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djyliett [7]
3 years ago
13

What is the difference between a rational and irrational number?

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.

√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1

0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.

0.3333333333 – All recurring decimals are rational.

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.

3/0 – Fraction with denominator zero, is irrational.

π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.

0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.

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The answer would be x=3

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3 years ago
What is the value of x in the octagon
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we cant see the octogon

Step-by-step explanation:

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3 years ago
Ramer and knox began a partnership by investing $64,000 and $94,000, respectively. the partners agreed to share net income and l
Butoxors [25]

Each partner's share given a first-year net income of $102,800 is $-3,300.

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<h3>What is each partner's share?</h3>

Partner' share = net income / loss - interest - salary salary allowance

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5 0
2 years ago
What is the ratio for sine
Sphinxa [80]

Answer:

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

Step-by-step explanation:

There is a trigonometric acronym for this which is:

Soh Cah Toa

Soh means that sine is opposite over hypotenuse.

Cah means that cosine is adjacent over hypotenuse.

Toa means that tangent is opposite over adjacent.

Let me actually write these out as fractions:

sine is \frac{\text{opposite}}{\text{hypotenuse}}

cosine is \frac{\text{adjacent}}{\text{hypotenuse}}

tangent is \frac{\text{opposite}}{\text{adjacent}}

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

4 0
3 years ago
The following graph shows a proportional relationship.
elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

8 0
2 years ago
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