The learner will determine the sign of the sum or of the difference of two real numbers.

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a > 0, b > 0 and |a| > |b|?

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

Explanation:
Since both numbers are positive, the sum will be positive. Example: 8 + 3 = 11
 Next Question
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

Explanation:
Since both numbers are positive, the sum will be positive. Example: 8 + 3 = 11
 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a > 0, b < 0 and |a| > |b|?

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

Explanation:

Because the positive value, a, has a larger absolute value, the sum will be positive. Example: 12 + (-5) = 7

 Next Question
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

Explanation:

Because the positive value, a, has a larger absolute value, the sum will be positive. Example: 12 + (-5) = 7

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a > 0, b < 0 and |a| < |b|?

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

Explanation:

Because the negative number, b, has a larger absolute value, the sum will be negative. Example: 4 + (-9) = -5

 Next Question
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

Explanation:

Because the negative number, b, has a larger absolute value, the sum will be negative. Example: 4 + (-9) = -5

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a < 0, b < 0 and |a| < |b|?

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

Explanation:

Because both numbers are negative, the sum will be negative. Example: -8 + (-10) = -18

 Next Question
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

Explanation:

Because both numbers are negative, the sum will be negative. Example: -8 + (-10) = -18

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a < 0, b > 0 and |a| = |b|?

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

Explanation:

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

 Next Question
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

Explanation:

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

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a > 0, b > 0 and |a| = |b|?

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

Explanation:

Because both numbers are positive, the sum will be positive. Example: 5 + 5 = 10

 Next Question
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

Explanation:

Because both numbers are positive, the sum will be positive. Example: 5 + 5 = 10

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a + b

if a < 0, b < 0 and |a| = |b|?

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

Explanation:

Because both numbers are negative, the sum will be negative. Example: -6 + (-6) = -12

 Next Question
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

Explanation:

Because both numbers are negative, the sum will be negative. Example: -6 + (-6) = -12

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a - b

if a > 0, b > 0 and |a| > |b|?

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

Explanation:

Because both numbers are positive and a is greater than b, the difference will be positive. Example: 14 - 9 = 5

 Next Question
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

Explanation:

Because both numbers are positive and a is greater than b, the difference will be positive. Example: 14 - 9 = 5

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a - b

if a > 0, b < 0 and |a| > |b|?

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

Explanation:

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

 Next Question
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

Explanation:

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

 Next Question
Question 1 of 10

Adding and Subtracting Signed Numbers Set 1

What is the sign of a - b

if a > 0, b < 0 and |a| < |b|?

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

Explanation:

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

 Finish
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

Explanation:

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

 Finish
Question 1 of 10
Adding and Subtracting Signed Numbers Set 1

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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.