the sum of a rational number and a irrational number

Answer: The sum of rational and irrational number is always irrational...

Answer:

When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.

(Rational number): A number that can be accurately expressed as the ratio of two integers. 　　 Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. 　　 Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. 　　 Irrational numbers refer to infinite and non-recurring decimals such as: π 　　·The difference between irrational and rational numbers: 　　 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. 　　 For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. 　　 For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 　　2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. 　　Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. 　　Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.

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Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.
If she rounds both values to the nearest ten, her estimate will be 800.
If she rounds both values to the nearest ten, her estimate will be 900.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000
If she rounds both values to the nearest ten, her estimate will be 1,600.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.

The distance from the floor of one level of the building to the floor of the level above it is 9 ft and 3/8 in. If the distance from the floor to the ceiling is 8 ft 2 and 1/2 in, how thick is the space between the ceiling of one floor and the floor of the level above it.​

Solve: Xber the robot has a problem: 3(x+3)-9, Xber's answer is 3x-6, is his answer true or false (right or wrong)?

Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if the radicand is There is one real solution if the radicand is There are no real solutions if the radicand is 1. y = negative 16 x squared + 32 x minus 10. x = StartFraction negative 32 plus-or-minus StartRoot 384 EndRoot Over negative 32 EndFraction. 2. y = 4 x squared + 12 x + 9. x = StartFraction negative 12 plus-or-minus StartRoot 0 EndRoot Over 8 EndFraction. 3. y = 3x squared minus 5 x + 4. x = StartFraction 5 plus-or-minus StartRoot negative 23 EndRoot Over 6 EndFraction.

Who Smokes More: Male Students or Female Students?

Information on a sample of 362 college students is collected. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke

if given f(x)=2x+5 what is f(4)

what is on left side of equation if f=11

Select the locations on the number line to plot the points 1. 4. and - 3​

2051
20
SINO-V3 COSO - 2
2​

Dina just accepted a new job. She expects to earn about $135 a week during the 34-week
school year and $450 a week during the remainder of the year. How much should Dina
earn next year?

The balance of an investment account is $308 more than the balance 4 years ago. The current balance of the account is $4708. What was the balance 4 years ago?

The baker has 42 kilograms of flour. She uses 8 kilograms each day.after how many days will she need to buy more flour?

27 x 36

What will this equal

Today Mary's aunt and grandmother came to visit. Her aunt visits every six days and her grandmother visits every eight days. The next time they will both visit Mary on the same day will be how many days?

5.104 greater or less than 5.41

Y = 3x(x -4) how many solutions

Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items with a $50 bill?


i don't get it

Determine and state the equation of the line perpendicular to the line 5x-4y = 10 and passing through the
point (5,12). (2 points)

Point N Is on line segment MO. Given NO= 14 and MO = 18 determine the length MN

Help quick ........ ...

Jose’s school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can get at least 25% of the student population to sign a petition. So far, 82 students have signed the petition. Jose used the following steps to write an inequality that can be used to determine the number of student signatures still needed:
Step 1. Declare the variable: Let x = the number of student signatures still needed.
Step 2. Create a ratio equivalent to StartFraction total number of signatures needed over total number of students in the school EndFraction : StartFraction x + 82 over 426 EndFraction.
Step 3. Convert 25% to a decimal: 25% = 0.25.
Step 4. Write the inequality: StartFraction x + 82 over 426 EndFraction less-than-or-equal-to 0.25.
What is Jose’s error?

write the fraction in vertical form.

3/5​

Sjon mixed 3 3/8 cups of red grapes with 4 1/2 cups of green grapes. He then divided the grapes into bags with 1/2 cup of mixed grapes in each. How many bags of grapes will Sjon have?
GIVING BRAINLIEST WORTH 100 POINTS

sans and papyrus are making spaghetti
sans used 90% of the cheddar
and papyrus used the other 10%
how much are they using to make the spaghetti

In need of more help I’m thankful for the answers you all have helped me with I need to pass

1.5x2/3 planhlefjdjsbshshsbsbdbshsbsbsbsbshshshshsh

A trader starts with 80 mangoes. She
sells 36 during the day. What percentage
of mangoes are left at the end of the
day:​

6c.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
Now find g(3).

How many solutions does the following system have?

2x+3y=1
-3x - 2y= - 1

infinitely many solutions
two solutions
one solution
no solutions

One half of a is 14 more than 2 times the number.find the number?