zMath Intervention Math  - Unit 3: Whole Numbers and Decimals, Addition and Subtraction
Some of the questions in this course may be answered by recording an audio file. If you chose to record the answer, click on the Add Recording button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.) Recording Audio Alert:  The latest version of Java must be installed on your computer in order to record audio. If you are having difficulty, please go to: www.java.com and click on " Free Java Download." For Windows users, you will then click on "Agree & Start Free Download." For other operating systems, click on the "All Java Downloads" link to find your specific instructions.  You may need to restart (close and re-open) your browser to enable the Java installation in your browser.

Place Value

1) What is the place value of the digit 4 in 6,296.04?

2) What is the place value of the digit 9 in 45.93?

3) What is the place value of the digit 2 in 102,584?

4) What digit is in tens place in 8,536.4?

5) What digit is in ten thousands place in 56,823?

6) What digit is in ones place in 5,378.1?

For the next two problems, refer to “Reading a Meter” in the content link to “Place Value.

7) How many kilowatt hours are shown on the electric meter?

8) How many kilowatt hours are shown on the electric meter?

Add and Subtract Whole Numbers

9) Estimate the sum rounding each number to the nearest hundred: 485 + 238 + 98

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10) What is the actual sum in the previous problem?

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11) Estimate the sum rounding each number to the nearest ten: 6824 + 355 + 67

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12) What is the actual sum in the previous problem?

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13) Explain in detail how to calculate the sum of each place value in the following order: ones, tens, hundreds, thousands, and ten thousands. Then, state the actual sum. Look for some mental math shortcuts to make the addition easier; in other words, look for numbers that add up to 10. Only use a calculator to check the answer.

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Use the following scenario to solve the next two problems: Jasmine works a part-time job to earn money for the senior trip. The estimated cost of the trip is $450 for bus and rooms, $225 for food, and $125 for souvenirs. Jasmine has already saved $367 for the trip.

14) What is the total estimated cost of the senior trip?

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15) How much more money does Jasmine need for the senior trip? What are the key words in this question that determined the operation that is to be used to solve the problem?

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Add and Subtract Decimals

16) When adding and subtracting decimals using paper and pencil, what can be done so that the place values will line up correctly?

17) Estimate the sum by rounding to the nearest whole number: 26.5 + 0.72 + 9.0006

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18) What is the actual sum in the previous problem?

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19) Estimate the difference by rounding to the nearest ten: 343 – 62.89

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20) What is the actual difference in the previous problem?

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For the next three problems, refer to the check register below.

21) What is the beginning balance?

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22) How much was deposited on 2/25 and what was the balance after the deposit?

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23) A new check, check number 203, is written in the amount of $84.26 to the Humane Society (HSUS) on 3/02. What will be the new balance on 3/02?

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For the next three problems, refer to the check illustrated below.

24) Why are the numbers in the amount of the check written close to the dollar sign?

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25) What word replaces the decimal point in the amount when it is written in words?

26) What is the name of the payee on the check?

Perimeter

27) What is the perimeter of a rectangle that has a width of 7.7 centimeters and a length of 12.29 centimeters?

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28) What is the perimeter of the isosceles trapezoid? (Note: In an isosceles trapezoid, the non-parallel sides are congruent; that is, the measurements are equal.)

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29) On paper, draw a rectangle with a perimeter of 26 inches. What is the length and width of the rectangle?

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30) Vanessa is planting flowers around her patio. The flowers will be planted along the two sides and along one length of the patio. She is planting four plants for every one foot. (a) How many plants will Vanessa need to purchase? (b) Explain how to solve this problem.

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Choosing the Best Method

31) Jason is ordering parts to update his motorcycle. The total bill must be prepaid with a check or money order. Jason needs a seat for $139.95, a tank for $254.95, and an odometer for $89.99. There is no tax and shipping is free. Should Jason estimate the amount needed or should Jason determine an exact amount? Please explain.

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32) Andrew is planning to take his girlfriend to dinner and a movie. Dinner costs about $12.95 per person and a movie ticket costs about $6.95 per ticket. (a) Explain why Andrew should probably estimate his expenses. (b) To the nearest dollar, estimate the amount of money Andrew should take to cover the expenses.

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33) A rectangle, a circle, and a triangle are each a different color (red, green, and blue). The figure that has three sides is not red, one of the figures is blue, and the green figure is round. Find the color of each figure.

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