1. Which of the following numbers is a rational?

A. 4/5
B. square root of 27
C. 4.02002000200002... ****
D. Square root of 31

2. Which type of number is shown below?
0.313311333111...

A. repeating decimal
B. rational
C. irrational ****
D. terminating decimal

3. Select all the rational numbers from the list.

A. square root of 2
B.8.21221112221111 ***
C. 8.333333333... ***
D. square root of 80
E. square root of 25

4. Select all the irrational numbers from the list.

A. square root of 16
B.square root of 7 ***
C. 813.1 **
D. -9
E. 8.070070007...

5. Which of the following numbers is irrational?
A. square root of 36
B. 1/5
C. square root of 60 ****
D.6.3

PLEASE HELP!!!

1- 4/5

2- irrational
3- 8.3333.... and square root 25
4- square root 7 and 8.070070007
5- square root 60

You'll get a 100%

actually Sally,, Rosey is correct and you are wrong,, I just got a 100 on my test sooooooooooooooo do your research before you give false info :)):

Rosey is right

1. To determine which of the given options is a rational number, we need to recall that a rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers.

A. 4/5 is expressed as a fraction and has both the numerator and denominator as integers. Therefore, it is a rational number.

B. The square root of 27 cannot be expressed as a fraction, so it is an irrational number.

C. The number 4.02002000200002... is a repeating decimal, which means it can be expressed as a fraction. To determine the fraction, we let x = 4.02002000200002... and subtract it from 10000x:

10000x - x = 40200.2000200002... - 4.02002000200002...
9999x = 40200
x = 40200/9999

Since 40200 and 9999 are both integers, this number can be expressed as a fraction, making it a rational number.

D. The square root of 31 cannot be expressed as a fraction, so it is an irrational number.

Therefore, the rational number in the given options is A. 4/5.

2. To determine the type of number shown as 0.313311333111..., we need to analyze its decimal representation.

This decimal is repeating the pattern "3133" infinitely, which means it is a repeating decimal.

Therefore, the type of number shown is A. repeating decimal.

3. To select all the rational numbers from the list, we need to identify the numbers that can be expressed as fractions.

A. The square root of 2 cannot be expressed as a fraction, so it is an irrational number.

B. The number 8.21221112221111 repeats the pattern "212211" infinitely, so it is a repeating decimal and can be expressed as a fraction.

C. The number 8.333333333... repeats the decimal digit 3 infinitely, so it is a repeating decimal and can be expressed as a fraction.

D. The square root of 80 cannot be expressed as a fraction, so it is an irrational number.

E. The square root of 25 can be expressed as the fraction 5/1, so it is a rational number.

Therefore, the rational numbers from the list are B. 8.21221112221111 and C. 8.333333333...

4. To select all the irrational numbers from the list, we need to identify the numbers that cannot be expressed as fractions.

A. The square root of 16 can be expressed as the fraction 4/1, so it is a rational number.

B. The square root of 7 cannot be expressed as a fraction, so it is an irrational number.

C. The number 813.1 can be expressed as the fraction 8131/10, so it is a rational number.

D. The number -9 can be expressed as the fraction -9/1, so it is a rational number.

E. The number 8.070070007... repeats the pattern "070" infinitely, so it is a repeating decimal and can be expressed as a fraction.

Therefore, the irrational numbers from the list are B. square root of 7.

5. To determine which of the given options is an irrational number, we need to recall that an irrational number cannot be expressed as a fraction and often involves non-terminating decimals.

A. The square root of 36 can be expressed as the fraction 6/1, so it is a rational number.

B. 1/5 can be expressed as the fraction 1/5, so it is a rational number.

C. The square root of 60 cannot be expressed as a fraction, so it is an irrational number.

D. 6.3 can be expressed as the fraction 63/10, so it is a rational number.

Therefore, the irrational number in the given options is C. square root of 60.

rosey is wrong...........