MA.8.NSO.1.1 / MA.8.NSO.1.7

MA8.NSO.1.1
Extend previous understanding of rational numbers to define irrational numbers within the real number system. Locate an approximate value of a numerical expression involving irrational numbers on a number line.

​MA8.NSO.1.7

Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.

Multiple Choice

$$\left(4\times5\right)^2$$  What is the first step I should do?

• Write the 5 as 5 x 5

• Multiply the 4 and 5

• Add the 4 and 5

• Write the 4 as 4 x4 and the 5 as 5 x 5.

Open Ended

$$4^{2\ }-2\times3+6$$  

What is the correct answer to the problem?

Multiple Choice

Which of the following numbers is irrational?

• √8
• ¾
• 2
• -1.325

Multiple Choice

Evaluate the given expression if a = (-5) and b = 7  $$a^{3\ }+\ b^3$$  

• 218

• 512

• 42,875

• -3

Multiple Choice

Find two numbers that have square roots between 5 and 6.

• $$\sqrt{27}$$ $$\sqrt{32}$$

• $$\sqrt{24}$$ $$\sqrt{37}$$

• $$\sqrt{28}$$ $$\sqrt{40}$$

• $$\sqrt{15}$$ $$\sqrt{34}$$

Multiple Choice

Find    $$^3\sqrt{\frac{8}{27}}$$  

• $$\frac{2}{3}$$  

• $$0.\overline{6}$$  

• $$0.\overline{296}$$  

• $$-\frac{2}{3}$$  

Multiple Choice

 Simplify using exponents:  $$k\times d\times k\times k\times d$$  

• $$d^3\times k^2$$  

• $$k^3+d^2$$  

• $$k\div d$$  

• $$k^3\times d^2$$  

Multiple Choice

$$\left(1.6,\ \sqrt{3},\ 1\frac{1}{2}\ ,\ 1.78\right)$$ Order from least to greatest

• They are all equal to each other 

• $$1\frac{1}{2}\ \ ,\ \ \ 1.6\ ,\ \ 1.78\ ,\ \ \sqrt{3}$$  

• 1.5 ,  1.6 ,  1.73 ,  1.78

• $$1\frac{1}{2}\ ,\ \ 1.6\ \ ,\ \sqrt{3},\ \ 1.78$$  

Multiple Select

What is an example of a rational number? Select all that apply.

• Square roots with non-terminating decimals

• Fractions

• Terminating decimals

• Decimals

• All the above

Multiple Choice

A square has an area of 289 square inches. What is the side length of the square?

• 7 in

• 9 in

• 13 in

• 17 in

Multiple Choice

A square has an area of 0.49 square inches. What is the side length of the square?

• 0.07

• 0.28

• 0.7

• 2.8

Multiple Choice

Which triangle has an irrational number as one of its side lengths?

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Multiple Choice

A fraction is which type of number?

• Rational
• Irrational

Multiple Choice

Which number is a rational number?

• 2.25
• -8.78654684598.....
• Square root of 99
• 3.14...

Multiple Choice

A perfect square is which type of number?

• Rational 
• Irrational

Multiple Choice

includes integers, fractions, terminating and repeating decimals.

• Rational Numbers
• Irrational Numbers

Multiple Choice

What is 2/9 as a decimal?

• 0.2929292929292929292929292929

• 0.2

• 0.22222222222222222222222222222222222

• 0.29

Multiple Choice

Convert the following decimal into a fraction.  Simplify the fraction.

$$0.\overline{36}$$  

• 4/9

• 4/11

• 4/13

• 3/13

Multiple Choice

• 7/50
• 14/9
• 7/45
• 14/99

Multiple Choice

Convert 0.444... to a fraction.

• 4/10
• 4.4/99
• 4/9
• 2/5