds true for the addition and multiplication, but not for the operation of division and subtraction. So we have

( P1/ q1 + p2 / q2 ) + p3 / q3 = P1/ q1 + (p2 / q2 + p3 / q3) ,

( P1/ q1 * p2 / q2 ) * p3 / q3 = P1/ q1 * (p2 / q2 * p3 / q3) .

Also we have the commutative property, Additive identity, Multiplicative identity, Additive and multiplicative inverse property which holds true for the rational numbers.

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