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Helga [31]
3 years ago
15

How do I order rational and irrational numbers from least to greatest

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer: Rational numbers are any numbers that can be expressed by a fraction with integers in both the numerator and the denominator. The amount of time and paper it takes to put them into an increasing line depends on how many numbers there are and how big of a range they have.

1.Rewrite improper fractions

An improper fraction is a fraction with a bigger numerator than denominator. These numbers can be difficult to compare. For example, numbers such as 26/7, 31/9, 12/5, 8/3 and 22/13 do not have an obvious highest or lowest term. Rewrite improper fractions as mixed numbers or as numbers with decimals. To turn an improper fraction into a decimal, divide the numerator by the denominator. If the denominator is large or a prime number greater than five, use a calculator. For example, divide the numbers 26/7, 31/9, 12/5, 8/3 and 22/13 to create 3.71, 3.44, 2.4, 2.67 and 1.69.

2.Find the highest and lowest terms

Figure out where your number line starts and ends. Put the lowest term on the far left and the highest term on the far right. Remember, negative numbers are lower than positive numbers, and the greater a negative number's distance from zero, the lower it is.

3.Mark benchmark terms

Draw a line extending through your lowest and highest points. Figure out some major points between these values and mark them on your line. For example, if your lowest number is negative 25 and your highest number is 50, find where zero and 25 would be. Mark these as benchmarks or guides.

4.Fill in the remaining numbers

Using your guides, fill in the rest of the numbers. Start with the lowest values on the left and work your way up.  


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All numbers bigger than five, or at most negative one
Kisachek [45]

Answer:

Hi there!

Your answer is:

-1 >=x>5

This can be broken down to:

x <= -1

x>5

Which fits your requirements!

6 0
3 years ago
A triangle has 2 sides that equal 5 inches. The other side equals 4 inches
miskamm [114]

Answer:

Isosceles triangle

Step-by-step explanation:

It is assumed that the triangle is a right angle triangle, implying that Pythagoras theorem becomes applicable.

If the first side is represented by x and the second side by y,

x + y = 5

The hypotenuse is always the longest side hence it can be presumed to be 4 since both x and y cannot be more than 5.

Therefore using pythagoras equation:

hyp^2 = sqrt(opp^2 + adj^2)

this implies that

4^{2} = \sqrt{x} (x^{2} +y^{2}

therefore

16 = sqrt (x^2 + y^2) ----------------- (i)

since x + y = 5, y = 5 - x ------------------- (ii)

substituting (ii) into eqn (i)

16 = sqrt ( x^2 + (5-X)^2)

16 = sqrt( x^2 + 25 -10x + x^2)

16 = sqrt( x^2 + x^2 - 10x + 25)

16 = sqrt( 2x^2 - 10x + 25)

squaring both sides

256 = 2x^2 - 10x + 25

this can be refined as

2x^2 - 10x - 231 = 0

Solving using quadratic equation:

where a = 2, b = -10 and c = -231

x = 13.53  or -8.53.

Since x is a side of a triangle that cannot be negative,

x = 13.53 but x can never be greater than 5 since x + y = 5

This implies that the triangle is not a right angle triangle; it is most likely an  isosceles triangle with two sides of equal length such that x = y = 2.5 inches while the longest side; the hypotenuse is 4 inches.

substituting for x in

4 0
3 years ago
Here is the image I need help with
Mama L [17]

Answer:

All I know for a fact is that number 10 is C

Step-by-step explanation:

4 0
3 years ago
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
MrMuchimi

Answer:

side of square is 2-x

Step-by-step explanation:

Area of the square is side * side  or side ², so the expression for the side has to be square root of area

A = 4 -4x + x²

It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial

side of square is 2-x

6 0
3 years ago
Expand and simplify 10-3(3x-2)​
JulijaS [17]

Answer:

−9+16

Step-by-step explanation:

1. 10−3(3−2)

10−9+6

2. Add the numbers

3. Rearrange terms

3 0
2 years ago
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