A number that when cubed gives the original number. The cube root $$\sqrt[3]{27}$$ of is 3.

How can you estimate... $$\sqrt[]{45}$$

Find two perfect squares it falls between ( $$\sqrt[]{36}$$ and $$\sqrt[]{49}$$ ). Since $$\sqrt[]{45}$$ is closer to =7, it is about 6.7

Which number is larger 8 or $$\sqrt[]{75}$$ ?

$$\sqrt[]{75}$$ is about 8.6 so $$\sqrt[]{75}$$ is larger than 8 Hint: 8 $$\cdot$$ 8=64 (that is less than 75)

What two consecutive numbers does $$\sqrt[]{3}$$ go on the number line?

Between 1 and 2. Estimated value is 1.73. Closer to 2.

What is the order of operations?

PEMDAS: Parentheses, Exponents, Multiply/Divide Add/Subtract

Is $$\pi$$ rational or irrational ?

Irrational. It goes on forever without repeating and con not be written as a fraction

Categorize: Is $$\frac{6}{3}$$ Natural, Whole, Integer, Rational, Irrational, Real

This simplifies to 2 Natural, Whole, Integer, Rational, Real

Categorize: Is 3 Natural, Whole, Integer, Rational, Irrational, Real

Natural, Whole, Integer, Rational, Real

Categorize: Is $$\sqrt[]{16}$$ Natural, Whole, Integer, Rational, Irrational, Real

This simplifies to 4, Natural, Whole, Integer, Rational, Real

Categorize: Is $$-\sqrt[]{25}$$ Natural, Whole, Integer, Rational, Irrational, Real

This simplifies to -5, Integer, Rational, Real

Categorize: Is 4.232323... Natural, Whole, Integer, Rational, Irrational, Real

This is a repeating decimal Rational, Real

Convert to a fraction. 0.38

$$\frac{38}{100}=\frac{19}{50}$$

Convert to a fraction. 3.50

$$3\frac{50}{100}=3\frac{1}{2}$$

Convert $$5.\overline{72}$$ to a fraction.

$$5\frac{72}{99}=5\frac{8}{11}$$

Convert $$5.1\overline{46}$$ to a fraction.

$$5\frac{146-1}{990}=5\frac{145}{990}=5\frac{29}{198}$$

Convert $$0.3\overline{6}$$ to a fraction.

$$0.36=\frac{36-3}{90}=\frac{33}{90}=\frac{11}{30}$$

Unit 1-Real Number System Flashcards

Student preview

80 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a rational number?

Back

A number that can be written as a fraction. It includes terminating or repeating decimals, integers, and whole numbers.

2.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

A number that cannot be written as a fraction. its decimal goes on forever without repeating.A number that cannot be written as a fraction. its decimal goes on forever without repeating.

3.

FLASHCARD QUESTION

Front

What is a perfect square?

Back

A number that is the square of a whole number.

1, 4, 9, 16, 25 are perfect square of a whole number times itself.

4.

FLASHCARD QUESTION

Front

What is a square root?

Back

A number that when multiplied by itself gives the original number. The square root of is 6.

5.

FLASHCARD QUESTION

Front

What is a perfect cube?

Back

A number that is the result of a whole number multiplied by itself THREE times. (1, 8, 27, 64, 125)

6.

FLASHCARD QUESTION

Front

What is a cube root?

Back

7.

FLASHCARD QUESTION

Front

Back

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