Add and Subtract Negative Numbers 2

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Question 1 of 4

1. Question
Evaluate

$3-10$
- (-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

$3-10$ $=$ $-7$ Insert a negative sign since the larger number, $10$ , is negative

$-7$

Method Two

Start at $3$ , then since $10$ is negative move left $10$ places

$3$ $-10$ $=$

$3-10$ $=$ $-7$

$-7$
Question 2 of 4

2. Question
Evaluate

$-2-10$
- (-12)
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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

$2+10$ $=$ $12$ Find the Sum

$\text(Sum)$ $=$ $12$

Insert the sign of the larger number $(-10)$ to the sum

$-2-10$ $=$ $-12$ Insert a negative sign since the larger number, $10$ , is negative

$-12$

Method Two

Start at $-2$ , then since $10$ is negative, move left $10$ places

$-2$ $-10$ $=$

$-2-10$ $=$ $-12$

$-12$
Question 3 of 4

3. Question
Evaluate

$11-13$
- (-2)
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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

$13-11$ $=$ $2$ Find the Difference

$\text(Difference)$ $=$ $2$

Insert the sign of the larger number $(-13)$ to the difference

$11-13$ $=$ $-2$ Insert a negative sign since the larger number, $2$ , is negative

$-2$

Method Two

Start at $11$ , then since $13$ is negative move left $13$ places

$11$ $-13$ $=$

$11-13$ $=$ $-2$

$-2$
Question 4 of 4

4. Question
Evaluate

$7-(+6)$
- (1)
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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

$7-6$ $=$ $1$ Find the Difference

$\text(Difference)$ $=$ $1$

Insert the sign of the larger number $(7)$ to the difference

$7-(+6)$ $=$ $1$ Insert a positive sign since the larger number, $7$ , is positive

$1$

Method Two

$7$ $-$ $(+6)$ $=$

$7$ $-6$ $=$ Recall,

Start at $7$ , then since $-(+6)$ becomes $-6$ which is negative, move left $6$ places

$7$ $-6$ $=$

$7-6$ $=$ $1$

$1$

Add and Subtract Negative Numbers 2

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Quiz summary

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1. Question

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Great Work!

2. Question

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Well Done!

3. Question

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Great Work!

4. Question

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Fantastic!

Quizzes

$10-3$	$=$	$7$	Find the Difference
$\text(Difference)$	$=$	$7$

$2+10$	$=$	$12$	Find the Sum
$\text(Sum)$	$=$	$12$

$13-11$	$=$	$2$	Find the Difference
$\text(Difference)$	$=$	$2$

$7-6$	$=$	$1$	Find the Difference
$\text(Difference)$	$=$	$1$