Decimal Sheet.pdf

Class 01 Decimal Type - 01 2157 1. Without actually performing the division, 625 state whether the following numbers will (a) 0.34512 (b) 3.4512 have terminating decim...

Class 01 Decimal Type - 01 2157 1. Without actually performing the division, 625 state whether the following numbers will (a) 0.34512 (b) 3.4512 have terminating decimal expansion or a (c) 34.512 (d).034512 non-terminating repeating decimal ex- pansion. 17 17 5. Express – in the decimal form./ – 8 8 (a) – 2.125 (b) 2.125 (c) – 0.2125 (d) 0.2125 17 64 29 (i) (ii) (iii) 6. Solve the below expression./ 8 455 353 38729 11 27 15 13 23 + + (iv) (v) (vi) 2³ 5² 6250 128 15625 1600 3125 (a) 6.1298 (b) 7.319601837 2. Without doing actual division find out how (c) 6.2843055 (d) 6.284307 many digit are after decimal. Type - 02 1. Express each of the following decimals in p the form q. 3 13 7 (i) (ii) (iii) p 8 125 80 q 14588 129 (iv) (v) 625 2 4 × 57 (i) 0.1 (ii) 0.2 (iii) 0.3 7 7 3. Express in the decimal./ (iv) 0.4 (v) 0.5 (vi) 0.6 8 8 2. The fraction of/ (a) 0.875 (b) 0.0875 0.3939............ (c) 8.75 (d).00875 17 13 15 11 (a) (b) (c) (d) 39 33 33 39 2157 4. Express in the decimal form./ 625 3. The square root of/ 0.4 (a) 0.8 (b) 0.6 (c) 0.7 (d) 0.9 FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA 1 4. Which fraction is equal to/ 0.0808 1.36 15 5 8 8 2 1 4 (a) (b) (c) (d) 0 (a) (b) (c) (d) 11 8 9 99 5 11 5 5. Which fraction is equal to/ 11. What is the value of/ 0.375 0.47777………. 172 169 15 15 43 6 (a) (b) 900 450 (a) (b) (c) (d) 90 99 90 9 179 162 1 (c) (d) 450 450 6. If 0.1111 ……… = then 0.444 …….. is equal 9 12. 2.136 = ? to: 47 68 1 (a) (b) 0.1111 ……… = 0.444 …….. 220 495 9 11 3 (c) (d) 2 27 22 1 2 1 4 (a) (b) (c) (d) 13. The value of/ 90 45 99 9 7. Simplify the/ 0.2 + 0.3 + 0.4 + 0.9 + 0.39 20    2 2 (a) 0.57 (b) 1 0.1  1 – 9 0.16 33 1 1 7696 1 13 13 (a) – (b) (c) (d) (c) 2 (d) 2 162 108 106 109 39 33 p p 8. If 2.5252525...... = q then find the value of 14. Express 0.99999 ….. in the form q , where e q p and q are integers and q  0. p ? p 0.99999…... q p p q q q0 2.5252525...... = q p 9 (a) 0.4 (b) 0.42525 (a) 1 (b) 10 (c) 0.0396 (d) 0.396 999 990 9. What is the value of/ (c) (d) 0.57 1000 1000 57 57 26 52 15. Express 0.001 as a fraction in the simplestt (a) (b) (c) (d) 10 99 45 9 form. 10. Chage the decimal fraction 0.0808 in 0.001 simple fraction. 2 FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA  1 1 1 1 (a) (b) (a) 0 (b) 1 (c) (d) 999 9 2 3 20. If N = 0.369 and M = 0.531 then find the 1 1 (c) (d) 1 1 99 1000 value of +. N M 16. Convert the following decimal number in p 1 1 the form q. N = 0.369 M = 0.531 + N M p q 11111 11111 5.2 (a) (b) 9 99 52 47 11100 11100 (a) (b) (c) (d) 90 9 59 × 41 99 (c) 52 (d) 52 Type - 03 10 99 1. The difference of 5.76 and 5.3 is 17. Convert the following decimal number in 5.76 5.3 p the form q. (a) 2.54 (b) 3.73 p (c) 3.46 (d) 3.43 q 23.43 2. The value of/ 0.63 + 0.37 2343 2343 100 99 100 (a) (b) (a) 1 (b) (c) (d) 100 99 99 100 33 2320 2343 (c) 99 (d) 90 3. The value of/ 3.68 – 2.79 (a) 0.45 (b) 0.49 18. Express the following decimals in the form p (c) 0.88 (d) 0.48 q. 4. The simplified value of/ p q 3.36 +1.33 + 2.05 0.00352 (a) 2.6 (b) 2.61 349 352 (c) 2.64 (d) 2.64 (a) (b) 99000 10000 5. The value of / 2.6 – 1.9 349 352 (c) (d) (a) 0.6 (b) 0.9 (c) 0.7 (d) 0.7 99900 99000 6. 