1.

If a number is not a rational number, then it is _____. (1 point)

an integer
an irrational number
a whole number
a radical

2.
A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of the picture frame? (1 point)

21
15
8
6

3.
Which number is a perfect cube? (1 point)

7
25
27
66

4.
When adding square root 9 and – 7, which type of number is the sum? (1 point)

irrational
whole number
radical
integer

5.
What is square root 36 over 49? (1 point)

18 over 25
20 over 27
6 over 7
8 over 9

6.
Tomas needs to cut a piece of wood for a model airplane he is building. He has four pieces of wood: 5 feet, 4 feet, 6 feet, and 3 feet long. If the length of wood he needs to cut is square root 11 feet long, which piece of wood should he cut to have the least amount of unused wood? (1 point)

3 feet
4 feet
5 feet
6 feet

7.
If the sail of a ship is 10 feet long and has a diagonal length of 26 feet, what is the height of the sail, in feet? (1 point)

29
24
17
8

8.
Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point)

Rhonda: "Use square root 16 and square root 25 to estimate."
Ricardo: "I use square root 25 and square root 36."
Riley: "It should be between square root 36 and square root 49."
Rhiannon: "Use square root 49 and square root 64 to estimate."

9.
Which of these nonterminating decimals can be converted into a rational number? (1 point)

0.48907542 . . .
0.02020202 . . .
0.92589542 . . .
0.10203040 . . .

10.
Paul is painting a square wall with an area of 115 square feet. To the nearest foot, what is the length of the wall? (1 point)

11
29
42
58

11.
Robbie draws a square with an area of 856 square inches. What is the approximate length, in inches, of one side of the square? (1 point)

30
29
26
24

12.
Which statement is true? (1 point)

Every integer is an irrational number.
Every integer is a whole number.
Every square root is a rational number.
Every rational number can be written as a fraction.

Can someone give all answers? I need them for a one hundred! PLEASE????

1D

2C
3D
4A
5A
6A
7C
8C

1. irrational means not rational

So if a number is not rational, then it is irrational
B

#2, h^2 = 12^2 + 9^2 = 225

h = √225 = 15 , so B

#3 C, 3^3 = 27 , none of the others are cubes

#4 √9 - 7 = 3-7 = -4 , which is an integer, so D

#5 C , √(36/49) = 6/7

#6 He needs √11 which is appr 3.3 , so your choice of a piece of 3 feet would not even be long enough, so B

#7, h^2 + 10^2 = 26^2
h^2 = 576
h = 24 , so B

So far you have missed them all. Even just guessing you should have had one right by now

8# √37 = appr 6.08
and √36=6 and √49 = 7
so it lies between √36 and √49 , choice C
YEAHH, you had that.

#9 Yeahh
#10 √115 = appr 10.7
so to the nearest foot, side = 11, which is choice A

#11, √856 = appr 29.3 you had 29 YEAHHH
#12, Yeahhh

Convert 0.96 to a fraction. The answer should be given in simplest form.

1. If a number is not a rational number, then it is an irrational number. To determine whether a number is rational or irrational, we need to check if it can be expressed as a fraction of two integers. If it cannot be expressed as a fraction, then it is irrational.

2. To find the diagonal length of a rectangle or square, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the diagonal is equal to the sum of the squares of the lengths of the two sides of a right triangle. In this case, we have a rectangle with sides of 12 inches and 9 inches. Using the Pythagorean theorem, we can calculate the diagonal length as follows:

Diagonal length = sqrt(12^2 + 9^2)
= sqrt(144 + 81)
= sqrt(225)
= 15 inches

Therefore, the diagonal length of the picture frame is 15 inches.

3. A perfect cube is a number that can be expressed as the cube of an integer. In this case, the number 27 is a perfect cube because it can be expressed as 3^3. The cube root of a perfect cube is an integer. So, 27 is a perfect cube.

4. When adding the square root of 9 and -7, we are adding two numbers with different types. The square root of 9 is a rational number because it can be expressed as a fraction (3/1). On the other hand, -7 is an integer (which is also a rational number). When adding a rational number with an integer, the sum is always a rational number. Therefore, the sum of the square root of 9 and -7 is a rational number.

5. To simplify square root 36 over 49, we can calculate the square root of both numbers separately. The square root of 36 is 6, and the square root of 49 is 7. So, the simplified form is 6 over 7.

6. To determine which piece of wood Tomas should cut in order to have the least amount of unused wood, we need to find the piece of wood that is closest in length to the square root of 11 feet.

The square root of 11 is approximately 3.316. Among the given options, the piece of wood that is closest in length to 3.316 feet is the 3-foot piece of wood. Therefore, Tomas should cut the 3-foot piece of wood to have the least amount of unused wood.

7. To find the height of the sail of a ship, we can use the Pythagorean theorem again. The diagonal length of 26 feet represents the hypotenuse of a right triangle, and the height of the sail represents one of the legs. The other leg would be the length of the sail, which is given as 10 feet.

Using the Pythagorean theorem, we can calculate the height of the sail as follows:

Height^2 + 10^2 = 26^2
Height^2 + 100 = 676
Height^2 = 676 - 100
Height^2 = 576
Height = sqrt(576)
Height = 24 feet

Therefore, the height of the sail is 24 feet.

8. To estimate the square root of 37, we can compare different square roots that we know. Rhonda suggests using the square roots of 16 and 25, but these numbers are smaller than 37, so the estimate will be too low. Ricardo suggests using the square roots of 25 and 36, which are closer to 37. This estimate will be higher than the actual square root of 37. Riley's estimate using the numbers between 36 and 49 is better because it covers a wider range, but it's still slightly higher than the actual square root of 37. Rhiannon's estimate using the square roots of 49 and 64 is too high since both numbers are larger than 37.

Therefore, Riley is closest to finding the true estimate.

9. To determine which nonterminating decimal can be converted into a rational number, we need to look for any patterns in the decimal representation. A rational number can be expressed as a fraction, which means its decimal representation either terminates or has a repeating pattern.

Among the given options, the decimal 0.02020202... has a repeating pattern of 02. This means it can be converted into a rational number. The other decimals do not have a repeating pattern, so they cannot be converted into rational numbers.

Therefore, 0.02020202... can be converted into a rational number.

10. To find the length of the square wall with an area of 115 square feet, we need to take the square root of 115. Taking the square root will give us the length of one side of the square.

The square root of 115 is approximately 10.723. Since we are looking for the length to the nearest foot, the length of the wall is approximately 11 feet.

Therefore, the length of the wall is 11 feet.

11. To find the approximate length of one side of a square with an area of 856 square inches, we need to take the square root of 856. Taking the square root will give us the length of one side of the square.

The square root of 856 is approximately 29.27. Therefore, the approximate length of one side of the square is 29 inches.

12. The statement that is true is: Every rational number can be written as a fraction. A rational number is any number that can be expressed as the ratio of two integers, where the denominator is not zero. This means that every rational number can be written in the form of a fraction. Irrational numbers cannot be expressed as fractions, and not all integers are whole numbers (e.g., negative integers). While some square roots can be rational numbers, not all square roots fall into that category. Therefore, the statement that is true is that every rational number can be written as a fraction.

8.Rhonda: "Use square root 16 and square root 25 to estimate."

9. 0.02020202 . . .
10. 42
11. 29
12. Every rational number can be written as a fraction