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Scientific Notation and Logarithm
1.
What is scientific notation?
a) Very large numbers like 50000000000000 or very small numbers like 0.30000000000000 can be written in simplified form like in case of large numbers 5 x 10
^{13}
and in case of small numbers 3 x 10
^{-13}
b) Very large numbers like 50000000000000 or very small numbers like 0.30000000000000 can be written in simplified form like in case of large numbers 5 x 10
^{-13}
and in case of small numbers 3 x 10
^{13}
2.
What is logarithm?
a) The bae value of log can alo be other then 10
b) All are correct
c) Example: 2 is the logarithm of 100 to the base 10. Log of 100 would be 2 ie 100 = 10
^{2}
. The exponent is the log value.
d) The exponent of the power to which a base number must be raised to equal a given number.
3.
1000 in scientific notation will have value :
a) 1 X 10
^{3}
b) 1 X 10
^{5}
c) 1 X 10
^{4}
d) 1 X 10
^{2}
4.
In scientific notations a number is represented as product of _________
a) four numbers
b) three numbers
c) two numbers
5.
If the movement of decimal point from original position is right wards the exponent is ____________
a) positive
b) neegative
6.
If the movement of decimal point from original position is left wards the exponent is _________
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7.
_______________ was one of the great Muslim mathematicians of his time
a) Abu-Muhammad Musa Al-khawarizmi
b) John Napier
c) Jobst Burgi
8.
In 1620 a mathematician _________ of Switzerland developed an antilogarithm table
a) John Napier
b) Jobst Burgi
c) Abu-Muhammad Musa Al-khawarizmi
9.
Mathematician ___________ invented logarithms to table
a) Abu-Muhammad Musa
b) John Napier
c) Jobst Burgi
10.
The logarithms to the base e are called _____________
a) natural logarithms
b) logarithms
c) natural or Naperian logarithms
11.
The logarithms to base 10 are called ____________
a) Birggs logarithms
b) common or Birggs logarithms
c) Common logarithms
12.
The integral part of the logarithm of any number is called the _____________
a) denominator
b) nominator
c) characteristics
13.
The fractional part of the logarithm of any number is called the ______________
a) denominator
b) mantissa
c) characteristics
14.
Mantissa is always __________
a) positive
b) nogative
c) nogative or positive
15.
The characteristic of the logarithm of any number is equal to the logarithm power of ______
a) 100
b) 10
c) 32
d) 23
16.
The place between the first non-zero digit and its next digit to the left side of given number is called the ________ position
a) zero
b) positive
c) reference
d) chracteristic
17.
Reference position is represented by symbol __
a) *
b) !
c) ^
d) '
18.
In 32.35 the first nonzero digit on left side is ___
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19.
If the decimal point is on the right side of the reference position then characteristic will be ___________
a) positive
b) negative
c) zero
20.
If the decimal point is on the left side of the reference position then characteristic will be __________
a) negative
b) zero
c) positive
21.
At the time of taking mantissa we ________
a) do not ignore the decimal point
b) ignore the decimal point
22.
To find out the mantissa of 225 we will make it into ___ digits
a) 4
b) 2
c) 3
23.
We need ___ digits to find mantissa
a) 1
b) 4
c) 2
24.
If log x = y then x is called the a _____
a) nti-logarithm of y
b) non nti-logarithm of
25.
For finding anti-logarithm we use ________ table
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26.
If the characteristic is zero the decimal point and the reference position will be at the _______ place
a) different
b) same
27.
The logarithm of a fraction is equal to the difference of logarithm of the numerator from the logarithm of __________
a) nominator
b) denominator
28.
In the logarithm of any number the integral part is called its characteristic
a) False
b) True
29.
If log3 = 0.477, then log 9 = 0.8771
a) False
b) True
30.
The mantissa of a logarithm of any number is negative
a) False
b) True
31.
Log 2 = __________
a) 0.3010
b) 0.1010
c) 0.2010
32.
Log 729 = __________
a) 2.762
b) 2.862
c) 2.262
33.
If log10x = 2, then x = _____
a) 100
b) 10
c) 1000
34.
The characteristic of log 19 is _____
a) 1
b) 0
c) 2
35.
Find the cheracteristic of 8
a) 4
b) 3
c) 0
36.
Find the cheracteristic of 25
a) 1
b) 3
c) 2
37.
Find the cheracteristic of 325
a) 2
b) 2
c) 13
38.
Find the cheracteristic of 5050
a) 5
b) 7
c) 3
39.
Find the cheracteristic of 8.882
a) 2
b) 2
c) 0
40.
Find the cheracteristic of 88.8
a) 6
b) 4
c) 1
41.
Find the cheracteristic of 765.3
a) 4
b) 3
c) 2
42.
Find the cheracteristic of 21.65
a) 1
b) 5
c) 3
43.
Find the cheracteristic of 1500
a) 4
b) 3
c) 3
44.
Find the cheracteristic of 400.3
a) 5
b) 2
c) 1
45.
Find the cheracteristic of 22.2
a) 2
b) 1
c) 3
46.
Find the cheracteristic of 2.002
a) 1
b) 0
c) 3
47.
Find the cheracteristic of 0.7835
a) 2
b) 1
c) -1
d) -2
48.
Find the cheracteristic of 0.001329
a) -1
b) -3
c) 0
49.
Find the cheracteristic of 5.7
a) 0
b) 1
c) 2
50.
Write as the difference of logarithm log7.7X8.55
a) log7.7/log8.55
b) log7.7+log8.55
c) log7.7Xlog8.55
d) log7.7-log8.55
51.
Write as difference of logarithm log 2.12 X 3.21
a) log2.12 - log3.21
b) log2.12 + log3.21
c) log2.12 / log3.21
d) log2.12 * log3.21
52.
Write as difference of logarithm log37.5/31.24
a) log37.5 - log31.24
b) log37.5 + log31.24
c) log37.5 x log31.24
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