Real Numbers Challenge!

A rational number can be expressed as a fraction p/q, where p and q are integers and q is not zero. Which of the following is an example of a rational number using only the digits 6 and 7?

• √67

• π

• 6/7

• An infinite non-repeating decimal made of 6s and 7s

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

Convert the fraction 6/7 to its decimal representation. Round to three decimal places if necessary.

• 0.857

• 0.766

• 0.670

• 0.914

Is the number 6.7 a rational or an irrational number?

• Rational

• Irrational

• Neither

• Both

Which number is irrational?

Tags

CCSS.8.NS.A.1

Which of the following pairs represents two different rational numbers in fraction form using only the digits 6 and 7?

• 6/7 and √7

• π and 6/6

• 6/7 and 7/6

• √6 and 7/7

What is the closest perfect square to the number 67?

• 66

• 64

• 77

• 81

Tags

CCSS.8.NS.A.2

Which of the following numbers, formed using only the digits 6 and 7, is irrational?

• 66.7

• 76/6

• √77

• 7.666...

Tags

CCSS.8.NS.A.1

Which fraction is equivalent to the repeating decimal 0.666...?

• 6/10

• 2/3

• 7/9

• 66/100

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

Classify the number 0.666... (where the 6 repeats infinitely) as either rational or irrational.

• Rational

• Irrational

• Neither

• Both

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

What is the closest perfect cube to the number 67?

• 27

• 64

• 125

• 216

Tags

CCSS.8.EE.A.2