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Express 21//25 in decimal form....

Express `21//25` in decimal form.

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To express \( \frac{21}{25} \) in decimal form, we can follow these steps: ### Step 1: Perform the Division To convert the fraction \( \frac{21}{25} \) into decimal form, we need to divide the numerator (21) by the denominator (25). \[ 21 \div 25 \] ### Step 2: Set Up the Long Division We can set up the long division of 21 by 25. Since 21 is less than 25, we know the whole number part of the decimal will be 0. We can add a decimal point and a zero to 21 to make it 210. \[ 25 \) 21.00 \] ### Step 3: Divide Now we divide 210 by 25: - 25 goes into 210 eight times because \( 25 \times 8 = 200 \). - Subtract 200 from 210, which gives us 10. - Bring down another 0, making it 100. Now we divide 100 by 25: - 25 goes into 100 four times because \( 25 \times 4 = 100 \). - Subtract 100 from 100, which gives us 0. ### Step 4: Combine the Results Putting it all together, we find that: \[ \frac{21}{25} = 0.84 \] ### Final Answer Thus, the decimal form of \( \frac{21}{25} \) is: \[ \boxed{0.84} \] ---
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MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-Olympiad/HOTS Corner
  1. Express 21//25 in decimal form.

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  2. Which of the following statements is incorrect ?

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  3. Find the value of (9^(3//2)-3xx5^(0)-[(1)/(81)]^(-1//2))/(((64)/(125))...

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  4. If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) then bx^(2)+b =

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  5. The value of sqrt(6+2sqrt(3)+2sqrt(2)+2sqrt(6))-(1)/(sqrt(5-2sqrt(6)))...

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  6. If a=2+sqrt(3)+sqrt(5) and b=3+sqrt(3)-sqrt(5), then a^(2)+b^(2)-4a-6b...

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  7. Find the values of the integers a and b respectively, for which the so...

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  8. The value of expression ((0.6)^(0)-(0.1)^(-1))/(((3)/(2^(3)))^(-1).((3...

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  9. Expressing 0.bar23+0.2bar3 as a single decimal, we get

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  10. If (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18))=(a+bsqrt(6))/(15) and ((a)/...

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  11. If\ \ sqrt(2^n)=1024 ,\ \ then 3^(2(n/4-4))= 3 (b) 9 (c) 27 (d...

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  12. Express 1-(1)/(1+sqrt(3))+(1)/(1-sqrt(3)) in the form a+bsqrt(3), wher...

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  13. If (3+2sqrt(3))/(3-sqrt(3))=a+sqrt(3)b , then the value of sqrt(a+b) ,...

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  14. Simplify: 2/(sqrt(5)+\ sqrt(3))+1/(sqrt(3)+\ sqrt(2))-3/(sqrt(5)+\ sq...

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  15. What is the value of 2.bar(6)-1.bar(9) ?

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  16. The sum of 0.bar(6) and 0.bar(7) is

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  17. If 2^(x)=4^(y)=8^(z) and ((1)/(2x)+(1)/(4y)+(1)/(6z))=(24)/(7), then f...

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  18. If 3sqrt(3)xx3^(3)-:3^(-3//2)=3^(a+2) , then a =

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  19. Find the value of a and b respectively, if (5+sqrt(3))/(7-4sqrt(3))=47...

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  20. If 2^(x+3)=32 , then what is the value of 3^(6-x) ?

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  21. The numbers 7.478478…. and 1.101001000100001 ….. are

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