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UNIT 12 DECIMALS NUMERATION 4 TH GRADE GIFTED

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VOCABULARY ones tens one hundred number line 1.The number 438,572 has a 7 in the __________ place. 2.Ten tens are equal to ______. 3.A _______ can be used to show numbers in order using a scale.

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Comparing Numbers > < = 1,909 1,999 43,627 43,167 629,348 455,311 455,331 101,101 101,011 95,559 95,555

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Order these numbers from greatest to least. 1.3,687 3,867 3,678 3,768 2.41,101 41,011 41,110 41,001 3.4,593 4,395 4,595 4,359 4.678,912 678,921 687,999 678,291

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Order from least to greatest. 15,420 154,200 1,542 543,897 54,380 534,978

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Use a decimal model to show 1.6 pounds.

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A decimal model can also show 1.6 hundredths.

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Write the decimal: 1.64 Standard form: Expanded form: Word form:

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Write the expanded form and word form. 3.91 6.8 1.09 2.3

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Write the decimal for each. What would the fraction be?

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Write the decimal shown. Write the fraction.

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Write the number in word and give the value of each red digit. 2.47 ________________________ 3.19 ________________________ 23.79 ________________________ 0.78 ________________________ 1.8 ________________________ 14.1 ________________________ 9.05 ________________________

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Write a number that has a 4 in the tens place and a 5 in the hundredths place. _________________________________ The capybara can grow to be 1.3 meters long. Write 1.3 in expanded form and in word form. ___________________

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The Green Darner is one of the largest dragonflies on Earth. It weighs about four hundredths of an ounce. Write the weight in standard form.

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Use the decimal model to explain why 0.08 is less than 0.1

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Write the word form and tell the value of each red digit. 2.300 __________________________ 9.027 __________________________ 1.982 __________________________ 6.17 __________________________ 4.983 __________________________ 8.46 __________________________

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Write each number in standard form. 6 + 0.6 + 0.03 + 0.007 3 + 0.3 + 0.009 9 = 0.2 + 0.04 + 0.008

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Write two decimals that are equivalent to the decimal below. 2.200 _________________________ 8.1 _________________________ 9.50 _________________________

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Bella finished a race in 2.6 hours, and Sophia finished the same race in 2.600 hours. Which runner finished the race first?

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Alex is buying juice at the market. He has $9, and each bottle of juice costs $2. Does he have enough money to buy 5 bottles of juice? Explain.

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Nikki made 19 pancakes for breakfast. She took 7 and gave an equal number to her dad and mom. How many pancakes did each of her parents get?

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The Borneo stick insect has a total length, including its legs, of 21.5 inches. Name two decimals that are equivalent to 21.5

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Worker leafcutter ants can measure 0.5 inch. Write three other ways to write 0.5 inch.

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Decimal to Whole Number Connection thousandshundredstensones. tenthshundredthsthousandths 1,000100101. 0.1 1/10 0.01 1/100 0.001 1/1000 5342. 435

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Write the place value for the red digit. 34.67 _____________________ 856.472 _____________________ 486.359 _____________________ 6,095.375 _____________________

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Write the number that is ten times as many. 1. _____________________ 0.01 _____________________ 100. _____________________ 0.001_____________________

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A telephone worker used 340.75 feet of cable. What is the place value of the 5 in 340.75 ? 3 4 0. 7 5

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The grid below shows one hundred equal parts. Each part is equal to one hundredth. How many hundredths are in one tenth?

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Write the place value for each bold digit. 572.672,368.7951,435.8899,654.328 601.651,754.7094,597.6246,332.470 2,867.4359,555.3921,843.25,642.437

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Write the number that is ten times as many. 0.07400.0080.9 350.60.03500 8.070.12501.005

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There are 100 fiction books in the classroom library. The school library has ten times as many fiction books. What is the number of fiction books in the school library?

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Ryan and Colin collected aluminum cans for the school recycling project. Look at the chart to find out who collected the most cans. Find the difference between the number of cans collected. RYAN1,352 COLIN1,329

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Kiley baked 3 times as many muffins as Kayla for the school bake sale. If Kayla baked 36 muffins, how many did Kiley bake? Kayla Kiley 36

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Mrs. B has 6 gallons of gas in her car. Her tank can hold 15 gallons. Will Mrs. B need more or less than 10 gallons of gas to fill her tank? _______ If gas is $3.49 per gallon, how much will it cost to fill up the tank?

