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seraphim [82]
3 years ago
12

Which statement is true?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

An irrational number may show terminating digits after the decimal

Step-by-step explanation:

Examples of Rational Numbers

Number 9 can be written as 9/1 where 9 and 1 both are integers.  0.5 can be written as ½, 5/10 or 10/20 and in the form of all termination decimals.  √81 is a rational number, as it can be simplified to 9 and can be expressed as 9/1.  0.7777777 is recurring decimals and is a rational number

Examples of Irrational Numbers

Similarly, as we have already defined that irrational numbers cannot be expressed in fraction or ratio form, let us understand the concepts with few examples.

5/0 is an irrational number, with the denominator as zero.

π is an irrational number which has value 3.142…and is a never-ending and non-repeating number.

√2 is an irrational number, as it cannot be simplified.

0.212112111…is a rational number as it is non-recurring and non-terminating.

There are a lot more examples apart from above-given examples, which differentiate rational numbers and irrational numbers.

Properties of Rational and Irrational Numbers

Here are some rules based on arithmetic operations such as addition and multiplication performed on the rational number and irrational number.

#Rule 1: The sum of two rational numbers is also rational.

Example: 1/2 + 1/3 = (3+2)/6 = 5/6

#Rule 2: The product of two rational number is rational.

Example: 1/2 x 1/3 = 1/6

#Rule 3: The sum of two irrational numbers is not always irrational.

Example: √2+√2 = 2√2 is irrational

2+2√5+(-2√5) = 2  is rational

#Rule 4: The product of two irrational numbers is not always irrational.

Example: √2 x √3 = √6 (Irrational)

√2 x √2 = √4 = 2 (Rational)

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When solving this equation: -16 + x = -15 we start with adding 16 to both sides. Why do we use addition?​
Ierofanga [76]

Answer:

So you can cancel out the 16. See, the -16 is negative, and if we add +16 to it, then it cancels out and is 0. That way, you have x=1.

Step-by-step explanation:

-16x+x=-15

+16x      +16

   0+x=1

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6 0
3 years ago
What is an equation of the line that passes through the points (1,3) and (8,5)?
slamgirl [31]

Answer:

y=2/7x+19/7

Step-by-step explanation:

Slope = m = (y₂-y₁)/(x₂-x₁) = (5-3)/(8-1) = 2/7

Therefore, our equation so far is y=2/7x+b where we can calculate b, the y-intercept by plugging in one of our given points [I used (1,3)]:

y=2/7x+b

3=2/7(1)+b

3=2/7+b

21/7=2/7+b

19/7=b

Therefore, our final equation is y=2/7x+19/7

4 0
3 years ago
Order the following rational numbers from least to greatest. <br> 61%, 0.68, 2/3, 0.57, 3/5
Mashutka [201]

Answer:

Step-by-step explanation:

61% = 0.61

0.68

2/3 = 0.666

0.57

3/5 = 0.600

least to greatest : 0.57, 3/5, 61%, 2/3, 0.68

5 0
3 years ago
X-3x+3&lt;6 <br> Solve the problems
bixtya [17]

Answer:

x > -3/2

Step-by-step explanation:

x-3x+3<6

Combine like terms

-2x+3<6

Subtract 3 from each side

-2x +3-3<6-3

-2x <3

Divide each side by -2,remembering to flip the inequality

-2x/-2 > 3/-2

x > -3/2

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3 years ago
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30-(2.5x+2y-2)=32-2.5x-2y
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