UNIT 7 PRACTICE PROBLEMS 1 Shade the indicated quantity and rewrite in the indicated forms a) 38 hundredths b) 15 100 Decimal: Expanded Form: Fraction Form: Decimal: Expanded Form: Word Name: c) 2 tenths and 2 hundredths d) 5 + 1 10 100 Decimal: Decimal: Expanded Form: Expanded Form: Fraction Form: Word Name: 1
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 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 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 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
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, -028 10 Place the following numbers in order from smallest to largest 02, 025, 074, 07, 040, 008 6
11 Order the signed decimals below using the symbols <, =, or > a) 045 054 b) 0308 0038 c) 032-099 d) 3005 305 e) 033 03 f) -048-0048 g) 509 51 h) 19321 1932 i) 12403 1002 j) 342 3402 k) 596-6 l) 819 82 12 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
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 186485 to the nearest whole number c) Round 5283 to the nearest hundredth d) Round 139081 to the nearest tenth e) Round 78165 to two decimal places f) Round 853 to the ones place g) Round 186485 to the nearest tenth h) Round 5283 to one decimal place i) Round 139081 to the nearest ten 8
16 Round the results of the application problems so that it makes sense in the context of the problem a) Amy is buying ribbon for an art project She estimates that she will need 334 meters of ribbon The store only sells ribbon by the tenth of a meter How many meters should she buy? b) John is catering a luncheon and needs 1237 pounds of sugar If sugar is only sold in one pound bags, how many bags should John buy? c) Shelly is buying shoes online and computes that she has enough money to buy 278 pairs of shoes How many pairs of shoes can she buy? d) Tia is making a work bench for her art studio She measures the space and needs 824 meters of plywood The store only sells plywood by the tenth of a meter How many meters should Tia buy? e) Jamie is running a booth at the local fair She computes that she needs to sell 8625 snow cones that day to make a profit Since she can only sell a whole number of snow cones, how many does she need to sell to make a profit? f) Crystal is buying Halloween candy at the store She has $20 and wants to buy as many bags of candy as possible She computes that she has enough to buy 691 bags of candy How many bags of candy can she buy? 9
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
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) 13 25 Decimal Name: Explain how you chose the region to shade: e) 11 50 Decimal Name: Explain how you chose the region to shade: 11
19 Write each fraction in decimal form Unit 7 Practice Problems a) 33 100 b) 308 10 Decimal: Decimal: c) 81 10 d) 5 100 Decimal: Decimal: e) 400 100 f) 3 1000 Decimal: Decimal: 20 Write the following fractions in decimal form Round to the nearest thousandth as needed a) 1 9 b) 2 3 c) 2 11 21 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) 11 13 Two decimal places: Thousandth: Four decimal places: Integer: 12
c) 2 1 7 Four decimals: Tenth: Unit 7 Practice Problems Whole Number: Hundredth: d) 3 4 11 Tenth: Hundredth: Integer: Thousandth: e) 24 8 9 Tenth: Hundredth: Whole Number: Ten: f) 8 3 Two decimal places: Four decimal places: Thousandth: Integer: g) 548 3 7 Ten: Tenth: Hundred: Hundredth: 13
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) 11012 h) 8004 14