zMath Intervention Math  - Unit 1: The Meaning of Whole Numbers and Decimals
Place Value

1) What is the value for the digit 8 in the given number?

2) What digit is in tenths place?

3) What is the expanded notation for 56,805 in exponential form? State the letter of the correct answer.

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4) What is the expanded notation for 527.456? State the letter of the correct answer.

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Positive Exponents

5) Express the given number as a product of factors, and then evaluate. State the letter of the correct answer.

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6) What is the value of the given exponential expression?

7) Julie is laying tiles in her kitchen. The number of tiles she has is "7-squared". Julie has how many tiles?

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8) The volume of a cube is "6-cubed" centimeters. What is the volume of the cube?

Perfect Squares and Square Roots

9) List five perfect squares that are less than 150.

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10) What is the square root?

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11) Solve for “x”. (Hint: What number times itself will give 225?)

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12) The area of the given square is 49 square inches. How long is one side?

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Approximate Square Roots of Non-perfect Squares

13) Approximate the square root and round to the nearest tenth.

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14) Approximate the square root and round to the nearest tenth.

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15) Solve for “x” to the nearest tenth. (Hint: Find a decimal that, when multiplied by itself, will be approximately 46.)

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Equivalent Decimals

16) True or False. 9.100 = 9.1

17) Which number is equivalent to 12.37?

18) Which mixed number is equivalent to 4.227? State the letter of the correct answer.

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Comparing Whole Numbers and Decimals

19) How do the two whole numbers compare?

20) How do the two decimals compare?

21) What number can be added to 65.36 to get 65.66?

22) Put the following decimal numbers in order from least to greatest: 8.33, 0.833, 83.3, and 0.0833

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Round Whole Numbers

23) Round 256,289 to the nearest thousand.

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24) Round the whole number to the place value that is underlined.

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25) Brooke bought a jacket for $29.95. To the nearest dollar, how much did Brooke pay for the jacket?

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Rounding Decimals

26) Round 32.84 to the nearest whole number.

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27) Round 238.725 to the nearest hundredth.

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28) Round 39.9292 to the nearest thousandth.

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FIT (Federal Income Tax)

For the next two questions, refer to the sample Federal Income Tax table provided below.  This same table is shown in the content link for this section with an example of how to read and interpret the table.

29) Linda and David file their taxes as “married filing jointly”. Linda’s taxable income was $13,796 and David’s taxable income was $12,850. Together, how much will they pay in taxes?

30) Karen’s income tax was $3,476. She filed as “head of a household”. Karen’s taxable income could have been what range of amounts? (Note: Income amounts are rounded to the nearest dollar.)

United States Time Zones

For the last three problems, refer to map shown below.This same map is shown in the content link for this section with examples of how to read and interpret the map.

 


31) What time is it in Montana if it is 11:30 AM in Minnesota?

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32) An airplane left Los Angeles, CA, at 2:45 PM for a nonstop flight to New York City, New York. What time was it in New York when the plane left California?

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33) If the flight mentioned in the previous problem lasted 4 hours and 15 minutes, what was the arrival time of the plane in New York City?

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