# Lesson 15

Adding and Subtracting with Scientific Notation

### Problem 1

Evaluate each expression, giving the answer in scientific notation:

1.  $$5.3 \times 10^4 + 4.7 \times 10^4$$
2. $$3.7 \times 10^6 - 3.3 \times 10^6$$
3. $$4.8 \times 10^{\text-3} + 6.3 \times 10^{\text-3}$$
4. $$6.6 \times 10^{\text-5} - 6.1 \times 10^{\text-5}$$

### Solution

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### Problem 2

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

### Solution

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(From Unit 5, Lesson 10.)

### Problem 3

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.

1. Name one combination of 8 fruits shown on the graph that whose cost does not total to $10. 2. Name one combination of fruits shown on the graph whose cost totals to$10 that are not 8 fruits all together.

3. How many apples and oranges would you need to have 8 fruits that cost \$10 at the same time?

### Solution

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(From Unit 4, Lesson 10.)

### Problem 4

Solve each equation and check your solution.

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

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

$$4w-7=6w+31$$

### Solution

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(From Unit 4, Lesson 5.)