Rational Numbers Between Two Rational Numbers Rational numbers are numbers which can be expressed in the form of p and q where q ≠ 0. We can find unlimited rational numbers between two rational numbers. A number between two rational numbers can be a rational number or a whole number. When we find whole number […]

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Rational Numbers – Solved Examples Example 1: Write the numerator of the following rational numbers. (i) (2/7) (ii) (-4/5) (iii) (-11/3) (iv) (-10/-17) (v) (13/-14) (vi) (9/8) (vii) (8/9) (viii) (29/4) (ix) (12/5) (x) (22/7) Solution: (i) Numerator of (2/7) is 2 (ii) Numerator of (-4/5) is -4 (iii) Numerator of (-11/3) is -11 (iv) […]

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Equivalent Rational Numbers – Definition – Examples Rational Numbers A rational number can be represented in the form of p/q, where q is not equal to zero. Equivalent Rational Numbers Two rational numbers are said to be equivalent, if they have same value but can be represented in different forms. We know that if we […]

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Division of Two Rational Numbers In this tutorial, we will learn, division of rational numbers. Rational numbers are written as fractions, therefore to divide a given rational number by another rational number, we have to multiply the given rational number by the reciprocal of the second rational number. Let a/b is a rational number then […]

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Arithmetical Operations – Rational Numbers Rational numbers are numbers which can be represented in the form of p/q, where p and q are any two integers and q is not equal to zero(q ≠ 0). A rational number p/q is said to be in its standard form if p and q do not have any […]

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Multiplying Exponents with Square Roots In this tutorial, we will learn the multiplication of exponents, where bases have a square root. When multiplying square roots that contain exponents, we can rewrite the term with a rational exponent. The square root of a positive number (√a) can be expressed as a rational exponent and (√a) = […]

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Multiplying Exponents with Difference Base and Same Powers In this tutorial, we will learn the rule of multiplication of exponents with different bases but same powers. When we multiply exponents with different bases and same powers, we can simply multiply the bases and keep the exponent same. Mathematically it can be written as, [ an  […]

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Multiplying Exponents- Same Base In this chapter, we will study about multiplication of exponents with same base. When a number repeatedly multiplied by itself, multiple times is known as Exponent. For example: p raised to q means that p is multiplied by itself q times. = pq = p x p x p x p […]

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