Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation | Unit 7: Exponents and Scientific Notation

Evaluate the expression $$(1.5 \times 10^2) (5 \times 10^{10})$$ . Use scientific notation to express your answer.

Evaluate the expression $$\dfrac{4.8 \times 10^{-8}}{3 \times 10^{-3}}$$ . Use scientific notation to express your answer.

Evaluate the expression $$(5 \times 10^8) (4 \times 10^3)$$ . Use scientific notation to express your answer.

Evaluate the expression $$(7.2 \times 10^3) \div (1.2 \times 10^5)$$ . Use scientific notation to express your answer.

How many bucketloads would it take to empty out the world’s oceans? Write your answer in scientific notation. Some useful information: The world’s oceans hold roughly $$1.4 \times 10^{9}$$ cubic kilometers of water. A typical bucket holds roughly 20,000 cubic centimeters of water. There are $$10^{15}$$ cubic centimeters in a cubic kilometer.

What is the value of $$(3.1 \times 10^4) \cdot (2 \times 10^6)$$ ?

Graphite is made up of layers of graphene. Each layer of graphene is about 200 picometers, or $$200 \times 10^{-12}$$ meters, thick. How many layers of graphene are there in a 1.6-mm-thick piece of graphite? Express your answer in scientific notation.