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Ethan found two shells that are the same shape but are different sizes. One weighs 0.01 pound and the other weighs ten times as much. How much does the heavier shell weigh?

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Charlie and Kohle are discussing the value of the first 1 and the second 1 in the number 4.115 Charlie thinks the first 1 has greater value than the second. Is he correct?

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Decimals on the number line. 0 1 2 3 4 Locate 1.90 on the number line.

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Decimals on the number line. 0 1 2 3 4 Locate 2.3 on the number line. Locate 4.1 on the number line.

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Decimals on the number line. 0 1 2 3 4 Locate 0.8 on the number line. Locate 3.4 on the number line.

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Name the points on the number line. A B C D 0 1 2 3 4 AB CD

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Mark each point on the number line. 0 1 2 3 4 2.61.3 0.43.9

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Decimals on the number line. A B C D E F 7 8 9 ABC DEF

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Decimals on the number line. A B C D E F 2 3 4 ABC DEF

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Decimals on the number line. 7.00 7.30 7.60

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Decimals on the number line. 10 11 12 13 14 Locate 10.85 on the number line. Locate 12.42 on the number line.

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Decimals on the number line. 0 1 2 3 4 How many tenths between 1 and 2? How many hundredths between 1 and 2?

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Decimals on the number line. 7 8 9 Name two decimals between 8.4 and 8.6

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Sea level at Key West is rising about 1.8 millimeters per year. What is the place value of the digit 8 in this number?

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How do you round to the nearest tenth? What is 211.98 rounded to the nearest tenth? Look at the tenths place 211.98 Look at the digit to the right. 211.98 211.98 rounds to 212.0 Since the digit is 8, the digit in the tenths place increases by 1.

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Round 68.142 to the nearest hundredth. Look at the hundredths place 68.142 Look at the digit to the right 68.142 Since 2 < 5, the hundredths digit stays the same. 68.142 rounds to 68.14

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Round each to the place of the underlined digit. 17.2319.805 49.56267.591

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Round each to the place of the underlined digit. 60.8288.32.2830.69572.564 41.4830.819147.61857.95591.95 312.124.1081009.164.937.452 99.9978.6138.8230.912.55

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Name 3 decimals that when rounded to the nearest tenth, round to 7.8

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Which of these decimals does NOT round to 6? 5.71 5.91 6.82 6.249 6.001

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Megan wanted to know the total mass of two pieces of volcanic rock. The first piece had a mass of 4.99 grams and the second had a mass of 2.85 grams. Megan wants to record the combined masses of the two pieces of volcanic rock to the nearest gram. Is 4.0 + 2.9 a reasonable estimate of the masses to the nearest gram?

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Lauren was asked to round 89.367 to the nearest hundredth. She answered 89.40 Is she correct? Explain

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According to Jimmy’s rain gauge, it had rained 2.28 inches in 24 hours. What is 2.28 rounded to the nearest tenth? What is 2.28 rounded to the nearest whole number?

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Landon filled the car with 8.53 gallons of gasoline. To the nearest tenth of a gallon, how much gasoline did Landon put in the car?

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Maggie’s dog weighs 5.521 pounds. To the nearest whole number, how much does Maggie’s dog weigh?

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Autumn jogs 12 miles each week. How many miles does Autumn jog in 1 year?

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Which ones don’t belong? 3.6 4.2 4.1 3.9 4.4 3.8 4.6 3.5 4.8 3.7 4.3 3.2

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Ari bought 10 bagels. Three-tenths of the bagels are plain and the rest are cinnamon. How many cinnamon bagels are there?

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According to MapQuest, Bella and her family need to travel 53.19 miles to get to her grandmother’s house. What is this distance rounded to the nearest mile?

