# math help 44

**PART I: EXERCISES**

**Directions**: Answer each of the following questions. When appropriate, please show work.

- 1.Give the first five whole numbers. Is there a largest whole number?

- 2.In the number 395, 821, which digit tells the number of ten thousands?

- 3.Write expanded notation: 6815

- 4.Write a word name: 92,534,107

- 5.State the following laws and give an example.

Commutative Law of Addition:

Associative Law of Addition:

- 6.Add the following: 1693 + 4205

- 7.Add the following: 21,743 + 53,182

- 8.Is subtraction Commutative? Why or why not?

- 9.Subtract the following: 9853 – 2541

- 10.Subtract the following: 5649 – 3487

- 11.State the following laws and give an example.

Commutative Law of Multiplication:

Associative Law of Multiplication:

- 12.Multiply the following: 9436 x 6

- 13.Multiply the following: 4259 x 300

- 14.Is division Commutative? Why or why not?

- 15.Divide the following: 46 ÷ 6

- 16.Divide the following: 480 ÷ 6

- 17.Give the rules for rounding.

- 18.Round 36,819 to the nearest thousand.

- 19.What is an equation?

- 20.Define
*variable.*

- 21.How do you check the solution of an equation?

- 22.Solve for x. 16 + x = 49

- 23.Solve for x. 352 ÷ 16 = x

- 24.Solve for n. 20·n = 1500

- 25.In your own words, summarize the Five Steps for Problem Solving on page 54 of the book.

- 26.Bryant collected $364 for a charity fundraiser. This was $89 more than Bryce collected. How much did Bryce collect?

- 27.A baker pours 108 oz of batter into 36 muffin tins, pouring the same amount in each. How much batter is in each tin?

- 28.Write exponential notation: 4 x 4 x 4 x 4 x 4 x 4

- 29.Evaluate: 4
^{3}

- 30.State the Order of Operations on page 72. You may also refer to PEMDAS.

- 31.Simplify: (12 + 6) + 18

- 32.Simplify: 2·(3)
^{2}

- 33.Simplify: 28 – 4 ÷ 2 + 3

- 34.Simplify: (32 – 27)
^{3}+ (19 + 1)^{3}

- 35.Simplify: 6
^{2}– 4^{2}÷ 2

**PART II: PRACTICAL APPLICATION**

**Directions**: Make a budget for a road trip to your favorite destination.

**Materials**: State and local highway maps for each group, calculators (optional)

**Background Planning**: a road trip involves several mathematical computations. For

instance, the total distance to be traveled and the estimated cost for gas can

be calculated using the concepts learned in this chapter.

1. Before you begin your calculations, select a destination for a road trip you could take on a long weekend.

Origin:

Destination:

2. Using the appropriate state and local highway map(s), highlight the route you would take to get to your destination and back home again. Calculate the total distance you would need to drive.

*Round this distance to the nearest hundred.*

Total distance:

Estimated distance:

3. Estimate the gallons of gas you would need for your trip. Use the miles per gallon (mpg) rating on one of your vehicle. Then calculate the total cost of the gas. Use

the price per gallon of gas in your area.

Gallons of gas needed:

Total cost for gas:

4. Now decide how many days and nights it would take to complete the trip. Then calculate the cost for the accommodations.

Days of travel:

Number of nights’ accommodation:

Total cost for accommodations:

5. Based on the days of travel, calculate how many meals you would need to eat during the trip. Then calculate the cost of the meals for all the people on this trip.

Number of meals per person:

Total number of meals:

Cost for meals:

6. Summarize your estimated costs below. Include a reasonable figure for the cost of

miscellaneous items. These might include the cost of admission tickets, souvenirs, parking, and tolls.

*Item Estimated Cost*

Gas:

Accommodation:

Meals:

Miscellaneous:

Total:

*Conclusion*

As you can see, planning a budget for a road trip involves the operations of

addition, subtraction, multiplication, and division, as well as estimation.

Use the steps given in this activity to plan a road trip for yourself and

family or friends.

**PART III: JOURNAL ACTIVITY**

**Directions**: Write a page about why it is important to know and use the Order of Operations. Also, note where else you follow a certain order, rules, or steps, and how not following these can cause problems.