Lesson 15: Adding and Subtracting with Scientific Notation | Unit 7: Exponents and Scientific Notation

Multiple Choice

What is the result of the expression $$5.3 \times 10^4 + 4.7 \times 10^4$$ in scientific notation?

• 5.0 imes 10^4
• 1.2 imes 10^5
• 9.0 imes 10^4
• 1.0 \times 10^5

Multiple Choice

Evaluate the expression $$3.7 \times 10^6 - 3.3 \times 10^6$$ and give the answer in scientific notation.

• 5.0 × 10^6
• 4.0 × 10^5
• 4.5 × 10^5
• 3.4 × 10^5

Multiple Choice

Evaluate the expression $$4.8 \times 10^{-3} + 6.3 \times 10^{-3}$$ and give the answer in scientific notation.

• 1.11 × 10^{-2}
• 4.0 × 10^{-3}
• 1.20 × 10^{-2}
• 1.00 × 10^{-2}

Multiple Choice

Evaluate the expression $$6.6 \times 10^{-5} - 6.1 \times 10^{-5}$$ and give the answer in scientific notation.

• 4.0 × 10^{-6}
• 6.0 × 10^{-5}
• 5.0 × 10^{-6}
• 5.5 × 10^{-6}

Multiple Choice

Here are the areas for each of the five Great Lakes:

• Superior: $$8.2 \times 10^4$$ square km
• Huron: $$6.0 \times 10^4$$ square km
• Michigan: $$5.8 \times 10^4$$ square km
• Erie: $$2.6 \times 10^4$$ square km
• Ontario: $$1.9 \times 10^4$$ square km

How much larger is Lake Huron than Lake Michigan? Give your answer with and without scientific notation.

• 1500 square km (1.5 x 10^3 square km)
• 1000 square km (1.0 x 10^3 square km)
• 3000 square km (3.0 x 10^3 square km)
• 2000 square km (2.0 x 10^3 square km)

Multiple Choice

Here are the areas for each of the five Great Lakes:

• Superior: $$8.2 \times 10^4$$ square km
• Huron: $$6.0 \times 10^4$$ square km
• Michigan: $$5.8 \times 10^4$$ square km
• Erie: $$2.6 \times 10^4$$ square km
• Ontario: $$1.9 \times 10^4$$ square km

Which is larger — Lake Michigan and Lake Ontario combined, or Lake Superior? Give the difference with and without scientific notation.

• Lake Michigan is larger by 3000 km² (0.3 x 10^4 km²).
• Lake Ontario is larger by 2000 km² (0.2 x 10^4 km²).
• Lake Michigan and Lake Ontario combined are larger by 1000 km² (0.1 x 10^4 km²).
• Lake Superior is larger by 5000 km² (0.5 x 10^4 km²).

Open Ended

Noah reads the problem, “Evaluate each expression and give the answer in scientific notation.” The first problem part is: $$5.4 \times 10^5 + 2.3 \times 10^4$$ . Noah says, “I can rewrite $$5.4 \times 10^5$$ as $$54 \times 10^4$$ . Now I can add the numbers: $$54 \times 10^4 + 2.3 \times 10^4 = 56.3 \times 10^4$$ .” Do you agree with Noah’s solution to the problem? Explain your reasoning.

Multiple Choice

How much larger is Russia than Canada in terms of area?

• 7.12 x 10^6 km²
• 10.1 x 10^6 km²
• 3.2 x 10^6 km²
• 5.5 x 10^6 km²

Open Ended

Here is a table showing the areas of the seven largest countries. The Asian countries on this list are Russia, China, and India. The American countries are Canada, the United States, and Brazil. Which has the greater total area: the three Asian countries, or the three American countries?

Multiple Choice

A teacher tells her students she is just over 1 and $$\frac{1}{2}$$ billion seconds old. What is her age in seconds using scientific notation?

• 2.0 x 10^9
• 1.5 x 10^9
• 1.0 x 10^8
• 1.2 x 10^9