Consider the following expression and determine which statements are true.
\dfrac{7}{r}+2^3+\dfrac{s}{3}+11
r
7
+2
3
+
3
s
+11start fraction, 7, divided by, r, end fraction, plus, 2, cubed, plus, start fraction, s, divided by, 3, end fraction, plus, 11
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
The entire expression is a sum.
(Choice B)
B
The coefficient of sss is 333.
(Choice C)
C
The term \dfrac{7}{r}
r
7
start fraction, 7, divided by, r, end fraction is a quotient.
(Choice D)
D
The term 2^32
3
2, cubed has a variable.
Answers
Step-by-step explanation:
COMMON FRACTIONS AND THEIR DECIMAL EQUIVALENTS
Rule: the decimal expansion of any fraction either ends (comes out even), or repeats a certain series forever.
That is the definition of a rational number, by the way — one that can be expressed as an integer fraction.
Everyone knows the halves and quarters:
1/4 = .25
2/4 = 1/2 = .5
3/4 = .75
Surely everyone also knows the fifths:
1/5 = .2
2/5 = .4
3/5 = .6
4/5 = .8
This is good. Doubtless most also know the thirds and sixths:
1/6 = .1666~
2/6 = 1/3 = .333~
3/6 = 1/2 = .5
4/6 = 2/3 = .666~
5/6 = .8333~
Slightly fewer know the odd eighths off the top of their heads:
1/8 = .125
3/8 = .375
5/8 = .625
7/8 = .875
Granted, most everyday fractions fall into one of those categories; but there are others. Ninths and elevenths are inversely related:
1/9 = .111~
2/9 = .222~
8/9 = .888~, etc.
1/11 = .0909~
2/11 = 2 × .0909~ = .1818~
8/11 = 8 × .0909~ = .7272~, etc.
For a fraction such as 7/11, just multiply the numerator by 9: (7 × 9 = 63), remembering that this is a repeating decimal, .6363~.
Sevenths are somewhat tricky, but not difficult. Commit this short string to memory: 142857~, and you can master them all. Each one simply starts at a different place in the series:
1/7 = .142857~
2/7 = .285714~
3/7 = .428571~
4/7 = .571428~
5/7 = .714285~
6/7 = .857142~
There are many other such series involving primes, but they are not worth the mental effort. For example, there are two different 6-digit series for the expansion of n/13; but I haven't memorized them. If thirteenths came up a lot, I would.
Answer:
I think its around 26 and 8/3
Step-by-step explanation:
i did it