Adding Positive and Negative Numbers

Vocabulary

100

A positive or negative whole number

Integer

200

The result of addition

Sum

300

A number that is divided by a divisor. The numerator of a fraction

Dividend

400

The result of division

Quotient

500

The distance between a point and zero, non-negative

Absolute Value

Adding with Positive and Negative Integers

100

Hyun is on a game show. Hyun earns points for correct answers and loses points for incorrect answers. At the end of the second round, he has 5 points. In the third round, he loses 5 points. How many points does Hyun have after the third round? S

0

200

Javier says that when you add a positive and a negative number, the sum is always negative. Is Javier’s statement true or false? Explain

False. A sum of positive and negative numbers will be positive if the positive numbers absolute value is greater, negative if the negative number's absolute value is greater

300

-56 + 29 

- 27

400

179 + (-256) 

- 77

500

(23 x 2) + (-46)

0

Adding Positive and Negative Fractions and Decimals

100

-4.3 + 1.4

-2.9

200

What is -12 3/4 + (-5 1/2)?

-18 1/4

300

-4.7 + (-5 13/20)

-10.35 or -10 7/20

400

-12.04 +(-3.6)

-15.64

500

-3.18 + 8.02

4.84

Expressing Addition with Positive and Negative Numbers

100

Between the time Iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14 °. Write an addition expression for the temperature relative to when Iko woke up

11 + (-14)

200

An orca is swimming at an elevation of -6 m relative to sea level. Several seconds later the orca’s elevation increases by 7 m. Write an addition expression for the orca’s new elevation relative to sea level

-6 + 7 = 1

300

Normally, the freezing point for water is 32°F. A city treats its streets before a snowstorm. On the treated streets, the freezing point for water is changed by -38°F. Write an addition expression and determine the new freezing point.

32 + (-38)= -6

400

A dragonfish is swimming at -900 m relative to sea level. It rises 250 m. What is the dragonfish’s new depth relative to sea level?

-900 + 250 = -650 m

500

A chemist has a mixture with a temperature of 3.5°C. Then the chemist cools the mixture. The temperature changes by -14.2°C. What is the temperature of the mixture after it cools? Write an addition expression and solve.

3.5 + (-14.2) = - 10.7