Order the following set of rational numbers from least to greatest: -8, -19, 0, 1/2, 1/4

Answers

Answer 1
Answer:

-19, -8, 0, 1/4, 1/2 is the correct order
Answer 2

Answer:

[tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Step-by-step explanation:

Skills required: Ordering a set of numbers

1) [tex]-8,-19,0,\frac{1}{4}, \frac{1}{2}[/tex] are the numbers we are given. There are 2 important things to think about when ordering this set.

Negative numbers (the numbers with a "-" sign in front of it) are always less than 0. Negative numbers are: -1, -5, -67, -990Positive numbers (the numbers without a "-" sign in front of them) are always greater than 0. Positive numbers are: 1, 3, 45, 67

2) Based on this, we can split the 5 numbers into 3 groups:

The negative group: -8,-19The special group: 0The positive group: [tex]\frac{1}{2}, \frac{1}{4}[/tex]

3) Starting with the negative group, we can easily find which number is greater.

-1 is greater than -2.

-23 is greater than -35.

Based on this: -8 is greater than -19. That means when ordering our numbers, -8 is the first number, and -19 is the second number

4) 0 is the 3rd number, since it is less than positive numbers and greater than negative numbers

5) Now onto the positive numbers, which is also easily solvable.

When you have two fractions, there are different ways to find out which fraction is greater than the other. I will show you 2 different ways here.

Do division. [tex]\frac{1}{4}[/tex] is 1 ÷ 4 and [tex]\frac{1}{2}[/tex] is 1 ÷ 2. So, generally, given a fraction [tex]\frac{x}{y}[/tex], you would do x ÷ y to find the decimal form. If you know how to compare decimals, this is a good way. 1 ÷ 4 is 0.25 and 1 ÷ 2 is 0.5, and 0.5 is greater than 0.25, making [tex]\frac{1}{2}[/tex] greater than [tex]\frac{1}{4}[/tex] Compare denominators. So, these two fractions have the same numerator of 1. To find out which is greater, we can look at the denominators. If 2 fractions have the same numerator, the one with a lower denominator is greater, when looking at positive numbers. 2 is less than 4, so [tex]\frac{1}{2}[/tex] is greater than [tex]\frac{1}{4}[/tex]

This means that [tex]\frac{1}{4}[/tex] is the 4th number, and [tex]\frac{1}{2}[/tex] is the 5th term.

Our ordered pair would then be: [tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Hope this helps and have a nice day!! :) :] :D


Related Questions

pitso went to buy ingredients for 48 minutes and came back at 16h15 .his friend claimed that he left half past 3p.m . verify hisd. claim​

Answers

Answer:

His claim is false.

Step-by-step explanation:

People put nasty fake answers, so I will answer your question here. 16h15 minus 45 minutes is 15h30. If he was gone 48 minutes, he left at 15h27m

Can you please factor x^2-2x-31?

Answers

Multiply the coefficient of the first term by the constant 1 • -31 = -31

Find two factors of -31 whose sum equals the coefficient of the middle term, which is -2 .

-31 + 1 = -30
-1 + 31 = 30

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Plz help due tomorrow

Answers

2x + 4 1/5 = 9
2x = 9 - 4 1/5
2x = 5 1/5
2x divided by 2 = x
5 1/5 divided by 2 = 13/5 (2 3/5, or 2.6)
x = 13/5 (2 3/5, or 2.6)

PLS HELP ME ITS DUE TONIGHT

Answers

5/8 is greater than 1/2
4/10 is less than 1/2
So 5/8 is greater than 4/10
Charlie sold more.

help asap please , don’t know how to do this lol

Answers

Answer:

no

Step-by-step explanation:

A large emerald with a mass of 982.7 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

Answers

Answer:

356.05 cm³

Step-by-step explanation:

We are looking for the volume. The formula is density = mass / volume.

If we plug in our numbers, our formula would be 2.76 = 982.7 / V.

Multiply both sides by V and your formula would be (V) 2.76 = 982.7.

Divide both sides by 2.76 and you would get V = 356.05.

The volume of the given large emerald is required.

The volume of the given large emerald that was discovered in the mine was 356.05 cm³. The calculations to find this value is shown below.

Density

m = Mass of object = 982.7 grams

[tex]\rho[/tex] = Density of the material the object is made of = 2.76 grams over centimeters cubed

The relation between mass, volume and density is given by

[tex]V=\dfrac{m}{\rho}\\\Rightarrow V=\dfrac{982.7}{2.76}\\\Rightarrow V=356.05072\approx 356.05\ \text{cm}^3[/tex]

Learn more about density:

https://brainly.com/question/6838128

8 oranges cost $3.60 How much does it cost for each orange?​

Answers

Answer:

Each orange costs 45 cents

Step-by-step explanation:

3.60 divided by 8 = .45

Answer:

The answer is 0.45 cents

Step-by-step explanation:

We divide 3.60 by 8 and got 0.45.

