Thinking about the different types of numbers you learned in this unit, how would you help someone remember the differences between rational and irrational numbers?

Answers

Answer 1

Irrational numbers can NOT be written as fractions, with rational numbers in the fraction both numerator and the denominator are written as whole numbers. While a irrational can not be written in fraction form it can be written as a decimal because it will go on forever. An example of an irrational number would be π or 3.14.... An example of a rational number could be 5, or 8/2.I hope this helps!

Answer 2

The Difference between Rational numbers and Irrational numbers are given as follows

Rational numbers = A number of the form [tex]\dfrac{p}{q}[/tex] when [tex]q\neq 0[/tex] is called as a Rational number

Example = Any fraction of the form p/q such as 2/3 , -3/11 and 5/12

Irrational number = A number that can not be expressed in the form of [tex]\dfrac{p}{q}[/tex] or nor it can be represented as a recurring decimal form then it is called as Irrational number

These are of the form [tex]\sqrt[n]{x}[/tex] where we can not simplify positive integer x

Example = [tex]\sqrt{2}[/tex] , [tex]\sqrt{3}[/tex] ,[tex]\sqrt[3]{5}[/tex]

These both types of numbers belong to the category of Real numbers as they fall on Real number line.

Rational numbers with denominators = 1 are called as Integers

Surds are the categories of Irrational numbers are

Surds are the values of square root of any positive number that can not be simplified further to a whole number

Some examples of Surds are [tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex]

For more information please refer to the link below

https://brainly.com/question/17450097

Related Questions

19.5% to a fraction

Answers

19.5% = .195
.195 = [tex] \frac{39}{200} [/tex]

39/200 that is the fraction.

Solve for x. 4.6x<−15.64 Enter your answer, as an inequality, in the box.

Answers

If you would like to solve 4.6 * x < - 15.64 for x, you can use the following steps:

4.6 * x < - 15.64 /4.6
x < - 15.64/4.6
x < - 3.4

The correct answer would be x < - 3.4.

The value of x in expression 4.6x < -15.64 will be equal to x < -3.4.

An expression 4.6x < -15.64 is given in the question.

We have to find that what will be the value of x.

What do you mean by inequalities ?

Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.

As per the question ;

The given expression is ;

4.6x < -15.64

Let's solve it to get the value of x.

⇒ 4.6 x < -15.64

⇒ x < -15.64 / 4.6

⇒ x < -3.4

Thus , the value of x in expression 4.6x < -15.64 will be equal to x < -3.4.

To learn more about inequalities click here ;

brainly.com/question/27990392

#SPJ2

What does 5/9-2/3x(-1/4)=

Answers

5/9 - 2/3 * (-1/4)=
5/9 + 1/6=
(10 + 3)/18 =
13/18

Round 28.26 to one decimal place

Answers

28.26
(Use 0.2 to round 8.0)
2 is less than 5 so keep the number as :

28

Hoped I helped!

The answer is 28.3. All you have to do is go up a number in the tenths place if the number in the hundredths is 5 or larger. The tenths stays the same if it's 4 or lower.

9n+21−3n−24 simplify

Answers

Alright First you combine the like terms.
9n - 3n = 6n
21 - 24 = -3

Rewrite the simplified equation
6n - 3 = 0

Solve for n
6n = 3
n = 3/6
n = 1/2

Ask if you need more help! :)

what is the square root of 49/121?

Answers

The square root of 49/121 is 0.05785123966

Rewrite using the quotient rule for radicals.√49√12149121Simplify the numerator.Tap for fewer steps...Rewrite 4949 as 7272.√72√12172121Pull terms out from under the radical, assuming positive real numbers.7√1217121Rewrite 121121 as 112112.7√1127112Pull terms out from under the radical, assuming positive real numbers.711711The result can be shown in both exact and decimal forms.Exact Form:7/11Decimal Form:0.63 repeating

Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate HOW many pounds of food would the zookeeper need everyday to feed 6 adult gorillas

Answers

Ur total will be 240 lb of food bc if u have 1 adult gorilla a total of 40 u just do 40 *6

HURRY MATH QUESTION DOWN BELOW

Answers

The answer should be 18/54

G(4)=x^2 + 3

And the steps to solve, please.

Answers

okay, so plug in 4 into all x

G(4) = (4)^2 + 3
G(4) = 16 + 3
G(4) = 19

your answer is 19

hope this helps

in this type of question, you just need to replace all the X in the equation with 4 and finish the rest of the calculation like usual

G(4)=x^2 + 3

G(4) = 4^2 + 3

G(4) = 16 + 3

G (4) = 19

What is 3x5+2x8+2 do you know

Answers

Parenthesis
Exponents
Multiplication/division
3x5=15
2x8=16
15+16+2
33

the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the buildings height

Answers

Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.

Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft

so h = building height = (80 ft)(2.75) = 219.8 ft

What is the equation of the graphed line?

enter answer in slope-intercept form in the box

Answers

The answer:
y= -9/8x+7

Answer:

[tex]y=-\frac{9}{8}x+7[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept

point [tex](8,-2)[/tex]

substitute the value of x , y and b in the equation to solve for m

[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]

[tex]m(8)=-2-7[/tex]

[tex]m=-9/8[/tex]

therefore

the equation is equal to

[tex]y=-\frac{9}{8}x+7[/tex]

ryan has a board that is 5 feet long. how many 1/3-foot sections can he cut from this board?

Answers

Ryan can cut 15 pieces from the board

Answer:

Step-by-step explanation:

Evaluate. (1/4)^-2 - (5^0×2)×1^-1

Answers

14 would be the answer
Hope this helps...

(1/4)^-2 - (5^0×2)×1^-1
(1/4)^-2 - (1×2)×1^-1
(1/4)^-2 - 2×1^-1
0.25^-2 - 2×1^-1
16 - 2×1
16 - 2
14

You're welcome

which numbers represents a repeating decimal -2/5, -7, 3/9, 11/12

Answers

-2/5=-.4
-7=-7

These two are repeating decimals.
3/9=.3333334
11/12=.9166667

Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day?
When will the meet?

Answers

I think this is fake but ima say my answer anyway subtract 17 by 14 and u have ur answer I think I don't think this is a math question but, little tiny tottie Middle schoolers have it different in highschool so I don't know.

A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?

Answers

F = k x
15 = k *10
k = 1.5

check:
24 = 1.5 x
x = 16 sureenough

so 1.5 oz/inch
= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz

The spring stretch 0.6 inches per ounce of additional weight.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A weight of 15 ounces stretches a spring 10 inches.

∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,

= (10/15) inches.

= 0.6 inches of increase in length per ounce.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ5

Patricia donated 1 pint of blood to the blood bank. The lab assistant divided Patricia’s blood equally into 3 bags.

How much blood was in each bag?

Answers

0.333333333 US pints would be in each bag.

Each bag contained [tex]$\frac{1}{3}$[/tex] pint of blood.

To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.

Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag.

The calculation is as follows:

[tex]\[ \text{Blood per bag} = \frac{\text{Total blood donated}}{\text{Number of bags}} \][/tex]

[tex]\[ \text{Blood per bag} = \frac{1 \text{ pint}}{3} \][/tex]

[tex]\[ \text{Blood per bag} = \frac{1}{3} \text{ pint} \][/tex]

Therefore, each bag contains [tex]$\frac{1}{3}$[/tex] pint of blood.

I am so stuck please explain to me how to do this. If you can do this, please do!

Directions: Write each decimal as a fraction or a mixed number.

10.9

00.8

4.125

0.0075

8.016

0.055

Answers

well, I think what u could do is put 1 where the decimal is and 0 by however many numbers there are, for example, 1.13/ 100. There is a 1 for the decimal and two 0 for the two numbers. And then simplify as much as you can and then make it into a mixed fraction if you have to like if it is 9/5 or something

grace has 2 cups of strawberries and plans to divide this amout into equal parts to make 3 strawberry pies what fracion of a cup of strawberries will be used for each pie?

Answers

2/3 is the fraction to the answer you just asked on brainly

Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.

Answers

First, convert all pounds andou8nced to decimal pounds.
To do that, divide the number of ounces by 16 and add to the number of pounds.
For example, 152 lb 4 oz = 152 lb + 4/16 lb= 152.25 lb
14 lb 8 oz = 14 lb + 8/16 lb = 14.5 lb
Do the above for all given weights.

For each line, do this.
Divide the number in the left column by the number in the middle column.
For example, 152.25/14.5 = 10.5. Since the ratios are always the same, the first column is always 10.5 times the middle column.
If you are given the left column, divide by 10.5 to find the middle column.
If you are given the middle column, multiply by10.5 to find the left column.
Finally, add the left and middle columns to find the right column.

1.9x=3x-36 Solve for X

2. 9z+10=1-3(5-3z) How many solutions does the equation have?

3.3y+10/4=2y what is the value of Y

4.2x+4=2(x+2) What statement about the equation is true

5.4(z-5) +2 =4z-18 how many solutions does this equation have

Answers

1.9 * 3 = 27
3 * 3 = 9
36 - 9 = 27
so x = 3
2. 9z + 10 = 1 - 3(5 - 3z)
9z + 10 = 1 - 15 + 9z
9z + 10 = 9z - 14
9z - 9z = -14 - 10
0 = - 24....incorrect

This equation has no solutions....0 solutions
3. Y=2 that's your answer:
Times it by 4:
3y+10 = 2y*4
3y+10 = 8y

Move the 12y over to the other side:
10 = 8y - 3y
10 = 5y

Divide both sides by 5:
10/5 = 5y/5
2 = y
4. The equation has many solutions
5. Distribute the 4:
4z - 20 + 2 = 4z - 18
Subtract 4z
-20 + 2 = -18
-18 = -18
This is true so that means there are infinite number of solutions and z could be anything
Hope this helps!

Show how to multiply 6x298 using friendly numbers and then using properties and mental math. Write about which method you like better and why

Answers

Rewrite 6*298 as 6(300-2). Mult 300 by 6: result is 1800. Mult -2 by 6; result is -12. Thus, 6*298 = 1800-12 = 1788.

