Unit 2 Regular

Real-World Examples

100

The concession stand made a profit of $135 on Saturday and lost $12 on Sunday. How much profit did the concession stand make over the weekend?

$123

200

Gary bought 2.756 lbs of nails for his project. If Gary uses 1.38 lbs of nails, how many nails does Gary have left?

1.376 lbs

300

A diver is 13/6 miles below the surface of the water. A second diver is below the other diver by 5/3 miles. How far from the surface of the water is the second diver?

(Hint: Think about direction)

-23/6 miles from the surface of the water.

400

You are going on a trip and need to buy camping gear. You have $20.00 to spend. If the tent is $9.53, the lantern is $3.23, and the sleeping bag is $6.58. Do you have enough money to buy everything?

Yes

Bonus Points: How much money will be left over?

500

The water level in the Colorado River is 2.55 meters below average. A large rainfall cause the water level to rise 0.8 meters. What is the water level after the rainfall?

-1.75 meters

Addition Examples

100

Add the following: 

1/2 + 1/4

3/4

200

Add the following:

-1+0.52

-0.48

300

Add the following: 

-1/7+2/3

11/21

400

Add the following:

-6.84+0.9

-5.94

500

Add the following:

-2 3/4+5/3

-13/12 = -1 1/12

Subtraction Examples

100

Subtract the following:

1/4 - (-1/4) 

1/2

200

Subtract the following:

-11/6-(-4/3)

-1/2

300

Subtract the following:

-4.8-(-5.008)

0.208

400

Subtract the following:

3/4-1 1/5

-9/20

500

Subtract the following:

-6-4.37

-10.37

Rules

100

When adding decimals what do we need to line up?

The decimal points.

The tenths places line up, the hundredths places line up, the thousandths places line up...

200

TRUE OR FALSE: The rules for adding integers are the same as those for adding rational numbers.

TRUE

300

What is the first step for adding rational numbers?

Find the LCM of the denominators

400

How do we change subtraction of integers to addition of integers?

Add-the-opposite

500

What is the second step of adding/subtracting rational numbers?

Add/subtract the numerators.

Miscellaneous

100

Negative plus negative =

NEGATIVE

200

What do you do if you are adding a negative and a positive?

Subtract and the number farther away from zero gets the sign.

300

What do you do when you subtract a negative?

You add the integers.

400

What is always true about absolute value?

Always positive

500

What is the additive inverse of -9?

9 

Bonus Points: Why is it the additive inverse?