Add and Subtract Integers 3

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Year 9

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Add and Subtract Integers

Add and Subtract Integers 3

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Question 1 of 4

1. Question
Evaluate

$- 9 - (+ 4)$ $-9-(+4)$
- (-13)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

First, note that $- 9 - (+ 4)$ $-9-(+4)$ will become $- 9 - 4$ $-9-4$

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

$9 + 4$ $9+4$ $=$ $=$ $13$ $13$ Find the Sum

$Sum$ $\text(Sum)$ $=$ $=$ $13$ $13$

Insert the sign of the larger number $(- 9)$ $(-9)$ to the sum

$- 9 - (+ 4)$ $-9-(+4)$ $=$ $=$ $- 13$ $-13$ Insert a negative sign since the larger number, $- 9$ $-9$ , is negative

$- 13$ $-13$

Method Two

$- 9 -$ $-9-$ $(+ 4)$ $(+4)$ $=$ $=$

$- 9 - 4$ $-9-4$ $=$ $=$ Recall,

Start at $- 9$ $-9$ , then since $- (+ 4)$ $-(+4)$ becomes $- 4$ $-4$ which is negative, move left $4$ $4$ places

$- 9$ $-9$ $- 4$ $-4$ $=$ $=$

$- 9 - 4$ $-9-4$ $=$ $=$ $- 13$ $-13$

$- 13$ $-13$
Question 2 of 4

2. Question
Evaluate

$6 + (- 8)$ $6+(-8)$
- (-2)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

First, note that $6 + (- 8)$ $6+(-8)$ will become $6 - 8$ $6-8$

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

$8 - 6$ $8-6$ $=$ $=$ $2$ $2$ Find the Difference

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

Insert the sign of the larger number $(- 8)$ $(-8)$ to the difference

$6 + (- 8)$ $6+(-8)$ $=$ $=$ $- 2$ $-2$ Insert a negative sign since the larger number, $8$ $8$ , is negative

$- 2$ $-2$

Method Two

$6 +$ $6+$ $(- 8)$ $(-8)$ $=$ $=$

$6$ $6$ $- 8$ $-8$ $=$ $=$ Recall,

Start at $6$ $6$ , then since $+ (- 8)$ $+(-8)$ becomes $- 8$ $-8$ which is negative, move left $8$ $8$ places

$6$ $6$ $- 8$ $-8$ $=$ $=$

$6 - 8$ $6-8$ $=$ $=$ $- 2$ $-2$

$- 2$ $-2$
Question 3 of 4

3. Question
Evaluate

$2 - (- 9)$ $2-(-9)$
- (11)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

First, note that $2 - (- 9)$ $2-(-9)$ will become $2 + 9$ $2+9$

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

$2 + 9$ $2+9$ $=$ $=$ $11$ $11$ Find the Sum

$Sum$ $\text(Sum)$ $=$ $=$ $11$ $11$

Insert the sign of the larger number $(9)$ $(9)$ to the sum

$2 - (- 9)$ $2-(-9)$ $=$ $=$ $11$ $11$ Insert a positive sign since the larger number, $9$ $9$ , is positive

$11$ $11$

Method Two

$2$ $2$ $- (- 9)$ $-(-9)$ $=$ $=$

$2 + 9$ $2+9$ $=$ $=$ Recall,

Start at $2$ $2$ , then since $- (- 9)$ $-(-9)$ becomes $9$ $9$ which is positive, move right $9$ $9$ places

$2$ $2$ $+ 9$ $+9$ $=$ $=$

$2 + 9$ $2+9$ $=$ $=$ $11$ $11$

$11$ $11$
Question 4 of 4

4. Question
Evaluate

$- 8 - (- 1)$ $-8-(-1)$
- (-7)
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Same Sign = Find the Sum

Different Sign = Find the Difference

Method One

First, note that $- 8 - (- 1)$ $-8-(-1)$ will become $- 8 + 1$ $-8+1$

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

$8 - 1$ $8-1$ $=$ $=$ $7$ $7$ Find the Difference

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

Insert the sign of the larger number $(- 8)$ $(-8)$ to the difference

$- 8 - (- 1)$ $-8-(-1)$ $=$ $=$ $- 7$ $-7$ Insert a negative sign since the larger number, $8$ $8$ , is negative

$- 7$ $-7$

Method Two

$- 8 - (- 1)$ $-8-(-1)$ $=$ $=$

$- 8$ $-8$ $+ 1$ $+1$ $=$ $=$ Recall,

Start at $- 8$ $-8$ , then since $- (- 1)$ $-(-1)$ becomes $1$ $1$ which is positive, move right $1$ $1$ place

$- 8$ $-8$ $+ 1$ $+1$ $=$ $=$

$- 8 + 1$ $-8+1$ $=$ $=$ $- 7$ $-7$

$- 7$ $-7$

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1. Question

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2. Question

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3. Question

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4. Question

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Quizzes

$9 + 4$ $9+4$	$=$ $=$	$13$ $13$	Find the Sum
$Sum$ $\text(Sum)$	$=$ $=$	$13$ $13$

$- 9 -$ $-9-$ $(+ 4)$ $(+4)$	$=$ $=$
$- 9 - 4$ $-9-4$	$=$ $=$		Recall,

$8 - 6$ $8-6$	$=$ $=$	$2$ $2$	Find the Difference
$Difference$ $\text(Difference)$	$=$ $=$	$2$ $2$

$6 +$ $6+$ $(- 8)$ $(-8)$	$=$ $=$
$6$ $6$ $- 8$ $-8$	$=$ $=$		Recall,

$2 + 9$ $2+9$	$=$ $=$	$11$ $11$	Find the Sum
$Sum$ $\text(Sum)$	$=$ $=$	$11$ $11$

$2$ $2$ $- (- 9)$ $-(-9)$	$=$ $=$
$2 + 9$ $2+9$	$=$ $=$		Recall,

$8 - 1$ $8-1$	$=$ $=$	$7$ $7$	Find the Difference
$Difference$ $\text(Difference)$	$=$ $=$	$7$ $7$

$- 8 - (- 1)$ $-8-(-1)$	$=$ $=$
$- 8$ $-8$ $+ 1$ $+1$	$=$ $=$		Recall,