Expressing Rational Numbers
Real Number System
Approximating Irrational Numbers
Comparing Rational and Irrational
Converting decimals
100

NO CALCULATOR: Write 7/25 as a terminating decimal.

.28

100

Which numbers are irrational? √23 √64 √50 √121

√23 √50

100

NO CALCULATOR: Round √189 to the nearest whole number.

14

100

Round 3 + √8 nearest tenth.

5.8

100

If x=43 and y=21, is √(x+y) rational or irrational?

√64 is rational

200

NO CALCULATOR: Write 4/11 as a decimal.

.36363636...

200

State all number classifications of the number -6

Real, Rational, Integer

200

NO CALCULATOR: Round √78 to the nearest integer.

9

200

Compare √7 and 2.8

√7 < 2.8

200

Write 0.636363... as a fraction in simplest form.

7/11

300

Three friends want to go get ice cream. The Mercantile is 29/16 miles from where they are currently. As a decimal rounded to the nearest tenth, how many miles will they have to walk to get ice cream?

They will have to walk 1.8 miles to The Mercantile for ice cream.

300

An integer is a whole number. Always, sometimes, or never true?

Sometimes true

300

NO CALCULATOR: Between which two consecutive whole numbers is √48 located?

6 & 7

300

Write the numbers in order from least to greatest. 

A) 2.25, B) √5, C) 17/8

C, B, A

17/8, √5, 2.25

300

Is √(x²+y²) rational or irrational when x=3 and y=9.

√90 is irrational

400

NO CALCULATOR:  John is buying a pizza that is 1 and 1/8 ft wide. Express the width of the pizza using a decimal.

The pizza is 1.125 feet wide. 

400

State an example of a whole number that is not a natural number

0

400

Mary wants to build a square fence for a dog pen. The area of the dog pen will be 79 ft squared. To the nearest whole number, how long is each side of her dog pen?

9 feet

400

Write the numbers in order from least to greatest. 

A) -1/6, B) -√6, C) -5/2

C, B, A

-5/2, -√6, -1/6,

400

What is the repeating decimal 1.272727... written as a fraction

14/11    or 1 3/11

500

NO CALCULATOR: Write the fractions 47/99 and 587/1,000 as decimals. 

47/99 = .474747...


587/1,000 = .587

500

Define characteristics of a number to be classified as a rational number.

Can be written as a fraction.

500

The length of a carpet is √160 ft. Will this carpet fit in Nick's room if the room measures 11 ft long? If not, what is the minimum length of a room big enough for this carpet?

No, the minimum length is 13 feet.

500

Order the numbers below from greatest to least. 

A) -2, B) √2, C) -9/5

B, C, A

√2, -9/5, -2

500

Change the repeating decimal 0.83333... to a fraction in simplest form.

5/6

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