Rational Numbers as Decimals
Understand irrational numbers
Comparing integers
Square root/cube root
Vocabulary
100

Write 0.6 repeating as a fraction.

6/9

100

is pi rational or irrational?

irrational

100

Approximate the square root of 18 to the nearest tenth.

4.1, 4.2, or 4.5?

4.2

100

Would you classify 169 as a perfect square?

Yes (13 x 13)

100

A decimal that goes on forever __________

A decimal that terminates ____________

repeating decimal

200

Write 0.32 repeating as a fraction.

32/99

200

is the square root a 25 rational or irrational

rational (5x5) it is a perfect square

200

Compare 5.7145... and the square root of 29

< 5.7145... 

200

A cube has the volume of 125 ft, what is the length of each side?

5 ft

200

A number that cannot be be represented using a fraction (ex. pi, square root of a number that is not a perfect square, a decimal that repeats with no pattern)

Irrational number

300

Write 2.5 repeating as a mixed number.

2  5/9

300

is 3.275 rational or irrational

rational 

300

Compare the square root of 21 and 5.2

< 5.2

300

The area of a garage 121 square feet. Will it fit a car that is 13 feet long?

No because it is 13 feet long
300

A number that is the square of an integer such as 

2 x 2 

4 x 4 

These are called ________ squares


A number that is the cube of an integer such as 

2 x 2 x 2

4 x 4 x 2

These are called ________ cubes

perfect

400

What fraction is equivalent to 0.3 repeating


1/3 or 2/3

1/3

400

is 0.756508305843... rational or irrational

irrational

400

Compare the square root of 7 and 3.444444...

<3.444444

400

solve x2=60

x = 

400

_________ numbers

Includes all integers, whole numbers and natural numbers.

Rational numbers

500

Write 1.8 repeating as a mixed number

1  8/9

500

is the square root of 37 rational or irrational?

irrational - it is not a perfect square

500

Order these numbers: square root of 5, 3.7, 1/2, -4, -9/4

-4, -9/4, 1/2, square root of 5, 3.7

500

solve x3=28 and x2=49


x=


x = 7, -7

500

A famous irrational number that never ends

pi

M
e
n
u