The learner will determine the sign of the sum or of the difference of two real numbers.
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a < 0, b > 0 and |a| = |b|?
Correct Answer
negative
Because b is positive, converting the subtraction to an addition produces the sum of two negative numbers; therefore the difference, a - b, will be negative. Example: -7 - 7 = -7 + (-7) = -14
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Incorrect
What is the sign of a - b
if a < 0, b > 0 and |a| = |b|?
Your Answer
Correct Answer
negative
Because b is positive, converting the subtraction to an addition produces the sum of two negative numbers; therefore the difference, a - b, will be negative. Example: -7 - 7 = -7 + (-7) = -14
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a > 0, b > 0 and |a| < |b|?
Correct Answer
negative
Because both numbers are positive, converting the subtraction to an addition produces a sum of a positive and a negative number. The negative number, -b, has a larger absolute value, so the difference, a - b, will be negative.
Example: 5 - 13 = 5 + (-13) = -8
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
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 positive, converting the subtraction to an addition produces a sum of a positive and a negative number. The negative number, -b, has a larger absolute value, so the difference, a - b, will be negative.
Example: 5 - 13 = 5 + (-13) = -8
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a > 0, b > 0 and |a| = |b|?
Correct Answer
zero
Because a and b are both positive numbers with the same absolute value, they are the same number. The difference will be 0.
Example: 5 - 5 = 0
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Incorrect
What is the sign of a - b
if a > 0, b > 0 and |a| = |b|?
Your Answer
Correct Answer
zero
Because a and b are both positive numbers with the same absolute value, they are the same number. The difference will be 0.
Example: 5 - 5 = 0
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a < 0, b < 0 and |a| = |b|?
Correct Answer
zero
Because b is negative, converting the subtraction to an addition produces the sum of opposites. The difference, a - b, will be 0.
Example: -14 - (-14) = -14 + 14 = 0
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Incorrect
What is the sign of a - b
if a < 0, b < 0 and |a| = |b|?
Your Answer
Correct Answer
zero
Because b is negative, converting the subtraction to an addition produces the sum of opposites. The difference, a - b, will be 0.
Example: -14 - (-14) = -14 + 14 = 0
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
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 creates the sum of two positive numbers. The difference, a - b, will be positive. Example: 5 - (-5) = 5 + 5 = 10
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
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 creates the sum of two positive numbers. The difference, a - b, will be positive. Example: 5 - (-5) = 5 + 5 = 10
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a < 0, b > 0 and |a| > |b|?
Correct Answer
negative
Because b is positive, converting the subtraction to an addition creates the sum of two negative numbers. The difference, a - b, will be negative. Example: -10 - 3 = -10 + (-3) = -13
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Incorrect
What is the sign of a - b
if a < 0, b > 0 and |a| > |b|?
Your Answer
Correct Answer
negative
Because b is positive, converting the subtraction to an addition creates the sum of two negative numbers. The difference, a - b, will be negative. Example: -10 - 3 = -10 + (-3) = -13
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a < 0, b > 0 and |a| < |b|?
Correct Answer
negative
Because b is positive, converting the subtraction to an addition creates the sum of two negative numbers. The difference, a - b, will be negative. Example: -7 - 12 = -7 + (-12) = -19
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Incorrect
What is the sign of a - b
if a < 0, b > 0 and |a| < |b|?
Your Answer
Correct Answer
negative
Because b is positive, converting the subtraction to an addition creates the sum of two negative numbers. The difference, a - b, will be negative. Example: -7 - 12 = -7 + (-12) = -19
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Correct!
What is the sign of a - b
if a < 0, b < 0 and |a| > |b|?
Correct Answer
negative
Because b is negative, converting the subtraction to an addition produces the sum of a negative and positive number. Since the negative number, a, has the larger absolute value, the difference a - b will be negative.
Example: -8 - (-2) = -8 + 2 = -6
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Incorrect
What is the sign of a - b
if a < 0, b < 0 and |a| > |b|?
Your Answer
Correct Answer
negative
Because b is negative, converting the subtraction to an addition produces the sum of a negative and positive number. Since the negative number, a, has the larger absolute value, the difference a - b will be negative.
Example: -8 - (-2) = -8 + 2 = -6
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
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 a negative and positive number. Since the positive number, -b, has the larger absolute value, the difference a - b will be positive.
Example: -1 - (-14) = -1 + 14 =13
Question 1 of 10
Adding and Subtracting Signed Numbers Set 2
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 a negative and positive number. Since the positive number, -b, has the larger absolute value, the difference a - b will be positive.
Example: -1 - (-14) = -1 + 14 =13
Question 1 of 10
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- Last Updated
- 7/30/2015
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Adding and Subtracting Signed Numbers Set 2 by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.