Simplify $$\frac{5}{3}^2$$ .

$$\frac{5^2}{3^2} = \frac{25}{9}$$ .

How to represent $$\text{the square root of 10}$$ on a number line?

Locate the point that is approximately 3.162, which is the value of $$\text{the square root of 10}$$ .

What is $$\frac{5^3}{5^2}$$ ?

Using the property of exponents, $$\frac{5^3}{5^2} = 5^{3-2} = 5^1 = 5$$ .

What is the square root of a number?

The square root of a number $$x$$ is a value that, when multiplied by itself, gives the number $$x$$ . Example: $$\text{The square root of 49 is 7, since } 7 \times 7 = 49$$ .

What is the property of exponents for division?

When dividing two powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

What is a number line?

A number line is a straight line with numbers placed at equal intervals along its length, used to represent real numbers visually.

What is a perfect square?

A perfect square is an integer that is the square of another integer. Example: 49 is a perfect square because $$7^2 = 49$$ .

What does it mean for a number to be classified as real?

Real numbers include all the numbers on the number line, including rational and irrational numbers.

What is the decimal representation of $$\frac{5}{22}$$ ?

The decimal representation of $$\frac{5}{22}$$ is approximately 0.2272, which is a rational number.

How do you identify irrational numbers among given options?

Irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions. Example: $$\text{The square root of 8 is irrational.}$$ .

What is the significance of the number zero in whole numbers?

Zero is the smallest whole number and serves as the additive identity in mathematics, meaning any number plus zero equals the number itself.

M8 Sem1 Day1 OPTIONAL Practice Test Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

Tags

CCSS.8.NS.A.1

2.

FLASHCARD QUESTION

Front

Classify -14 as a number type.

Back

-14 is classified as an Integer, Real, and Rational number, but NOT a Whole number because Whole numbers are non-negative.

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.NS.A.2

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

Define a rational number.

Back

Tags

CCSS.5.NBT.A.2

7.

FLASHCARD QUESTION

Front

What is the difference between integers and whole numbers?

Back

Integers include all positive and negative whole numbers, while whole numbers include only non-negative integers (0 and positive integers).

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