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 $$\frac{a^7}{a^{14}}$$ simplified?

$$\frac{a^7}{a^{14}} = a^{7-14} = a^{-7} = \frac{1}{a^7}$$ .

What is the difference between Mercury's and Neptune's distances from the sun?

To find the difference, subtract Mercury's distance from Neptune's distance. If Mercury is $$5.7 \times 10^7$$ km and Neptune is $$4.5 \times 10^9$$ km, the difference is $$4.5 \times 10^9 - 5.7 \times 10^7$$ .

What is $$12 \times 10^6 + 13 \times 10^7$$ ?

Convert $$13 \times 10^7$$ to $$1.3 \times 10^8$$ , then add: $$12 \times 10^6 + 1.3 \times 10^8 = 1.42 \times 10^8$$ .

What is the total weight of 30 whales each weighing $$3.8 \times 10^5$$ pounds?

Total weight = $$30 \times 3.8 \times 10^5 = 114 \times 10^5 = 1.14 \times 10^7$$ pounds.

What does it mean to subtract in scientific notation?

Subtracting in scientific notation involves ensuring both numbers have the same exponent before subtracting the coefficients.

What is the value of $$10^0$$ ?

$$10^0 = 1$$ . Any non-zero number raised to the power of zero is equal to one.

What is the significance of the exponent in scientific notation?

The exponent in scientific notation indicates the scale of the number, showing how many places the decimal point has been moved.

How do you express 12,000,000 in scientific notation?

12,000,000 can be expressed as $$1.2 \times 10^7$$ .

What is the product of $$2^3$$ and $$2^4$$ ?

$$2^3 \times 2^4 = 2^{3+4} = 2^7 = 128$$ .

Exponents and scientific notation Flashcards

Student preview

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 is scientific notation?

Back

Tags

CCSS.8.EE.A.3

3.

FLASHCARD QUESTION

Front

How do you add numbers in scientific notation?

Back

To add numbers in scientific notation, they must have the same exponent. If they do not, convert them to the same exponent before adding the coefficients.

Tags

CCSS.8.EE.A.4

4.

FLASHCARD QUESTION

Front

What is the rule for multiplying numbers in scientific notation?

Back

Tags

CCSS.8.EE.A.4

5.

FLASHCARD QUESTION

Front

What is the rule for dividing numbers in scientific notation?

Back

Tags

CCSS.8.EE.A.4

6.

FLASHCARD QUESTION

Front

How do you convert a number from standard form to scientific notation?

Back

To convert a number from standard form to scientific notation, move the decimal point to create a number between 1 and 10, and count the number of places moved to determine the exponent.

Tags

CCSS.8.EE.A.3

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

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