Have a great day

Please help me friendsss?

Answers

Answer:

I believe it is E. 95.

Hope this helps! Sorry if it doesn't!

Answer:

85

Step-by-step explanation:

180°-50°-35° = 95

180°-95° = 85°

sorry if I got it wrong

Determine the missing value in the circle graph what fraction of the total number of students surveyed is comedy?​

Answers

Answer:answer

Step-by-step explanation: we’ll see to put it in a simpler way you are first going to have to joe nuts

answer both for ( brain list, thanks, 5 star review) PLS help

Answers

Answer Below :)

Step-by-step explanation:

2a = 80,730

2b = 106

The answers are
1. 80730
2. 106

A band director is trying to decide what music to play for the halftime show. To get a sample, the director divides the band into groups based on their grade (freshmen, sophomores, juniors, and seniors). Then she randomly chooses a group and surveys every member of the chosen group. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling helppppppo​

Answers

Answer:

random sampling

Step-by-step explanation:

Answer:

A.

Step-by-step explanation: Cluster sampling

pls answer this as soon as possible no wrong answers pls

Answers

Answer:

The answe is b

Step-by-step explanation:

Because when u calculat,you’ll only get 1 answer.

pls mark BRAINLIEST

the sum of two consecutive even integers is 122. what are the integers?​

Answers

Answer:

If the numbers were the same, they'd both be 61

So, try 60 and 62.

x + x+2 = 122

2x = 120

x = 60

Hope that helps!

Answer:

60 and 62

Step-by-step explanation:

To find the answer we need to set up our problem.

For the two consecutive even integers we can call them x and x+2, as adding 2 to x will give us the next even number.

Then we form our equation:

x+x+2=122

Since we have two x we can combine them into a single term

2x+2=122

We then subtract 2 from both sides

2x=120

Divide by 2

x=60

Find the second number by inserting it into

x+2

60+2=62

Please answer I’ll mark you brainlist!!!

Answers

The correct answer would be 122 because 11^2 is 121 and 1^6 is just 1 and then 121 + 1 = 122! :)
Answer: 122

1^6 = 1

11^2 = 11 x 11

11 x 11 = 121

121 + 1 = 122

is 10/4 a irrational number?

Answers

Answer:

si

Step-by-step explanation:

porque si

Shawn is typing a paper for class. He can type 1 5/11 pages in 1/ 3 of an hour. How many pages can Shawn type in one hour?
A 1 3/11
B 1 8/11
C 4 4/11
D 5 9/11​

Answers

Answer:

the amount of pages typed after 1/3 of an hour is given. Multiply this number by 3 to get the full hour of pages types.

1 5/12 * 3 = 3(1) + 3(5/12)

= 3 5/4

= 4 1/4 pages

Find X
(will give brainliest if correct)

Answers

Answer:

look at my question

Step-by-step explanation:

EMERGENCY HELP IS THIS CORRECT way

Answers

Step-by-step explanation:

goodjob so correct

Answer:

for number 3, it is D, not C  and you are correct for 4

Step-by-step explanation:

Four times a number is 44. What is the number? 44 n n n n 10 11 40 48

Answers

4n=44
Divide both sides by 4.
n=11
Therefore, the number is 11.

Answer:

11

Step-by-step explanation:

Which describes where living and nonliving parts of an environment interact with and rely on each other?

A.
community

B.
ecosystem

C.
habitat

D.
population

Answers

Answer:

B

Step-by-step explanation:

Ecology is the study of ecosystems. That is, ecology is the study of how living organisms interact with each other and with the nonliving part of their environment.

Find the value of x.

Answers

Are there multiple choice options??

Please help and I will give you a Cookie

Answers

Step-by-step explanation:

In triangle

x²=5²+12²

x²=25+144

x²=169

x= root of 169

x=13

Answer:

13

Step-by-step explanation:

A^2+B^2=C^2

5=A 12=B X=C

C is is always the longest side of a right triangle.

Determine the mean absolute deviation of the data.9, 7, 11, 10, 8

Answers

Answer:

1.2

Step-by-step explanation:

First, we need to find the mean of the data. We do this by adding all of the given numbers than dividing it by the number of numbers given. For example, we will add 9+7+11+10+8 which is 45. Since there are 5 given numbers, we are going to divide 45 by 5 which is 9. Now, we need to find the difference (subtraction) of all of the numbers in relation to 9. For example, for 9, we do 9-7 which is 2. Keep 2 in mind. Then we do 11-9 which is also 2. 10-9 is 1. 9-9 is 0. And finally, 9 minus 8 is also 1. Then, like what we did before, we need to find the mean of all of these differences. 2 plus 2 plus 1 plus 0 plus 1 is 6. Then, we divide 6 (our total of these differences) by 5 (the number of differences) 6 divided by 5 is 1.2 so there is your MAD and answer.

