Class IX Mathematics Assignment - Real Numbers PDF
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This document is a mathematics assignment for class IX, focusing on real numbers. It covers topics like irrational numbers, simplifying expressions, and visualisations on the number line. The assignment includes various problem types, from finding irrational numbers to proving algebraic identities related to the properties of real numbers.
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CLASS-IX MATHEMATICS ASSIGNMENT CHAPTER – 1 REAL NUMBERS SECTION-A 1 2 1 1. Find an irrationa...
CLASS-IX MATHEMATICS ASSIGNMENT CHAPTER – 1 REAL NUMBERS SECTION-A 1 2 1 1. Find an irrational number between 7 and 7. Given that =0.0.142857. 7 2. Simplify 72 + 800 - 18. −1 1 2 3. Simplify 64 3 [ 64 3 - 64 3 ] 4. In the following equations , examine whether x, y and z represents rational or irrational number i) x3 = 27 ii) y2 = 7 iii) z2 = 0.16 1 1 5. If 2 𝑥 × 4 𝑥 = 83 × 325 ,then find the value of x. SECTION-B 2+ 3 6. Find the value of , if 3 =1.73. 2− 3 7. Represent on number line: i) 2 ii) 7 1 8. If x = 3+2 2 , then find whether x + X is rational or irrational. 𝑝 9. Express the following in the form of , where p and q integers and q ≠ 0: 𝑞 i) 3.2 ii) 18.48 10. Visualise the representation of 6.47 on the number line up to 5 decimal places, which is up to 6.47777. Draw figure only. SECTION-C 3−1 11. Find the value of a and b, if = a+ b 3 3+1 12. Represent 10.5 on then number line. 4 3 5 13. Simplify 81 − 8( 216) + 15 32 + 225. 3 4 14. Which is greatest amongst 2 , 4 , 𝑎𝑛𝑑 3 ? 230 +229 +228 7 15. Prove that 31 30 29 = 2 +2 −2 10 SECTION-D 2+1 2−1 16. If x = and y = , find the value of x2 + y2 + xy. 2−1 2+1 1 1 236 + 4 ×235 + (8 ×2 37 ) 11 17. Prove that 1 1 = 16 ×239 + (8 ×238 ) 8 5− 21 1 1 1 18. If x = , then prove that ( x3 + ) -5(x2 + ) + (x + )= 0 2 𝑥3 𝑥2 𝑥 1 1 1 1 1 19. Prove that − + − + =5 3− 8 8− 7 7− 6 6− 5 5−2 4 20. Rationalise the denominator of 2+ 3+ 7 --------------------------********************************---------------------------
