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6-8 Accelerated 7 Unit 7 Lesson 13

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Unit 7, Lesson 13

Adding and Subtracting with Scientific Notation

Accelerated 7

Practice

Problem 1

Evaluate each expression, giving the answer in scientific notation:

\(5.3 \times 10^4 + 4.7 \times 10^4\)
\(3.7 \times 10^6 - 3.3 \times 10^6\)
\(4.8 \times 10^{\text-3} + 6.3 \times 10^{\text-3}\)
\(6.6 \times 10^{\text-5} - 6.1 \times 10^{\text-5}\)

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Problem 2

Lesson 13 Resources

Student Materials

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

to access Practice Problem Solutions.

Problem 3

Coordinate plane, time in minutes, 0 to 8, distance in kilometers, 0 to 5. Line segments connect the origin to 2 comma 1, 2 point 5 comma 1, 4 point 5 comma 2, 5 point 5 comma 2, 8 comma 4 point 5.

Write a scenario that describes what is happening in the graph.
What is happening at 5 minutes?
What does the slope of the line between 6 and 8 minutes mean?

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Problem 4

ForLesson 13: On Both of the Lines

Apples cost \$1 each. Oranges cost \$2 each. You have \$10 and want to buy 8 pieces of fruit. One graph shows combinations of apples and oranges that total to \$10. The other graph shows combinations of apples and oranges that total to 8 pieces of fruit.

Coordinate plane, x, number of apple, y, number of oranges.

Name one combination of 8 fruits shown on the graph whose cost does not total to \$10.
Name one combination of fruits shown on the graph whose cost totals to \$10 that are not 8 fruits all together.
How many apples and oranges would you need to have 8 fruits that cost \$10 at the same time?

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Problem 5

ForLesson 8: Solving Any Linear Equation

Solve each equation and check your solution.

\(\text-2(3x-4)=4(x+3)+6\)

\(\frac12(z+4)-6=\text-2z+8\)

\(4w-7=6w+31\)

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