Absolute Value and Opposites
Understand Rational Numbers
Adding Integers
Subtracting Integers
Add and Subtract Rational Numbers
100

What number makes this equation true?

? + (-17.2) = 0

What is 17.2

100

What types of decimals are considered rational numbers? Provide an example of each.

What are repeating decimals (.12...) and terminating decimals (.25)
100

Given an expression, determine if the outcome is positive or negative. Explain.

-14 + (-35)

Negative, because the sign of both integers is negative. So if the signs are the same we combine and keep the sign. 

100

Simplify the expression

-8 - 14

What is -22?

100

Find the sum of the expression

(2/3) + (-1/3)

What is (1/3)

200

If a dune buggy drives from an elevation of 10 meters below sea level to an elevation of 5 meters above sea level, what is the vertical distance that the dune buggy traveled?

What is 15 meters

200

What is the decimal equivalent to 2 11/20?

What is 2.55.

200

Write an equivalent expression for 10 + 14 = 24

What is 10 - (-14).

200

Complete the statement.

7 - (-4) is ______ units from 7 in the ______ direction.

What is 4 and positive.

200

Find the value of the expression

 (- 8.6) + 7.2.

What is - 1.4

300

What is the value of the expression?

-5 + 7 + (-2) ?


What is zero. 

300

You work at a home goods store and are packaging a microwave for a customer. The length of the microwave is 15 and 5/8 inches on all sides. What is the minimum length of any side of the box as a decimal?

What is 15.8 inches minimum. 

300

A dolphin is traveling 5.5 meters underwater, then jumps out of the water to a height of 2.4 meters. What is the vertical distance?

What is 7.9 meters. 

300

Write an expression that represents the scenario, then solve.  

Hank is working in a silver mine 10 feet below the surface. He descends until he reaches a point 57 feet below the surface. How many feed does Hank descend? 

What is - 57 - (-10) = -47, Hank descends 47 feet. 

300

Find the value of the expression

(-1/3) - (-5/12) 

What is 1/12

400

Draw a picture of a number line to represent the expression. 

-4 + 4

See student work!!
400

Kai eats 22 of 24 grapes. What number represents the number of grapes she ate as a decimal?

What is 0.916666...

400

The temperature in Grand Forks, North Dakota, was 53 degrees Fahrenheit in the afternoon. After the sun went down the temperature dropped to -1.5 degrees Fahrenheit. Write an expression that explains the change in temperature from the afternoon to later that day.

What is "the change in temperature was -54.5 degrees Fahrenheit. 

400

Nora and Vera are trying to find the difference of 10 - (-10). Nora thinks the difference is 7. Vera claims the difference is 13. Who is correct, explain.

What is Vera, because when you subtract a negative number it becomes an addition problem. 

10 + 3 = 13

400

Manuel climbs a tower from ground level to an elevation of 135 and 1/2 feet. He then climbs down 27 and 1/4 feet. How far is Manuel from the ground? 

What is 108 and 1/4 feet.

500

What is the definition of an absolute value?

What is the distance from zero on a number line. 

500

What is the equivalent decimal to for the fraction 156/25?

What is 6.24

500

If a - b = 7, what is an equivalent expression?

What is a + (-b) = 7

500

At its greatest depth, the Atlantic Ocean is 9,219 meters deep. The Indian Ocean is 7,455 meters deep, and the Carribean Sea is 6,946 meters deep. How much deeper is the Indian Ocean than the Caribbean Sea?

What is 509 meters deeper.

500

Carter hikes from the top of a hill that is 120 and 2/3 feet above sea level down into a valley that is 43 and 2/3 feet below sea level. What is the difference in elevation between the top of the hill and the valley?

What is 164 and 1/3 feet