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Venn diagrams are very useful to show how different data belong to groups. Remember, if the data overlaps, the data belongs in more than one group. 2 3 2 4 8 10 14 20 16 6 12 18 3 9 15

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Which numbers in the Venn are multiples or 2? Which are multiples of 3? Which are multiples of both 2 and 3? Add the numbers 21, 22, and 24 to the Venn. 2 4 8 10 14 20 16 6 12 18 3 9 15

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Comparing Decimals > = < 48.64 48.689.27 9.2 3.692 3.6977.21 7.203

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Use the number line to help you compare 2.453 and 2.458 2 3

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COMPARE 0.890 0.89 5.733 5.6939.70 9.71 4.953 4.9511.403 1.43.074 3.740 0.7 0.570.23 0.326.562 6.559 1.1 1.103.406 3.46.57 6.571

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The most important thing you must remember is to LINE UP THE DECIMAL POINTS before you do ANYTHING! 4.601 34.8 2.79 1.02 +3.280 - 12.4 x.35 :.10

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Sophia earns $4 per week doing chores. If one flower costs $2, how many flowers can Sophia buy if she saves for three weeks?

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Which number is less than 0.125? 0.50.130.119 0.20.1240.126

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Alex said the numbers 3.04, 0.43, and 2.4 are in order from greatest to least. Is he correct or do the numbers need to be rearranged?

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Nikki has a bag of 500 nickels which weigh 5.5 pounds. A bag of 200 half dollars weighs 5 pounds. Which weighs more?

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Ryan said the numbers 7.37, 7.36, 2.59, and 2.95 were in order from greatest to least. Is he correct. Explain.

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Help Kiley put these numbers in order from least to greatest. 0.352 0.15 0.79 0.04 0.096 0.12 0.28 0.09 0.186

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Look at the line below. If you start at 0.4 and walk 0.8 mile, where will you end up on the line? 00.4

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Look at the drawing below. How can you use the mark on the line to find where 1.0 should be located? 00.2

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Kayla needs to redesign a banner for field day. She wanted her banner to be 2 feet long. Kayla marked 0.5 foot on her drawing. How can she use this distance to find 2 feet? 00.5

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Jimmy jogged 1.7 miles one morning. Ethan jogged 1.75 miles that same day. Who jogged the farthest? Explain.

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Colin wrote a four-digit number. He used the digits 2, 4, 6, and 8. How many different four-digit numbers could Colin have written?

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Kohle has half as many brothers as Charlie. If Kohle has “K” brothers, how many brothers does Charlie have? Write an algebraic expression.

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Maggie has 3 coin purses with 58 coins in each. How many coins does Maggie have?

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Lauren and Bekah sold 45 boxes of Girl Scout cookies. They deliver “C” boxes each day for 5 days. Solve.

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Maggie wants to find which number is equal to three and twenty-two thousandths? Which should she pick? 3.22003,22 3.0223.0022

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Megan is cooking 4.619 pounds of spaghetti. To the nearest hundredth, how many pounds of spaghetti is Megan cooking? 4.60 pounds4.62 pounds 5 pounds4.7 pounds

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Landon is trying to find which number has a 5 in the thousandths place. 9,562,791.1825.858 385.59176.245

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Ari is making a banner for Girl Scouts. She marked 0.5 on a piece of banner paper. What should she do to find 1.0? Find the distance halfway to 1 Find the 0.5 and move right 0.5 more Double the distance from 0.5 Move 0.5 to the left of 0.5

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Autumn is mailing a present that weighs 15.683 pounds. To the nearest tenth, how many pounds does the package weigh?

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What is the place value of the 9 in 4,602.791? Ones Tenths Hundredths Thousands

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Put these numbers in a Place Value chart. Now put them in order from least to greatest. 90.49 90.4 9.149

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Which of these statements is true? 5.352 < 5.3505.350 = 5.360 5.353 < 5.3605.358 > 5.360

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Which of the following are less than 8.007 8.0028.200 8.0208.022

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Put each set of numbers in order from greatest to least. 9.8 9.78 9.87 9.87 9.8 9.78 9.78 9.87 9.9 9.9 9.8 9.98

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What is ten times as many as the number 0.04? 0.0040.04 4.00.4

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Which decimal is shown in the model below? 2.0 2.96 2.40 2.04

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