Select the correct description for each number:(1 point)
a) 8/9 is a ? and a ? decimal.
b)radical symbol 49 is a ? and a ? decimal.
c) -0.071625... is a ? and a ? decimal.
d) 1/4 is a ? and a ? decimal.
e) -0.030303... is a ? and a ? decimal.
a) 8/9 is a rational and a recurring decimal.
b) radical symbol 49 is an irrational and a terminating decimal.
c) -0.071625... is a rational and a non-terminating, non-repeating decimal.
d) 1/4 is a rational and a terminating decimal.
e) -0.030303... is a rational and a repeating decimal.
which number is a rational, terminating decimal?
a. 5/11
b. 7/9
c. 0.363636...
d. radical symbol 64
a. 5/11 is a rational, terminating decimal.
closest number on a number line.
a. radical symbol 52
b. radical symbol 38
c. radical symbol 59
d. radical symbol 91
To find the closest number on a number line, we can look for the two whole numbers that the radical symbol's value lies between and determine which one it is closer to.
a. The whole numbers between which the square root of 52 lies are 7 and 8. Since the square root of 52 is closer to 7 than 8, the closest number on the number line is radical symbol 52 closest to radical symbol 49.
b. The whole numbers between which the square root of 38 lies are 6 and 7. Since the square root of 38 is closer to 6 than 7, the closest number on the number line is radical symbol 38 closest to radical symbol 36.
c. The whole numbers between which the square root of 59 lies are 7 and 8. Since the square root of 59 is closer to 8 than 7, the closest number on the number line is radical symbol 59 closest to radical symbol 64.
d. The whole numbers between which the square root of 91 lies are 9 and 10. Since the square root of 91 is closer to 10 than 9, the closest number on the number line is radical symbol 91 closest to radical symbol 100.
Therefore, the answers are:
a. radical symbol 49
b. radical symbol 36
c. radical symbol 64
d. radical symbol 100
A square garden has an area of 205 square feet.(2 points)
1) What is the approximate length of each side of the garden?
2) What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?
To find the approximate length of each side of the square garden, we can take the square root of the area.
1) The approximate length of each side of the garden is √205 feet. Using a calculator, we find that √205 is approximately 14.32 feet.
To find the approximate perimeter of the garden, we can multiply the length of one side by 4, as all sides of a square are equal.
2) The approximate perimeter of the garden is 4 x 14.32 feet = 57.28 feet.
Therefore, the approximate length of each side of the garden is 14.32 feet, and the approximate perimeter of the garden is 57.28 feet.
A student solved the following equation using the following steps:
4 (2 − 3x) = x − 2 (2x + 1)
8 − 3x = x − 4x − 2
8 − 3x = −3x − 2
Answer: No Solution (2 points)
Based on the student’s work, the equation was solved ?
The equation solved correctly would show that it has ?
Based on the student's work, the equation was solved incorrectly.
The equation should show that it has a unique solution.
The equation solved correctly would show that it has ?
options: no solution, one solution, infinitely many solutions, or two solutions?