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Encircle The Correct Answer

The document contains a series of multiple-choice questions and subjective problems related to mathematics, specifically focusing on logarithms, scientific notation, and properties of equality. It includes 14 multiple-choice questions followed by subjective questions requiring conversions between scientific and standard notation, logarithmic and exponential forms, and simplifications using logarithmic laws. Additionally, there are long questions that involve more complex mathematical operations and simplifications.

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10 views3 pages

Encircle The Correct Answer

The document contains a series of multiple-choice questions and subjective problems related to mathematics, specifically focusing on logarithms, scientific notation, and properties of equality. It includes 14 multiple-choice questions followed by subjective questions requiring conversions between scientific and standard notation, logarithmic and exponential forms, and simplifications using logarithmic laws. Additionally, there are long questions that involve more complex mathematical operations and simplifications.

Uploaded by

mirzambrk
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Encircle the correct answer /14

1. √n ab is equal to:
a. √ ab b. n(ab) c. (ab)n d. (ab)1/n

2. Which number is self- multiplicative inverse?

a. 3 b. -3 c. -1 d. 0

3. if a + b =a what is value of b?

a. 1 b. -1 c. a d. 0

4. if a - b =1 What is value of b?

a. 1 b. 1/b c. 1/a d. – 1

5. According to reflexive property y2 – 17 =?

a. y2 + 17 b. y – 17 c. y2 – 17 d. – 17 – y2

6. if a - b =1 What is value of b?

a. 1 b. 1/b c. 1/a d. – 1

7. Scientific notation of 6.25 is:

a. 6.25 x 101 b. 6.25 x 100 c. 6.25 x 10 d. 0.625 x 102

8. Base of natural algorithm is:

a. Rational number b. Integer c. Irrational d. 10

9. log 1100 is:

a. 2 b. – 2 c. 0 d. None

10. if log (x + 3) = log (15x – 4) then x is:

a. 0.5 b. 7 c. 14 d. 2

11. For the log 0.00327 characteristics is:

a. – 2 b. – 3 d. 3 d. 0

12. log b (M + N) is:

a. log b MN b. log b M + log b N c. both a, b d. None of these

13. log 10 100 is:

a. 2 b. 0 c. 1 d. Impossible

14. log 1002 is:

a. 2 b. 1 c. 4 d. 8
(Subjective Part)
Q#1: Write any 14 questions
/28
1. Write in Scientific notation. 0.00053407
2. Write in standard notation. 6.53 – 10 – 6
3. Write in scientific notation. 0.000000000012
4. Convert from exponential to logarithmic form 125 x/3
=25
5. Convert logarithmic to exponential form log (x3 + 1) = 2
6. Find the value of “x”? log 3 81 = x
7. Find the antilog 2. 9281

8. Expand by using law of logarithms log


59
5

9. Combine by using laws of logarithm


1 1 1
log t+ log r− log s
2 3 5
10. Use laws of logarithms to evaluate: log 343
11. Find the logarithms of 52. 7 39
12. Find the number of digits in 100100
13. Identify the property of equality or inequality.
(i) 9x = 9x (ii) if 2x 3 =y then y = 2x + 3

14. Simplify by using rules of radicals


√4 x 7
√4 x 5
15. Write exponential expression as an equivalent radical expression and simplify ( )
1 1/5
32
16. Write radical expression as an equivalent exponential. (√
3
6 )6
17. Simplify: 7 – 1/3 (7 5/3
–7 4/3
)

18. Simplify: ( )1/7


5 17
2187 a b
12 3

Long Question
a b

Q#3: Attempt any 2 questions of the following


/8
1. Simplify by converting into Scientific notation.
−3
2.549 X 5067 X 10

2. Expand by using laws of logarithms:


3
10

( 2 )
1
√3 5.512 Pm

3. Use suitable laws of exponents to show that :


√5.91 a2 b 4
( q )p+q x ( r )q + r x ( p )r + p x x q2 x yr2 x z p2
= x p2 x yq2 x z r2
p q r
x y z
x y z

4. Evaluate the following with the laws of logarithm.


39.24 X √3 1.931
√4 64.4 X √23.91

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