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

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.

4 0

3 years ago

A hot air balloon is descending at a rate of 287 feet per minute.

faust18 [17]

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

8 0

3 years ago

Find the midpoint of AB if a (-1,7) and B (11,-1)

Nady [450]

Answer:

(5, 3)

Step-by-step explanation:

<h3>Given </h3>

Points A(-1,7) and B (11,-1)

Midpoint of AB

<h3>Solution</h3>

<u>Using midpoint formula</u>

x = (-1 + 11)/2 = 10/2 = 5
y = (7 -1)/2 = 6/2 = 3

Midpoint is (5, 3)

8 0

3 years ago

Read 2 more answers

What is the answer to thus problem

Dominik [7]

The numerator is 16 and the denominator is 3.

5 0

3 years ago

Read 2 more answers

01:

Jobisdone [24]

Answer:

4

Step-by-step explanation:

4 0

2 years ago