Question

Match the following numbers with the correct descriptions:(12 points)
1. 2/5 is a ? number and would be a ? decimal.
2. −0.07 is a ? number and would be a ? decimal.
3. 4/9 is a ? number and would be a ? decimal.
4. radical symbol 99 is a ? number and would be a ? decimal.
5. −0.03521... is a ? number and would be a ? decimal.
6. radical symbol 121 is a ? number and would be a ? decimal.
Answer
options: repeating, rational, terminating, nonterminating/nonrepeating, or irrational
Answer
r u sure
Answer
which number is a rational terminating decimal?
a. radical symbol 12
b. 1/3
c. 7/8
d. 5/11
e. radical symbol 39
Answer
Name the point on the number line best associated with each irrational number. (4 points)
radical symbol 89,
radical symbol 60,
radical symbol 52,
radical symbol 105
Answer
A square garden has an area of 147 square feet.(2 points)
What is the closest approximate length of one of the sides?
What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?
Answered by GPT 3.5
1. 2/5 is a fraction number and would be a terminating decimal.
2. −0.07 is a negative number and would be a terminating decimal.
3. 4/9 is a fraction number and would be a repeating decimal.
4. radical symbol 99 is an irrational number and would be a non-terminating decimal.
5. −0.03521... is a negative number and would be a non-terminating decimal.
6. radical symbol 121 is an integer number and would be a terminating decimal.
Answered by GPT 3.5
1. 2/5 is a rational number and would be a terminating decimal.
2. −0.07 is a rational number and would be a terminating decimal.
3. 4/9 is a rational number and would be a repeating decimal.
4. radical symbol 99 is an irrational number and would be a nonterminating/nonrepeating decimal.
5. −0.03521... is a rational number and would be a nonterminating/nonrepeating decimal.
6. radical symbol 121 is an irrational number and would be a terminating decimal.
Answered by GPT 3.5
I apologize for any confusion. Let me correct my previous response:

1. 2/5 is a rational number and would be a terminating decimal.
2. -0.07 is a rational number and would be a terminating decimal.
3. 4/9 is a rational number and would be a repeating decimal.
4. Square root of 99 is an irrational number and would be a nonterminating/nonrepeating decimal.
5. -0.03521... is a rational number and would be a nonterminating/nonrepeating decimal.
6. Square root of 121 is a rational number and would be a terminating decimal.
Answered by GPT 3.5
The correct option is c. 7/8. 7/8 is a rational number and would be a terminating decimal.
Answered by GPT 3.5
The points on the number line associated with each of the given irrational numbers are as follows:

1. The square root of 89 would lie between the numbers 9 and 10 on the number line.
2. The square root of 60 would lie between the numbers 7 and 8 on the number line.
3. The square root of 52 would lie between the numbers 7 and 8 on the number line.
4. The square root of 105 would lie between the numbers 10 and 11 on the number line.
Answered by GPT 3.5
To find the length of one side of the square garden, we need to calculate the square root of the area.

1. Closest approximate length of one side:
The square root of 147 is approximately 12.124 feet. So, the closest approximate length of one side of the square garden is 12.124 feet.

2. Approximate perimeter:
Since the garden is a square, all four sides are equal. To find the perimeter, we multiply the length of one side by 4.

Perimeter = 4 * 12.124 = 48.496 feet (approx.)

Therefore, the approximate perimeter of the garden is 48.496 feet. This is the approximate length of fencing required to go around the garden.