0.2 + 0.5 + 0.6 + 0.8 = ? 19. Find the value of/ 3 0.037 (a) 2.1 (b) 2.2 FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA 3  (c) 2.3 (d) N.O.T 15. F ind the value of/ 7. 2.3 + 0.7 + 0.8 = ? 0.856 + 3.74 + 5.8756 (a) 2.1 (b) 2.1 (c) 3.5 (d) 2.3 (a) 10.47970 (b) 10.47971 8. What is the value of/ (c) 10.47972 (d) 10.47975 0.6 + 0.7 + 0.8 + 0.3 16. Find the value of/ 0.87 + 0.359 3 2 (a) 1.3144 (b) 1.238147 (a) 2 (b) 2 10 3 (c) 1.23845 (d) 1.2318473 33 17. Find the value of/ (c) 2 (d) 2.35 100 123.45678 + 3.4567 + 2.8 9. What is equal to/ (a) 129.8024345 (b) 129.8024345 3.76 – 1.4576 (c) 129.8024345 (d) 129.8024345 (a) 2.3100191 (b) 2.3101091 18. Find the value of/ (c) 2.3110091 (d) 2.3110901 22.4 +11.567 – 33.59 10. The value of/ 0.3467 + 0.1333 (a) 0.412 (b) 0.412 (a) 0.48 (b) 0.4801 (c) 0.48 (d) 0.9 (c) 0.412 (d) 0.408 11. What is the value of/ Type - 04 0.3467 + 0.1333 8 1. Find the decimal representation of. (a) 0.48 (b) 0.4801 3 8 (c) 0.48 (d) 0.48 3 12. 8.1+ 2.164 +16.032 = ? (a) 2.6 (b) 2.6 (a) 26.308 (b) 26.308 (c) 2.66 (d) 2.66 (c) 26.296 (d) 26.296 2 2. Express as a decimal fraction./ 13. Find the value of/ 11 2 0.37 + 8.56 +1.23 11 (a) 10.17 (b) 10.17 (a) 0.18 (b) 0.18 (c) 0.1818 (d) 0.18 (c) 10.117 (d) 10.18 45 3. Find the decimal representation of –. 16 14. Find the value of/ 45 – 3.98 + 5.26 +16.31 16 (a) 24.56 (b) 25.56 (a) 0.35 (b) 0.35 (c) 25.56 (d) 25.256 (c) 0.35 (d) 0.3555 4. The value of/ 0.45 × 0.1 4 FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA  (a) 0.045 (b) 0.45 2. 3.9 + 5.7 = ? (c) 0.05 (d) 0.05 (a) 9.6 (b) 8.6 (c) 7.6 (d) 1.6 7 3. Find the value of/ 5. If 0.xy = , then find the value of x + 2y.. 11 27 ×1.2 × 5.5262 × 0.6 7 (a) 21.58 (b) 110.576 0.xy = x + 2y 11 (c) 121.5768 (d) 316.89 (a) 12 (b) 13 (c) 14 (d) 15 4. Find the value of/ 13 6. If 0.xyz = , then find the value of x + y 0.47 + 0.503 – 0.39 × 0.8 37 + z. (a) 0.625 (b) 0.625 13 (c) 0.625 (d) 0.1625 0.xyz = x+y+z 37 (a) 6 (b) 7 (c) 8 (d) 9 Type - 05 1. Sum of 2.75 and 3.78 (a) 5.53 (b) 4.53 (c) 1.53 (d) 1.03 Type-2 Type-1 Answerkey Answerkey 1. (i) = 1 , (ii) = 2 , (iii) = 3 , (iv) = 4 9 9 9 9 1. Terminating:-(i),(iv),(v),(vi) 5 6 Non–Terminating:-(ii),(iii) (v) = , (vi) = 9 9 2. (i) = 3, (ii) = 3, (iii) = 4, (iv) = 4, (v) = 7 3. (a) 11. (b) 16. (b) 2. (b) 17. (c) 4. (b) 12. (d) 3. (b) 18. (a) 5. (a) 13. (d) 4. (a) 19. (d) 6. (c) 14. (a) 5. (c) 20. (c) 15. (a) 6. (d) 7. (b) 8. (d) 9. (d) 10. (a) FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA 5  Type-3 Type-4 Answerkey Answerkey 1. (d) 1. (b) 2. (c) 2. (b) 3. (c) 3. (b) 4. (d) 4. (a) 5. (a) 5. (a) 6. (c) 6. (d) 7. (d) Type-5 8. (b) Answerkey 9. (a) 1. (b) 10. (b) 2. (c) 11. (b) 3. (c) 12. (b) 4. (c) 13. (a) 14. (b) 15. (a) 16. (b) 17. (b) 18. (c) 6 FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA