The learner will determine the sign of the sum or of the difference of two real numbers.
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a - b
if a > 0, b < 0 and |a| < |b|?
Correct Answer
positive
Because b is negative, converting the subtraction to an addition produces the sum of two positive numbers; therefore the difference, a - b, will be positive. Example: 2 - (-9) = 2 + 9 = 11
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a - b
if a > 0, b < 0 and |a| < |b|?
Your Answer
Correct Answer
positive
Because b is negative, converting the subtraction to an addition produces the sum of two positive numbers; therefore the difference, a - b, will be positive. Example: 2 - (-9) = 2 + 9 = 11
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a > 0, b < 0 and |a| > |b|?
Correct Answer
positive
Because the positive value, a, has a larger absolute value, the sum will be positive. Example: 12 + (-5) = 7
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a > 0, b < 0 and |a| > |b|?
Your Answer
Correct Answer
positive
Because the positive value, a, has a larger absolute value, the sum will be positive. Example: 12 + (-5) = 7
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a < 0, b > 0 and |a| = |b|?
Correct Answer
zero
Because one of the numbers, a, is negative, the other number, b, is positive and the absolute values of the numbers are equal, the numbers are opposites and the sum will be 0.
Example: -3 + 3 = 0
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a < 0, b > 0 and |a| = |b|?
Your Answer
Correct Answer
zero
Because one of the numbers, a, is negative, the other number, b, is positive and the absolute values of the numbers are equal, the numbers are opposites and the sum will be 0.
Example: -3 + 3 = 0
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a > 0, b < 0 and |a| < |b|?
Correct Answer
negative
Because the negative number, b, has a larger absolute value, the sum will be negative. Example: 4 + (-9) = -5
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a > 0, b < 0 and |a| < |b|?
Your Answer
Correct Answer
negative
Because the negative number, b, has a larger absolute value, the sum will be negative. Example: 4 + (-9) = -5
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a < 0, b < 0 and |a| < |b|?
Correct Answer
negative
Because both numbers are negative, the sum will be negative. Example: -8 + (-10) = -18
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a < 0, b < 0 and |a| < |b|?
Your Answer
Correct Answer
negative
Because both numbers are negative, the sum will be negative. Example: -8 + (-10) = -18
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a - b
if a > 0, b > 0 and |a| > |b|?
Correct Answer
positive
Because both numbers are positive and a is greater than b, the difference will be positive. Example: 14 - 9 = 5
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a - b
if a > 0, b > 0 and |a| > |b|?
Your Answer
Correct Answer
positive
Because both numbers are positive and a is greater than b, the difference will be positive. Example: 14 - 9 = 5
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a < 0, b < 0 and |a| = |b|?
Correct Answer
negative
Because both numbers are negative, the sum will be negative. Example: -6 + (-6) = -12
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a < 0, b < 0 and |a| = |b|?
Your Answer
Correct Answer
negative
Because both numbers are negative, the sum will be negative. Example: -6 + (-6) = -12
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a - b
if a > 0, b < 0 and |a| > |b|?
Correct Answer
positive
Because b is negative, converting the subtraction to an addition produces the sum of two positive numbers; therefore the difference, a - b, will be positive. Example: 7 - (-3) = 7 + 3 = 10
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a - b
if a > 0, b < 0 and |a| > |b|?
Your Answer
Correct Answer
positive
Because b is negative, converting the subtraction to an addition produces the sum of two positive numbers; therefore the difference, a - b, will be positive. Example: 7 - (-3) = 7 + 3 = 10
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a > 0, b > 0 and |a| > |b|?
Correct Answer
positive
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a > 0, b > 0 and |a| > |b|?
Your Answer
Correct Answer
positive
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Correct!
What is the sign of a + b
if a > 0, b > 0 and |a| = |b|?
Correct Answer
positive
Because both numbers are positive, the sum will be positive. Example: 5 + 5 = 10
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1
Incorrect
What is the sign of a + b
if a > 0, b > 0 and |a| = |b|?
Your Answer
Correct Answer
positive
Because both numbers are positive, the sum will be positive. Example: 5 + 5 = 10
Question 1 of 10
Score
You have answered 5 of 10 questions correctly.
50%
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Question 1 of 10
- Author
- Published
- 11/6/2013
- Last Updated
- 11/6/2013
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Adding and Subtracting Signed Numbers Set 1 by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.