During a Disney trivia game, the scores of four players were represented in different ways: 27%, 2.75, $$\sqrt[]{2}$$ , $$2\frac{7}{9}$$ . Can you arrange these scores from the lowest to the highest?

27%, $$\sqrt[]{2}$$ , 2.75, $$2\frac{7}{9}$$

27%, 2.75, $$\sqrt[]{2}$$ , $$2\frac{7}{9}$$

$$\sqrt[]{2}$$ , $$2\frac{7}{9}$$ , 2.75, 27%

$$2\frac{7}{9}$$ , 2.75, $$\sqrt[]{2}$$ , 27%

Mickey Mouse is arranging his favorite numbers in a line. Can you help him arrange these numbers from greatest to least?

$$\pi$$ , $$\sqrt[]{6}$$ , $$\frac{7}{3}$$ , $$32\frac{2}{3}\%$$

$$\pi$$ , $$32\frac{2}{3}\%$$ , $$\frac{7}{3}$$ , $$\sqrt[]{6}$$

$$\sqrt[]{6}$$ , $$32\frac{2}{3}\%$$ , $$\frac{7}{3}$$ , $$\pi$$

$$\frac{7}{3}$$ , $$\pi$$ , $$32\frac{2}{3}\%$$ , $$\sqrt[]{6}$$

In the Disney movie 'Alice in Wonderland', Alice encounters a rational number and an irrational number. What is the best way for Alice to compare the irrational number (like the Mad Hatter's hat size) to a rational number (like the Queen of Hearts' card number)?

Convert the irrational number to a rational approximation

Round both numbers so that they are whole numbers.

Determine which number is closest to zero.

Write the irrational number as a rational number.

Classify Numbers, Square Roots, and Pythagorean Theorem

Authored by C Baber

Mathematics

8th Grade

CCSS covered

Used 3+ times

Classify Numbers, Square Roots, and Pythagorean Theorem

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Mickey Mouse is trying to identify which number is rational from his magic book. Can you help him?

7.8

3.8910349...

√2

Answer explanation

The number 7.8 is rational because it can be expressed as a fraction, 78/10. The other choices, 3.8910349..., √2, and π, are irrational numbers.

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In the Disney movie 'Alice in Wonderland', Alice falls down a rabbit hole that seems to go on forever. If the length of the rabbit hole was represented by a number, which of these could it not be?

12%

√2

-11.29

Answer explanation

The correct choice is √2 because it cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating.

Tags

CCSS.6.NS.C.7

CCSS.6.NS.C.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Donald Duck found a treasure chest with 3.1 gold coins. If he wants to express this as a quotient of integers, which option should he choose?

31/1

31/100

31/10

3.1/1

Answer explanation

3.1 can be written as the quotient of integers by dividing 31 by 10. Therefore, the correct choice is 31/10.

Tags

CCSS.5.NBT.A.3

CCSS.5.NBT.B.7

CCSS.5.NF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

It is rational because it can be written as a decimal.

It is irrational because it is negative.

It is irrational because it can be written as a repeating decimal, -4.8333333.

Answer explanation

The number -4 5/6 is rational because it can be written as a quotient of integers, -29/6.

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

It is rational because one of the addends is irrational.

It is rational because both of the addends are rational.

It may be rational or irrational, because one of the addends is irrational.

It may be rational or irrational, because both of the addends are rational.

Answer explanation

The sum is rational because both addends are rational.

Tags

CCSS.HSN.RN.B.3

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Answer explanation

The number 8.06√53 is irrational because it is the product of a rational factor (8.06) and an irrational factor (√53).

Tags

CCSS.HSN.RN.B.3

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Answer explanation

The expression -3 1/2 + √36 is rational because it is the sum of two rational addends.

Tags

CCSS.HSN.RN.B.3

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Classify Numbers, Square Roots, and Pythagorean Theorem

Mickey Mouse is trying to identify which number is rational from his magic book. Can you help him?

The number 7.8 is rational because it can be expressed as a fraction, 78/10. The other choices, 3.8910349..., √2, and π, are irrational numbers.

In the Disney movie 'Alice in Wonderland', Alice falls down a rabbit hole that seems to go on forever. If the length of the rabbit hole was represented by a number, which of these could it not be?

The correct choice is √2 because it cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating.

Donald Duck found a treasure chest with 3.1 gold coins. If he wants to express this as a quotient of integers, which option should he choose?

3.1 can be written as the quotient of integers by dividing 31 by 10. Therefore, the correct choice is 31/10.

The number -4 5/6 is rational because it can be written as a quotient of integers, -29/6.

The sum is rational because both addends are rational.

The number 8.06√53 is irrational because it is the product of a rational factor (8.06) and an irrational factor (√53).

The expression -3 1/2 + √36 is rational because it is the sum of two rational addends.

The symbol '>' makes the sentence true because -√7 is less than -3.5.

The symbol '<' makes the sentence true because the square root of 2 is less than 1.7320508...

In a Disney trivia game, Mickey Mouse asked: 'If the magic number is the square root of 10, which number should I choose to make sure my magic number is greater?'

The correct choice is 31% because it is the only option that is greater than the square root of 10.

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