Multiplying and dividing rational numbers

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Mathematics

9th - 12th Grade

CCSS covered

Multiplying and dividing rational numbers

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the expression below represents a rational or irrational number.

$5\sqrt{36}\ -\sqrt{25}$

Rational Number

Irrational Number

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If
$x\ +\ 4\ =\sqrt{7}$ , then x must be a

Rational Number

Irrational Number

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The square root of 4/25 belongs to which of the following types of numbers? (There may be one or more answers... please select all answer choices that apply)

Irrational

Rational

Integer

Whole

Natural

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

What happens when you multiply a rational and irrational number together?

The product is rational.

The product is irrational.

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

$\frac{\pi}{\pi}$

Rational

irrational

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following shows that the product of two irrational numbers can be rational?

$\sqrt{2}\times\sqrt{\pi}$

$\frac{2}{\pi}\times\sqrt{2}$

$\frac{2\pi}{5}\times\frac{2}{\pi}$

$\pi\times\sqrt{6}$

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The square root of a decimal is rational.

true

false

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{1}{3}\ \cdot\ \sqrt{2}$

rational

Irrational

Tags

CCSS.HSN.RN.B.3

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Ms. Finn wants to find the side length of a square that has an area of 150 feet. Should her answer be rational or irrational?

Rational because $150\ \div\ 2$ is 75, and 75 can be written as a decimal

Rational because 150 is a whole number so it can be written as a decimal.

Irrational because $\sqrt{150}$ is not a perfect square

Irrational because $150\ \div4$ is 37.5 which can't be written as a fraction.

Tags

CCSS.HSN.RN.B.3

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Multiplying and dividing rational numbers

Determine if the expression below represents a rational or irrational number. 536 −255\sqrt{36}\ -\sqrt{25}536​ −25​

If x + 4 =7x\ +\ 4\ =\sqrt{7}x + 4 =7​ , then x must be a

The square root of 4/25 belongs to which of the following types of numbers? (There may be one or more answers... please select all answer choices that apply)

What happens when you multiply a rational and irrational number together?

ππ\frac{\pi}{\pi}ππ​

Which of the following shows that the product of two irrational numbers can be rational?

The square root of a decimal is rational.

13 ⋅ 2\frac{1}{3}\ \cdot\ \sqrt{2}31​ ⋅ 2​

Ms. Finn wants to find the side length of a square that has an area of 150 feet. Should her answer be rational or irrational?

Carrie is gong to solve the division problem below. Will Carrie's answer be a rational number?-22/7

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Discover more resources for Mathematics

Determine if the expression below represents a rational or irrational number.

$5\sqrt{36}\ -\sqrt{25}$

If
$x\ +\ 4\ =\sqrt{7}$ , then x must be a

$\frac{\pi}{\pi}$

$\frac{1}{3}\ \cdot\ \sqrt{2}$

Carrie is gong to solve the division problem below. Will Carrie's answer be a rational number?
-22/7