which of the following is an irrational number?
A. 1
B. 9/17
C. 0.4166666666
D. Both A&C
with showing work please or putting it in to words.
a. is rational
C is rational
irrational numbers do not repeat in decimals. divide 17 into 9
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9/17
Which of the following is an IRRATIONAL number?
A. divide 36
B. 9/17
C. divde 15
D. Both A&C
And how?
Can B be liminated from this problem?
Which set of numbers is NOT ordered from least to greatest?
A. -4, division sign, 2
B. 1/4, pi sign, 2^2
C. 7/8, 1, 6/10
D. 0.15,1.5,1,05
To determine which of the following options is an irrational number, let's go through each one:
A. 1: In this case, 1 is a rational number because it can be expressed as the fraction 1/1, which is the ratio of two integers.
B. 9/17: To check if this is irrational, we need to verify if it can be written as a fraction of two integers or not. Since 9 and 17 are both integers and 9/17 is in the form of a fraction, it is a rational number.
C. 0.4166666666: This is a repeating decimal. To determine if it is rational or irrational, we need to recognize that a repeating decimal can be expressed as a fraction. In this case, if we denote the repeating part by x, we have:
0.4166666666 = 0.41 + x
Multiplying both sides by 100 yields:
41.66666666 = 41 + 100x
Now, subtracting, we get:
41.66666666 - 41 = 100x
0.66666666 = 100x
Dividing both sides by 100 gives us:
0.0066666666 = x
We can see that x is a repeating decimal with a pattern of 6's, so it can be expressed as the fraction 2/300. Hence, 0.4166666666 is a rational number.
Considering our findings from the analysis above, the correct answer would be:
D. Both A&C