An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 \times 2 \times 2 = 8$$ .

What is the relationship between exponents and roots?

Exponents and roots are inversely related. The square root of a number can be expressed as an exponent of 1/2. For example, $$\sqrt{x} = x^{1/2}$$ .

How do you approximate square roots?

To approximate square roots, find two perfect squares between which the number lies. For example, to approximate $$\sqrt{50}$$ , note that it lies between $$7^2 (49)$$ and $$8^2 (64)$$ .

What is the value of $$2^{-3}$$ ?

The value of $$2^{-3} = \frac{1}{2^3} = \frac{1}{8}$$ .

Determine the approximate value of $$\sqrt{149}$$ to the tenths place.

The approximate value of $$\sqrt{149}$$ is about $$12.2$$ .

What is the value of $$\sqrt{64}$$ ?

The value of $$\sqrt{64} = 8$$ .

How do you express a number in scientific notation?

To express a number in scientific notation, move the decimal point to create a number between 1 and 10, then count the number of places moved to determine the exponent of 10. For example, $$4500 = 4.5 \times 10^3$$ .

What is the approximate value of the cube root of 127?

The cube root of 127 lies between 5 and 6.

7th - Exponents, Scientific Notation Fall 2024 Semester Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponent?

Back

Tags

CCSS.6.EE.A.1

2.

FLASHCARD QUESTION

Front

What does a negative exponent represent?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

How do you convert a negative exponent to a positive exponent?

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

What is scientific notation?

Back

Tags

CCSS.8.EE.A.3

5.

FLASHCARD QUESTION

Front

How do you multiply numbers in scientific notation?

Back

Tags

CCSS.8.EE.A.4

6.

FLASHCARD QUESTION

Front

What is the cube root of a number?

Back

Tags

CCSS.8.EE.A.2

7.

FLASHCARD QUESTION

Front

How do you find the square root of a perfect square?

Back

Tags

CCSS.8.EE.A.2

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