Question

1)Write down each of the following numbers (expressed in base 10 decimal form) as a quotient of two integers. (a) 0.314159314159314159::::: (b) 0.012345678901234567890123456789:::

2) Write down each the following numbers (expressed in base two decimal form) as a quotient of two integers. (a) 0:01010101010101:::: (b) 0:101101101101101101:::

Answer #1

Write the following numbers in the polar form
re^iθ,
0≤θ<2π
a) 7−7i
r =......8.98............. , θ
=.........?..................
Write each of the given numbers in the polar form
re^iθ,
−π<θ≤π
a) (2+2i) / (-sqrt(3)+i)
r =......sqrt(2)........, θ =
.........?..................., .

how do u write 3.98×10^6 in a decimal form

2 Convert each of the following octal numbers to 10-bit binary,
hexadecimal, and decimal. Show your work.
(a) 368
(b) 7568
3 Convert the following binary values into Decimal, Octal and
hexadecimal. Show your work.
(a) 111010101011112
(b) 1010111011001102
(c) 1011101010001112
(d) 1111101011102
4 Convert the following hexadecimal numbers to 16-bit binary and
decimal numbers. Show your work.
(a) FE9816
(b) FCAD16
(c) B00C16
(d) FEDF16
5 Perform the addition on the following unsigned binary numbers.
Indicate whether or not...

Convert each of the following decimal numbers to octal,
hexadecimal, and decimal numbers using the most appropriate
conversion method.
(c) 0.375

Student Exercise 1 Convert each of the following numbers from
standard notation to scientific
notation.
a. 5268 b. 0.00689
Student Exercise 2 Convert each of the following numbers from
scientific notation to standard
notation.
a. 7.21*10 to the 3rd power
b. 7.21*10 to -3rd power
Student Exercise 3 Write each of the calculator display numbers
in scientific notation and in standard
notation.
a. 5.697E-4 b. 5.6 97 E4

Write the contrapositive statements to each of the following.
Then prove each of them by proving their respective
contrapositives.
a. If x and y are two integers whose product is even, then at
least one of the two must be even.
b. If x and y are two integers whose product is odd, then both
must be odd.

1. Write an equation for each acid or base showing its
ionization in water, and write the equilibrium constant expression
for the weak acid or base.
Nitrous Acid, HNO2
Ka = 4.0 x 10-4
Acetic Acid, HC2H3O2
Ka = 1.8 x 10-5
Hypochlorous Acid, HOCl
Ka = 3.5 x10-8
Pyridine, C5H5N
Kb = 1.7 x 10-9
Diethylamine, (C2H5)2NH
Kb =4.38 x 10-4

Write down the trigonometric and exponential expressions of
the following complex
a) -2
b) 1-cosΘ +isinΘ , (0≤ Θ ≤ π)

Convert each of the following decimal numbers to binary, octal,
and hexadecimal numbers. Only go to 7 bits to the right of the
decimal and be sure to appropriately round the 7th bit.
(f) 250.8

1. Write the equation for the following conic sections in
standard form:
(a) An ellipse centered at (2,-5) that passes through (2,-3)
with foci at (4,-5) and (0,-5).
(b) A hyperbola with vertices at (1,0) and (1, 4) and foci at
(1,-1) and (1, 5).

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