Add and Subtract Integers 2

Years

Year 9

Directed Numbers

Add and Subtract Integers

Add and Subtract Integers 2

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Question 1 of 4

1. Question
Evaluate

$3 - 10$ $3-10$
- (-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

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

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

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

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

$- 7$ $-7$

Method Two

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

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

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

$- 7$ $-7$
Question 2 of 4

2. Question
Evaluate

$- 2 - 10$ $-2-10$
- (-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

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

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

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

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

$- 12$ $-12$

Method Two

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

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

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

$- 12$ $-12$
Question 3 of 4

3. Question
Evaluate

$11 - 13$ $11-13$
- (-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

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

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

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

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

$- 2$ $-2$

Method Two

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

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

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

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

4. Question
Evaluate

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

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

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

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

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

$1$ $1$

Method Two

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

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

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

$7$ $7$ $- 6$ $-6$ $=$ $=$

$7 - 6$ $7-6$ $=$ $=$ $1$ $1$

$1$ $1$

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Quiz summary

Information

1. Question

Hint

Great Work!

2. Question

Hint

Well Done!

3. Question

Hint

Great Work!

4. Question

Hint

Fantastic!

Quizzes

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

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

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

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

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