Operations with Integers

Solve:

 $\left(-7\right)+6$  

Answer explanation

Use a number line, start at -7.  Since you are adding, go to the right 6 spaces.  You land at -1.

I owe $7 to my mom, I have 6.  I will still owe her $1 if I give her what I have.

Tags

CCSS.7.NS.A.1C

Solve:

 $2+\left(-8\right)$  

Answer explanation

The video explained how adding a negative is the same as subtracting a positive (Rule 1).  So this problem is the same as  $2-8$  
So you would start at positive 2 and since it is subtraction, you would move to the left 8 spaces landing at -6

I have $2.  I owe my mom $8.  I would still owe her $6 after giving her the 2 I had.

Tags

CCSS.7.NS.A.1C

Solve:

 $-9+4$  

Answer explanation

Use a number line.  Start at -9 since you are adding, move to the right 4 spaces.  You would land at -5.

I owe my mom $9.  I have $4.  If I give her what I have, I still owe her $5.

Tags

CCSS.7.NS.A.1C

Solve:

 $3-\left(-5\right)$  

Answer explanation

The video explained that subtracting a negative is the same as adding a positive (Rule 2).  So this problem could be written as  $3+5$  which equals 8.  

Tags

CCSS.7.NS.A.1C

Solve:

 $-8-\left(-2\right)$  

Answer explanation

The video explained that subtracting a negative is the same as adding a positive (Rule 2).  So this problem could be written as  $-8+2$  .

Using a number line, you would start at -8 and since you are adding, move to the right 2 spaces.  You would land at -6.

I owe my mom $8.  She takes away $2 that I owe her.  I now only owe her $6.

Tags

CCSS.7.NS.A.1C

Solve:

 $-10-3$  

Answer explanation

Using a number line, you would start at -10 and since you are subtracting, move to the left 3 spaces.  You would land at -13

I owe my mom $10 and I owe my dad $3.  I now owe $13 total.

Tags

CCSS.7.NS.A.1C

Solve:

 $-7\times3$  

Answer explanation

There is an odd number of negatives (1) so your answer will be negative.

 $7\times3=21$  

So the answer is -21

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Solve:

 $6\times-9$  

Answer explanation

There is an odd number of negatives (1) so your answer will be negative.

 $6\times9=54$  

So the answer is -54

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Solve:

 $-5\times-6$  

Answer explanation

There is an even number of negatives (2) so your answer will be positive

 $5\times6=30$  

So the answer is 30

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Solve:

 $-8\div4$  

Answer explanation

There is an odd number of negatives (1) so your answer will be negative.

 $8\div4=2$  

So the answer is -2

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B