Write all formulas from chapter 1, class 8, subject- maths
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Answer:
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Explanation:
Any number that can be written in the form of p ⁄ q where q ≠ 0 are rational numbers. It posses the properties of:
FORMULAS:
1. Additive Identity: (a ⁄ b + 0) = (a ⁄ b)
2. Multiplicative Identity: (a ⁄ b) × 1 = (a/b)
3. Multiplicative Inverse: (a ⁄ b) × (b/a) = 1
4. Closure Property – Addition: For any two rational numbers a and b, a + b is also a rational number.
5. Closure Property – Subtraction: For any two rational numbers a and b, a – b is also a rational number.
6. Closure Property – Multiplication: For any two rational numbers a and b, a × b is also a rational number.
7. Closure Property – Division: Rational numbers are not closed under division.
8. Commutative Property – Addition: For any rational numbers a and b, a + b = b + a.
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9. Commutative Property – Subtraction: For any rational numbers a and b, a – b ≠ b – a.
10. Commutative Property – Multiplication: For any rational numbers a and b, (a x b) = (b x a).
11. Commutative Property – Division: For any rational numbers a and b, (a/b) ≠ (b/a).
12. Associative Property – Addition: For any rational numbers a, b, and c, (a + b) + c = a + (b + c).
13. Associative Property – Subtraction: For any rational numbers a, b, and c, (a – b) – c ≠ a – (b – c)
14. Associative Property – Multiplication: For any rational number a, b, and c, (a x b) x c = a x (b x c).
15. Associative Property – Division: For any rational numbers a, b, and c, (a / b) / c ≠ a / (b / c) .
16. Distributive Property: For any three rational numbers a, b and c, a × ( b + c ) = (a × b) +( a × c).
LAWS OF EXPONENTS:
1. a0 = 1
2. a-m = 1/am
3. (am)n = amn
4. am / an = am-n
5. am x bm = (ab)m
6. am / bm = (a/b)m
7. (a/b)-m =(b/a)m
8. (1)n= 1 for infinite values of n.