Add and Subtract Integers 4

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Year 9

Directed Numbers

Add and Subtract Integers

Add and Subtract Integers 4

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Question 1 of 4

1. Question
Evaluate

$-3+14$
- (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

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

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

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

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

$11$

Method Two

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

$-3$ $+14$ $=$

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

$11$
Question 2 of 4

2. Question
Evaluate

$8-(-7)$
- (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

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

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

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

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

$15$

Method Two

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

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

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

$8$ $+7$ $=$

$8+7$ $=$ $15$

$15$
Question 3 of 4

3. Question
Evaluate

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

Different Sign = Find the Difference

Method One

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

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

$10-3$ $=$ $7$

$7$

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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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Well Done!

Quizzes

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

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

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

$5-2$	$=$	$3$	Find the Difference
$\text(Difference)$	$=$	$3$