8th grade review

Topics to Review

Rational vs. Irrational

​Fractions to Decimals

​Repeating Decimals

​Power and Exponents

​Rational Numbers

​Natural numbers, whole numbers, Integers, and Rational Numbers all fall under rational numbers.

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​What does this mean: Positive whole numbers, Zero, Negative whole numbers, fractions, mixed numbers, perfect square roots, repeating decimals and terminating decimals are all Rational Numbers.

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Tip: Put Square Roots in the calculator, if you receive a whole number it's a Rational Number.

Multiple Choice

Which number is a Rational Number?

• $$\sqrt[]{17}$$  

• $$\sqrt[]{144}$$  

• $$2\pi$$  

• $$4+\pi$$  

Multiple Choice

Which number is a Rational Number?

• $$\sqrt[]{80}$$  

• $$\frac{5}{\pi}$$  

• 7.9432840.......

• $$-6.5$$  

​Irrational Numbers

​Decimals that does not terminate or repeat.

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Hint:​

Non-perfect square roots (positive or negative)

​Anything with

​

​Examples:

​9.7658128....., -7.109823...., , , , ,

Multiple Choice

Which number is an Irrational Number?

• $$\sqrt[]{81}$$  

• $$7.333333$$  

• $$3\pi$$  

• $$55\ \frac{1}{2}$$  

Multiple Choice

What type of number is

$$\pi$$  

• Rational 

• Irrational

All Fractions are Division problems!

Fill in the Blank

Convert the following fraction into a decimal

$$8\ \frac{4}{5}$$  

Fill in the Blank

Convert the following fraction into a decimal $$-5\ \frac{1}{2}$$  

Multiple Select

$$\ Which\ would\ be\ the\ correct\ representation\ for\ \frac{\ 6}{7}?$$  

• $$\overline{.857142}$$  

• $$.8\overline{57}$$  

Multiple Choice

Convert .056 to a fraction.

• $$\frac{56}{100}$$

• $$\frac{56}{1000}$$

• $$5\ \frac{6}{10}$$

Fill in the Blank

Convert the following fraction into a decimal

$$-\frac{7}{8}$$  

Fill in the Blank

What number is used as the denominator when repeating decimals are converted to fractions? (Hint: See a line, write a ... )

Fill in the Blank

Write the decimal as an equivalent fraction.

Fill in the Blank

Convert 0.252525... to a fraction.

Multiple Choice

Write the product as a power
6x6x6x6x6x6

• $$6^6$$  

• $$6^7$$  

• $$6^5$$  

Multiple Choice

Write the product as a power

$$15\cdot15\cdot15\cdot15$$  

• 15x15x15x15

• $$15^4$$  

• $$15^5$$  

Fill in the Blank

$$6^3$$  

Find the value

Fill in the Blank

$$3^4$$    Find the value

Multiple Select

Which is the correct mixed number for 17.05

• $$17\frac{1}{20}$$

• $$17\ \frac{5}{10}$$