Add and Subtract Negative Numbers 4

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Question 1 of 4

1. Question
Evaluate

$- 3 + 14$ $-3+14$
- (11)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

Since the signs are different $(- +)$ $(- +)$ we will find the difference of the two numbers

$14 - 3$ $14-3$ $=$ $=$ $11$ $11$ Find the Difference

$Difference$ $\text(Difference)$ $=$ $=$ $11$ $11$

Insert the sign of the larger number $(14)$ $(14)$ to the difference

$- 3 + 14$ $-3+14$ $=$ $=$ $11$ $11$ Insert a positive sign since the larger number, $11$ $11$ , is positive

$11$ $11$

Method Two

Start at $- 3$ $-3$ , then since $14$ $14$ is positive move right $10$ $10$ places

$- 3$ $-3$ $+ 14$ $+14$ $=$ $=$

$- 3 + 14$ $-3+14$ $=$ $=$ $11$ $11$

$11$ $11$
Question 2 of 4

2. Question
Evaluate

$8 - (- 7)$ $8-(-7)$
- (15)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

Since the signs are the same $(- -)$ $(- -)$ we will find the sum of the two numbers

$8 + 7$ $8+7$ $=$ $=$ $15$ $15$ Find the Sum

$Sum$ $\text(Sum)$ $=$ $=$ $15$ $15$

Insert the sign of the larger number $(8)$ $(8)$ to the sum

$8 - (- 7)$ $8-(-7)$ $=$ $=$ $15$ $15$ Insert a positive sign since the larger number, $8$ $8$ , is positive

$15$ $15$

Method Two

$8$ $8$ $- (- 7)$ $-(-7)$ $=$ $=$

$8$ $8$ $+ 7$ $+7$ $=$ $=$ Recall,

Start at $8$ $8$ , then since $- (- 7)$ $-(-7)$ becomes $7$ $7$ which is positive, move right $7$ $7$ places

$8$ $8$ $+ 7$ $+7$ $=$ $=$

$8 + 7$ $8+7$ $=$ $=$ $15$ $15$

$15$ $15$
Question 3 of 4

3. Question
Evaluate

$- 5 - (- 2)$ $-5-(-2)$
- (-3)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

First, note that $- 5 - (- 2)$ $-5-(-2)$ will become $- 5 + 2$ $-5+2$

Since the signs are different $(- +)$ we will find the difference of the two numbers

$5-2$ $=$ $3$ Find the Difference

$\text(Difference)$ $=$ $3$

Insert the sign of the larger number $(-5)$ to the difference

$-5-(-2)$ $=$ $-3$ Insert a negative sign since the larger number, $5$ , is negative

$-3$

Method Two

$-5-(-2)$ $=$

$-5$ $+2$ $=$ Recall,

Start at $-5$ , then since $-(-2)$ becomes $2$ which is positive, move right $2$ places

$-5$ $+2$ $=$

$-5+2$ $=$ $-3$

$-3$
Question 4 of 4

4. Question
Evaluate

$10+(-3)$
- (7)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

Since the signs are different $(+ -)$ we will find the difference of the two numbers

$10-3$ $=$ $7$ Find the Difference

$\text(Difference)$ $=$ $7$

Insert the sign of the larger number $(10)$ to the difference

$10+(-3)$ $=$ $7$ Insert a positive sign since the larger number, $10$ , is positive

$7$

Method Two

$10+$ $(-3)$ $=$

$10$ $-3$ $=$ Recall,

Start at $10$ , then since $+(-3)$ becomes $3$ which is negative, move left $3$ places

$10-3$ $=$ $7$

$7$

Add and Subtract Negative Numbers 4

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Quiz summary

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1. Question

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2. Question

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Excellent!

3. Question

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4. Question

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Quizzes

$14 - 3$ $14-3$	$=$ $=$	$11$ $11$	Find the Difference
$Difference$ $\text(Difference)$	$=$ $=$	$11$ $11$

$8 + 7$ $8+7$	$=$ $=$	$15$ $15$	Find the Sum
$Sum$ $\text(Sum)$	$=$ $=$	$15$ $15$

$8$ $8$ $- (- 7)$ $-(-7)$	$=$ $=$
$8$ $8$ $+ 7$ $+7$	$=$ $=$		Recall,

$-5-(-2)$	$=$
$-5$ $+2$	$=$		Recall,

$10+$ $(-3)$	$=$
$10$ $-3$	$=$		Recall,