You could also estimate the answer by mult. 6 and 300. The result is, of course, 1800.

A keyboard is on sale for $676. If this price represents a 20% discount from the original price, what is the original price to the nearest cent?

Answers

original price is $811.2 because $676 x 1.2 = $811.2

5d - 1 = -11
What is d?

Answers

5d - 1 = -11

5d = -11 + 1

5d = -10

d = -10/5

d = -2

hope this helped, God bless!

The answer is D= -2
Hope this helps :)

anna has 12 quarters 4 dimes 11 nickels in her piggy bank. how much money is in the bank
A) $3.00
B) $3.25
C) $3.75
D) $3.95

Answers

12*0.25=3
4*0.10=0.40
11*0.05=0.55
3+0.40+0.55=$3.95

the answer is d. 12 quarters equal $3, 4 dimes equal $.40 and 11 nickels equal $.55

What is the area of figure EFGHI below?

Answers

Answer:

The answer is C.

Step-by-step explanation:

I learned about it.

George ran 1.1 miles, took a break, and then ran 2.1 more miles. How many meters did George run in all?

Answers

First, you would need to calculate how many miles George ran.
1.1 mi + 2.1 mi = 3.2 mi

Now, 1 mile = 1,609.34 meters, so you would multiply the number of meters per mile by the number of miles.
3.2 × 1,609.34 = 5,149.9 meters

George ran 5,149.9 meters in all.

I hope this helps!

Given f(x)= -4x+7, find f(1)

Answers

Hi there!

To find f(1), plug in x=1 into the equation
f(1) = -4(1) + 7
= -4 + 7
= 3
That's your answer.
Have an awesome day! :)

From your friendly Helper-in-Training, collinjun0827

You replace x with 1, so this looks like:
-4(1) + 7
-4 * 1 also equals -4, so, -4(1) + 7 = -4 + 7. -4 is the slope (down 4 to the left 1), and 7 is the y-intercept, so there should be a point on 7 on the up and down line which is y.

Which of the following is not a possible value for a probability?

A. 0.001
B. 1/10
C. 11/10
D. 1/16

Answers

C, 11/10 is not a possible value for probability, as it is not an actual situation one could be in. For example, if you can get a maximum of ten questions correct on your quiz, and you get eleven correct, that would no make much sense in the real world, unless if you consider extra credit an "extra question."

C. 11/10

probability takes values from 0 to 1.

Other Questions

A baseball m=.34kg is spun vertically on a massless string of length l=.52m. the string can only support a tension of tmax=9.9n before it will break. what is the max possible speed of the ball at the top of the loop in m/s? The three largest countries in population size in the north africa/southwest asia realm are Write a 3-digit number using the digits 5,9, and 2. Then write your number using words. In what way was Martin Luther a crude man? Explain the 2 of the statements that he made. Discuss the actions taken by the read_item and write_item operations on a database. In a written message, a claim must be ________ with strategic support. How many boatwright sisters are there in the secret life of bees? Kevin has had a checking account for a month. As he reconciles his account, Kevin notices that the dates on his check register do not match the dates on his account statement. He immediately calls the bank to find out what the problem is. What is the bank's likely response to Kevin?A- "you obviously made a mistake and you should be careful"B-"sorry we entered the wrong dates but thanks for telling us, we will fix it immediately"C-"theres a serious problem with your account, please bring us all your records and info so we can check it"D-"The date that the check is written is usually a few days before it is cashed. We record when it was cashed and you record when its written" If an atom has 25 protons and 23 electrons what is the net charge? Looking up a word in a dictionary can be a complicated process. for example, assume you want to look up "logic." you might open the dictionary to a random page and see "juice." you know this word comes alphabetically before "logic," so you flip forward and see "lamb." that is still not far enough, so you flip forward and see "monkey." you have gone too far, so you flip back, and so on. draw a structured flowchart or write pseudocode that describes the process of looking up a word in a dictionary. pick a word at random and have a fellow student attempt to carry out your instructions. rotate 270 clockwise around the origin (8,0)(11,-5)(14,-2) Why does batman brush his teeth so often answer key with work? The total potential and kinetic energy of an object is called Finn chooses to enter relationships only with people who share his interests in sports and work. whenever he finds himself having less in common with a friend, he leaves the relationship. what cultural dimension does finn display a quarterback made 345 pass completions during one football season. if this was 60% of his attempts,how many passes did he attempt? the perimeter of a rectangle that is x units wide and y units long is 24 centimeters.A.) Write an equation in standard form for the perimeter B.) Find the x and y units. Does either intercept make sense as a solution for this situation? Explain. What produces the acid ph indicating that fat digestion has occurred? A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the circumference in order to buy tile to put around the edge of the pool. What is the circumference if he uses =22/7 ? Evaluate 390mm to 13cm as a ratio in its lowest terms Explain why mitosis does not produce genetic variation and how meiosis leads to the production of tremendous genetic variation. Steam Workshop Downloader