Real Numbers Review

Postive and Negative

100

Mount Everest is about 29,000 ft above sea level and the Dead Sea is about 1,378 ft below sea level. Represent their altitudes using positive and negative numbers.

+29,000 ft

-1,378 ft

200

Fill in <, >, = 

a. l 4 l ____ l -8 l 

b. - l 7 l ____ 0

c. l -2 l ____ - l -5 l 

a. 4 < 8

b. -7 > 0

c. 2 > -5

300

Order the following values in descending order. 

-1, -3.5, 2 1/2

2 1/2, -1, -3.5

400

Given the numbers -6.5,  7 and -18. 

a. Arrange the numbers in ascending order

b. Arrange the absolute values of the numbers in descending order.

a. -18, -6.5, 7

b. l -18 l = 18

    l-6.5 l= 6.5 

    l 7 l= 7

         18, 7, 6.5

500

Given the numbers -42, 18, .7 and -4.2. 

a. Arrange the numbers in descending order

b. Arrange the absolute values of the numbers in ascending order. 

a. 18 , .7, -4.2, -42

b. .7, 4.2, 18, 42

Adding and Subtracting Integers

100

(-5) + 17

12

200

-46 + (-54)

-100

300

l -12 + (-3)l 

15

400

-12 - (-4)

-8

500

10 - (- l -6 l )

16

Multiplying and Dividing Integers

100

(-6) x 9

-54

200

(-4) x (-4)

16

300

8 x (-4) x (-7) 

224

400

(-36) / 3

-12

500

(-6)³ / (-12)

18

Order of Operations

100

(-7)³

-343

200

(-16) x (-9) / 6

24

300

(-8) - (-2) + (-28) / 4

-13

400

(-2)³ x 7 - ((-5) + (-1))² / (-4) 

-47

500

(-6)³ / 3² / (-9 - (-8))³

24

Rational Numbers

100

Find the value of 

(-2 1/5) + (-1 1/3)

-3 8/15

200

Find the value of  7/8 - (-11/4) + (-1/3) 

3 7/24

300

(-2 2/5) x 3/4 

-1 4/5

400

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

-4/5

500

((-5 3/4)- (-6 1/2))³

a. Evaluate the problem above. 

b. What is the decimal rounded to the nearest ten thousandths place? 

a. 27/64 OR .421875 

b. .4219