Show:
Squares and Square Roots
Fractions and Decimals
Rational vs. Irrational Numbers
Estimating Square Roots
Classifying Real Numbers
100

172

289

100

Convert the following fraction to a decimal: 2/9

0.222...

100
Is pi rational or irrational?

Irrational

100

What two natural numbers is the square root of 55 between?

7 and 8

100

What is the best classification for 24?

Natural

200

What is the inverse of squaring a number?

Square Root

200

Convert the following decimal to a fraction: 0.625

5/8

200

True or False: Non-Perfect squares are irrational

True

200

What two integers is the negative square root of 19 between?

-4 and -5

200

What is the only number that is whole and not natural?

0

300

112 + 182

445

300

Convert the following fraction to a decimal: 15/4

3.75

300

True or False: Irrational numbers can be written as fractions

False

300

What is the best decimal estimate for the square root of 98?

9.9

300

Which of the following is an irrational number?

7/8       9/4       Square Root of 75       0.757575...

Square Root of 75

400

What is the length of a wall in a square room that has an area of 100 square feet?

10 feet

400

Which of the following fractions convert to a terminating decimal?

3/11       4/9       11/12       7/3

11/12

400

Which of the following is an example of a rational number between 5 and 6?

5 1/3       4.25       5.123...

5 1/3

400

What is the best decimal estimate of the negative square root of 134?

-11.6

400

Mr. Cullor asks you if 2.343344333444... is a rational number because it has a pattern. Would you say yes or no, and what would be your reasoning?

No, rational numbers have to be terminating or repeating decimals. The decimal in question has a pattern, but not a repeating pattern.

500

Mr. Ewalt is building a fence for his dog. It will be a square fence. He is using the side of his house as one of the sides of the fence. If he wants the fenced in area to be 256 square feet, how many feet of fencing does he need to buy?

48 feet

500

Which of the following fractions converts to a repeating decimal greater than one?

10/9       2/3       1/4       9/2

10/9

500

Which of the following is an example of an irrational number between 12 and 13?

4pi       12.987654321       12.121212...

4pi

500

Mr. Ewalt's wife is planting a garden and wants to put a fence around it. The area of the garden is 70 square feet. What is the approximate side length and what is the perimeter of the garden?

Side length = 8.4 feet

Perimeter = 33.6 feet

500

Mrs. Michelle asks you if -30 is a whole number. Would you tell her yes or no, and what would be your reasoning?

No, whole numbers can't be negative.