# UNIT 7 PRACTICE PROBLEMS

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1 UNIT 7 PRACTICE PROBLEMS 1 Shade the indicated quantity and rewrite in the indicated forms a) 38 hundredths b) Decimal: Expanded Form: Fraction Form: Decimal: Expanded Form: Word Name: c) 2 tenths and 2 hundredths d) Decimal: Decimal: Expanded Form: Expanded Form: Fraction Form: Word Name: 1

2 2 Shade the indicated quantity and rewrite in the indicated forms a) 04 b) 080 Fraction Name: Word Name: Expanded Form: Fraction Name: Word Name: Expanded Form: c) 091 d) 003 Fraction Name: Word Name: Expanded Form: Fraction Name: Word Name: Expanded Form: 2

3 3 Shade the indicated quantity and write the corresponding decimal number a) 6 tenths and 3 hundredths and 5 thousandths Decimal Number: Expanded Form: b) 3 hundredths and 2 thousandths Decimal Number: Expanded Form: c) 452 thousandths Decimal Number: Expanded Form: 3

4 4 Shade the indicated quantity Then write the number in words and expanded form a) 0123 Expanded Form: In words: b) 0016 Expanded Form: In words: c) 0502 Expanded Form: In words: 4

5 5 Use the give number lines to plot the following decimals a) Plot 03, 08, -05, and -09 on the number line below Label the points underneath the number line b) Plot 18, 02, -11, and -27 on the number line below Label the points underneath the number line 6 The number line below is partitioned in fourths (or quarters) Use the given tick marks to approximate all of the decimals to the tenths place between 1 and 1 on the number line Label the points underneath the number line 7 Use quarters as benchmarks to approximate the decimals on the number line Label the points underneath the number line a) 14, -21, 08, -13 b) -025, 088, -012, 061 5

6 Thousandth Hundredth Tenth One Ten Hundred Unit 7 Practice Problems 8 Use the place value chart to order the numbers from least to greatest 28, 208, 288, 2088, 2008, 2808, 028 Ones Decimals 9 Use your knowledge of negative numbers to order the numbers below -28, -208, -288, -2088, -2008, -2808, Place the following numbers in order from smallest to largest 02, 025, 074, 07, 040, 008 6

7 11 Order the signed decimals below using the symbols <, =, or > a) b) c) d) e) f) g) h) i) j) k) l) Round the number represented below (Note: The big square is the unit Gray shading represents a whole) Given number: Rounded to the one s place: Rounded to the tenth s place: Rounded to the nearest whole number: Rounded to one decimal place: 13 Round the number represented below Rounded to the nearest whole number: Rounded to one decimal place: Rounded to the nearest tenth: 7

8 Thousandth Hundredth Tenth One Ten Hundred 14 Round the number represented below Unit 7 Practice Problems Rounded to the nearest whole number: Rounded to one decimal place: Rounded to the nearest hundredth: 15 Put the numbers in the place value chart Use the place value chart as an aid to round the number to the indicated place value a) Round 853 to the nearest tenth Ones Decimals b) Round to the nearest whole number c) Round 5283 to the nearest hundredth d) Round to the nearest tenth e) Round to two decimal places f) Round 853 to the ones place g) Round to the nearest tenth h) Round 5283 to one decimal place i) Round to the nearest ten 8

10 17 Write the decimal approximations for the given numbers as place value numbers a) In 2015, the population of Tallyville was approximately 882 million people b) The tallest building in Tallyville is approximately 224 thousand feet c) The smallest bug in Tallyville has a radius of approximately 56 hundredths of an inch d) The width of a piece of paper in Tallyville is approximately 181 tenths of an inch 18 Shade the fractional amount of the grid that is named (The ten by ten decimal grid is the unit) Explain how you knew the region to shade Write the decimal name for each shaded region a) 1 5 Decimal Name: Explain how you chose the region to shade: 10

11 b) 4 5 Decimal Name: Unit 7 Practice Problems Explain how you chose the region to shade: c) 3 20 Decimal Name: Explain how you chose the region to shade: d) Decimal Name: Explain how you chose the region to shade: e) Decimal Name: Explain how you chose the region to shade: 11

12 19 Write each fraction in decimal form Unit 7 Practice Problems a) b) Decimal: Decimal: c) d) Decimal: Decimal: e) f) Decimal: Decimal: 20 Write the following fractions in decimal form Round to the nearest thousandth as needed a) 1 9 b) 2 3 c) Approximate the following fraction with a decimal by dividing on your calculator Round to the indicated place value a) 5 9 Tenth: Hundredth: Whole Number: One decimal place: b) Two decimal places: Thousandth: Four decimal places: Integer: 12

13 c) Four decimals: Tenth: Unit 7 Practice Problems Whole Number: Hundredth: d) Tenth: Hundredth: Integer: Thousandth: e) Tenth: Hundredth: Whole Number: Ten: f) 8 3 Two decimal places: Four decimal places: Thousandth: Integer: g) Ten: Tenth: Hundred: Hundredth: 13

14 22 Complete the table below Show all of your work for simplifying the fraction Unit 7 Practice Problems a) 05 Decimal Fraction Simplified Fraction b) 046 c) 042 d) 0008 e) 02 f) 705 g) h)

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