The mean absolute deviation of the given data is 1.2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

Here's how to calculate the mean absolute deviation.

Data given: 9, 7, 11, 10, 8

Step 1: Calculate the mean.

[tex]mean = \frac{sum\ of\ observations}{number\ of\ observations} \\\\mean = \frac{9 + 7+11 + 10 + 8}{5}\\ \\mean =9[/tex]

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

Data    Distance from mean

9          |9 - 9| = 0

7          |7 - 9| = 2

11          |11 - 9| = 2

10         |10 - 9| = 1

8          |8 - 9| =1

Step 3: Add those deviations together.

Sum of deviations =  0 + 2 + 2 + 1 + 1 = 6

Step 4: Divide the sum by the number of data points.

Mean absolute deviation = [tex]\frac{sum\ of\ deviations}{number\ of\ observations}\\ \\[/tex] = [tex]\frac{6}{5} = 1.2[/tex]

Learn more about mean absolute deviation here

https://brainly.com/question/10528201

#SPJ2

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What is the missing side?

Answers

Answer:

90

Step-by-step explanation:

the forumla of a triangle is base times height, divided by 2 and since it has a height of 12 and a base of 15, and if you multiply that it would give you 180, then divide by 2 since it is half a sqaure, which is 90

Answer:

[tex]3 \sqrt{41}[/tex]

Step-by-step explanation:

[tex]12^2 + 15^2 = x^2 \\x = \sqrt{369} = 3\sqrt{41}[/tex]

The value of k lies between 2.2 and 2.3.
Select all possible values of k.

Answers

Answer:

Its easy... 5 and 5.04!

Step-by-step explanation:

You have to look at it properly. It says "The value of SQUARE ROOTED K."

So all you have to do is square root them and whatever is in between 2.2 and 2.3 is ur answer. Ur answer 5 and 5.04.

The values of √k that lies between 2.2 and 2.3 is 5 and 5.04.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that √k falls between 2.2 and 2.3

For k = 1.49, √1.49 = 1.22 which is not between 2.2 and 2.3

For k = 4.8, √4.8 = 2.19 which is not between 2.2 and 2.3

For k = 5, √5 = 2.2 3which is between 2.2 and 2.3

For k = 5.04, √5,04 = 2.23 which is between 2.2 and 2.3

For k = 5.3, √5.3 = 2.302 which is not between 2.2 and 2.3

For k = 6, √6 which is not between 2.2 and 2.3

The values of √k that lies between 2.2 and 2.3 is 5 and 5.04.

Find out more on equation at: https://brainly.com/question/2972832

What is the value of the expression 2 x 7 + 9 − 3 ÷ 3?

Answers

Answer:

Answer is 22

Step-by-step explanation:

2×7+9-3÷3

14+9-1

23-1

=22

I hope it's helpful!

Answer: 22

Step-by-step explanation:

I did it on paper and got 22. I checked my answer by using a calculator and it also said 22. Correct me if I'm wrong. Hope this helped

How much money would be in an account after 20 years if you deposited $5000 in a mutual fund
which compounds interests 5% annually?

Answers

Answer:

$5130.84  

Step-by-step explanation:

100 + 3 = 103%

103% = 1.013

$5000 x 1.013^2 = $5130.84

Hope this helps biiiieeee

Help me please!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

X=5 and 3

Answer: a. x=3 or 5

Step-by-step explanation:

x^2-8x+15=0

When factoring this equation we need to find 2 numbers that multiply to get positive (15) and add to get negative (-8)

So -3 and -5 fit this description because -3+-5=-8 and -3*-5=15

(x-3)(x-5)=0

Solve for values of x to get x=3 and x=5

so X=3 or 5

Match the statements written in English with the mathematical statements.
Group of answer choices I will give brainiest

The number -4 is a distance of 4 units away from 0 on the number line.
[ Choose ]

The number -63 is more than 4 units away from 0 on the number line.
[ Choose ]

The number 4 is greater than the number -4.
[ Choose ]

The numbers 4 and -4 are the same distance away from 0 on the number line.
[ Choose ]

The number -63 is less than the number 4.
[ Choose ]

The number -63 is further away from 0 than the number 4 on the number line.
[ Choose ]

Answers

Answer:

1

Step-by-step explanation:

A. Region C
B. Region D
C. Region A
D. Region B

Answers

Answer:

c

Step-by-step explanation:

C................................
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