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Absolute Value: Distance on Number Line
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Question 1
The absolute value of a number refers to its ___________ from zero.
Responses
A sumsum
B distancedistance
Question 2
What is the absolute value of -6?
Responses
A -6-6
B 66
Question 3
How do we write the absolute value of -6?
Responses
A ±6±6
B |-6||-6|
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Answer 1

Let's address each question:

Question 1: The absolute value of a number refers to its ___________ from zero.

• The correct response is B: distance.

Question 2: What is the absolute value of -6?

• The correct response is B: 6.

Question 3: How do we write the absolute value of -6?

• The correct response is B: | -6 |.

If you have any more questions, feel free to ask!

Answer 2

Show Transcript
Question 1
3 + __ = 0
Responses
A –3–3
B 00
Question 2
Another name for "inverse" is
Responses
A valuevalue
B opposite

Answer 3

Here are the answers to your questions:

Question 1: 3 + __ = 0

• The correct response is A: -3. (Because 3 + (-3) = 0)

Question 2: Another name for "inverse" is

• The correct response is B: opposite.

If you have any more questions or need further assistance, feel free to ask!

Answer 4

What is 4 - 1 1/4 + 1/2


?
Responses
A

2 7/16
B 2 3/4
C

2 1/4
D 3 1/4

Answer 5

To solve the expression \( 4 - 1 \frac{1}{4} + \frac{1}{2} \), let's break it down step by step.

1. Convert \( 1 \frac{1}{4} \) to an improper fraction: \[ 1 \frac{1}{4} = \frac{5}{4} \]

2. Now substitute this back into the expression: \[ 4 - \frac{5}{4} + \frac{1}{2} \]

3. Convert 4 into a fraction with a denominator of 4: \[ 4 = \frac{16}{4} \]

4. Now rewrite the expression: \[ \frac{16}{4} - \frac{5}{4} + \frac{1}{2} \]

5. Convert \( \frac{1}{2} \) into a fraction with a denominator of 4: \[ \frac{1}{2} = \frac{2}{4} \]

6. Now substitute back into the expression: \[ \frac{16}{4} - \frac{5}{4} + \frac{2}{4} \]

7. Combine the fractions: \[ \frac{16 - 5 + 2}{4} = \frac{13}{4} \]

8. Convert the improper fraction back to a mixed number: \[ \frac{13}{4} = 3 \frac{1}{4} \]

So the answer is D: 3 1/4.

Answer 6

Simplify.

425.82 − (−120.75)
Responses
A 305.07305.07
B 413.47413.47
C 496.57496.57
D 546.57

Answer 7

To simplify the expression \( 425.82 - (-120.75) \), we can rewrite it as:

\[ 425.82 + 120.75 \]

Now, let's perform the addition:

1. Add the two numbers:

\[ 425.82 + 120.75 = 546.57 \]

Thus, the simplified result is D: 546.57.

Answer 8

Simplify this expression.
-7/10 - (-5/3)
Responses
A −

− 8 1/3
B

1/4
C

2/3
D 29/30

Answer 9

To simplify the expression \(-\frac{7}{10} - (-\frac{5}{3})\), we can rewrite it as:

\[ -\frac{7}{10} + \frac{5}{3} \]

Now, we need to find a common denominator to add these two fractions. The least common multiple of 10 and 3 is 30.

Now, convert both fractions to have a denominator of 30:

1. Convert \(-\frac{7}{10}\):

\[ -\frac{7}{10} = -\frac{7 \times 3}{10 \times 3} = -\frac{21}{30} \]

2. Convert \(\frac{5}{3}\):

\[ \frac{5}{3} = \frac{5 \times 10}{3 \times 10} = \frac{50}{30} \]

Now we can combine the two fractions:

\[ -\frac{21}{30} + \frac{50}{30} = \frac{50 - 21}{30} = \frac{29}{30} \]

So, the simplified result is D: \(\frac{29}{30}\).

Answer 10

Anna is evaluating some rational expressions. Which THREE are correct?
Responses
A 152 − 200 = −48152 − 200 = −48
B −25 + (−25) = 0−25 + (−25) = 0
C 89 − (−17) = 10689 − (−17) = 106
D 134 − (−16) = 118134 − (−16) = 118
E −39 − (−28) = −11

Answer 11

Let's evaluate each of the responses one by one to determine which ones are correct:

A: \(152 - 200 = -48\)
This statement is correct.
Calculation:
\[ 152 - 200 = -48 \]

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B: \(-25 + (-25) = 0\)
This statement is incorrect.
Calculation:
\[ -25 + (-25) = -50 \]

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C: \(89 - (-17) = 106\)
This statement is correct.
Calculation:
\[ 89 - (-17) = 89 + 17 = 106 \]

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D: \(134 - (-16) = 118\)
This statement is incorrect.
Calculation:
\[ 134 - (-16) = 134 + 16 = 150 \]

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E: \(-39 - (-28) = -11\)
This statement is correct.
Calculation:
\[ -39 - (-28) = -39 + 28 = -11 \]

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Summary of Correct Answers:

The three correct expressions are A, C, and E.