Number Classification Review

Is √36 + √25 Rational or Irrational?

• Irrational: Adding square roots will not make them be rational.

• Rational: Since √36 = 6 and √25 = 5, we are adding 6+5 = 11

Is 0.375... Rational or Irrational?

• Rational: Because the decimal is short and looks like it could have a repeated pattern with the "..." which means it continues into infinity.

• Irrational: Because the decimal shows only 3 digits that do not match and the pattern doesn't extend far enough.

• Neither: We actually do NOT have enough information to tell if 0.375 will be rational or irrational. The "..." just tells us the number goes on forever, it does NOT guarantee a pattern will occur.

• Neither: The only way to guarantee an infinitely continuing decimal will have a repeated pattern, is if it shows a repeating bar over the numbers.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Is 0.375 Rational or Irrational?

• Rational: 0.375 is a decimal that ENDS so it's automatically rational.

• Irrational: Because it is a decimal with three digits that don't match

• Neither: We actually do NOT have enough information to tell if 0.375 will be rational or irrational.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

T or F: When I have negative integers inside a fraction, the fraction automatically becomes irrational.

• False: Negative or Positive signs DO NOT cause a number to be rational or irrational.

• True: Negative Integers cause things to be irrational.

• True: Negative numbers somehow create a decimals that go on forever WITHOUT a repeated pattern.

• rational

• irrational

• whole

Answer explanation

Hint: A rational number is one that can be expressed as a fraction; consists of a terminating or repeating decimal

Tags

CCSS.8.NS.A.1

Which statement describes the correct classification(s) of the numbers?

• Both numbers are rational, and real numbers.

• Number A is a rational number, and number B is an irrational number.

• Number A is an irrational number, and number B is a rational number.

• Both numbers are irrational numbers.

• 7 and 8
• 8 and 9
• 17 and 18
• 35 and 36

Tags

CCSS.8.NS.A.2

Which of the following sets includes only rational numbers?

What is the best classification for this number? 10

• whole, integer, rational

• whole

• integer

• rational

Which best describes the classification for the number 1?

• Whole Number

• Integer

• Rational

• All of the above