Presentation on theme: "MATH CHAPTER 14 fractions and decimals"— Presentation transcript:
1 MATH CHAPTER 14 fractions and decimals 4TH GRADE
2 greater tenth hundredth decimal point less1. One of ten equal parts of a whole in one ___.2. A dot used to separate dollars from cents or ones from tenths in a number is called a ___.3. One part of 100 equal parts of a whole is one ___.4. The number 3,704 is ___ than the number 3,407.
3 Write the decimal and fraction for each shaded part.
9 Write each fraction in simplest form. 2/83/35/103/125/156/98/106/164/105/2050/10020/8021/2812/1525/3012/208/1828/5021/338/40
10 Write each fraction as a decimal or decimal as a fraction. 6/100.0833/1000.50040/106/19/1000.030.851.0275/1003/4
11 Write each decimal in word form. 0.150.080.370.650.0020.1541.350.2504.001
12 Equivalent Fractions and Decimals 9 = 1 x 25 = 2536 = 4 x 25 = = 0.252/59/201/254/207/5003/129/183/2005/257/2012/1613/50
13 Write each fraction as a decimal. 3/152/46/163/202/89/501/254/203/2005/257/204/813/2010/2516/2012/167/25013/5024/301/2
14 batting average as a fraction Now write it as a decimal. Jane got 24 hits out of 40times at bat. What is herbatting average as a fractionin simplest form?Now write it as a decimal.
15 The model below represents 1 whole The model below represents 1 whole. Mary says that the shaded part of the model shows that 70/100 = 0.07Is she correct? Explain.
16 A band has 20 instruments. Tyler says that 2/5 of the instruments are string instruments and of the instruments are wind instruments. Does the band have the same number of wind instruments and string instruments? Explain.
17 once. How many different 4 Joel wrote a 4 digitnumber. He used each ofthe digits 1, 3, 5, and 7 onlyonce. How many different 4digit numbers can Joelwrite?
18 The cell phone was invented many years ago was the cell in Sweden in Howmany years ago was the cellphone invented?
19 Write a fraction in simplest form with an equivalent decimal to show what part ofa dollar 5 cents represents.
20 Nine of the 12 students in the school play are fourth graders. What fraction andequivalent decimal representsthe part of students that arefourth graders?
21 her paper route. She delivers newspapers every day. How Helga has 37 customers onher paper route. She deliversnewspapers every day. Howmany newspapers does shedeliver in one week?
22 Bryon’s score on a 5 point quiz was 4 out of 5, or 4/5.Write 4 out of 5 as adecimal.
23 Solve for z Z + 22 = 24 Z – 19 = 24 Z x 4 = 32 Z 9 = 4 15 z = 24 = 1
24 Round each decimal to the nearest tenth. 9.641.055.5216.6787.243.5296.2117.8689.132.7814.752.5015.2751.293.74
25 Find the sum. Check your answer. 9 + 3,17, ,781, , 275,
26 Find the value of W.20 = W - 68W = 9W x 6 = 42W – 12 = 50
27 TRUE or FALSE The expression 101 – 25 equals 76 The product of 4 and is closer to 2,400 than 2,800The sum of and is less than 400The quotient of 0 divided by 1 is 1The product of 5 and 45 is 25 more than 200The difference of and is greater than 600
28 Fractions and Decimals on the Number Line What fraction is a point Q l l l l l l lWhat fraction is a point QQ
29 Name the decimal on the number line. l l l l l l l l l
30 What numbers are at Points R ? l l l l l l l ll l l l l l l lRR
31 Where would you locate 1.15 on this number line? What is located at Point C?What is located at Point F?l l l l l l l l l lC F
32 Identify the value of each Point below. J K L M Nl l l l l l l l l lJ.K.L.M.N.
33 Name the fraction that should be written at each Point. V W X Y Zl l l l l l l l/ /10
34 Which point on the number line represents the same point as Point Z? l l l l l l l l ll l l l l l l l l l lZ
35 Frank walked 4/5 of a mile to the library Frank walked 4/5 of a mile to the library. What is the distance as a decimal?0.40.450.540.8
36 Find the missing operation and the missing variable for each. 72 __ y = 86 __ z = 308 __ b = 5654 __ m = 63 __ t = 2164 __ a = 828 __ k = 46 __ v = 365 __ r = 4049 __ e = 7
37 buy a pair of jeans that costs David has $34. He wants tobuy a pair of jeans that costs$37. How much more moneydoes David need?$34 ___ $ J = $37
38 invitations to mail. She mailed some to her friends. If 24 invitations Lorna had 37 birthdayinvitations to mail. Shemailed some to her friends.If 24 invitationsare left, how many stampsdoes she need to buy?
39 Edward and Gary are helping pave their patio. They have 42 square patio blocks. Ifthey stack them in equalgroups of 7 blocks, howmany stacks will there be?
40 Juilo’s has a pet rabbit. There were 4 rabbits (kits) in each litter. Juilo’s rabbit is motherto 24 rabbits. How manylitters of rabbits were there?4 ___ K = 20
41 Kelly has 2 ¾ yards of material to make a costume for the school play. A number like 2 ¾ has a WHOLEnumber and a FRACTIONAL part.2 ¾ is called a MIXED number.Show a model for 2 ¾.Change 2 ¾ to a decimal.
42 Write a decimal and a mixed number for the model below.
43 Write a decimal and a mixed number for the model below.
44 Write and equivalent decimal for each mixed number or a mixed number for each decimal. 2 3/1001 499/10003.25 17/1009 3/102.1171.61 81/1004.523 67/100893/10007.300
45 It takes Neptune 164. 8 years to revolve once around the sun It takes Neptune years to revolve once around the sun. Write this decimal as a mixed number.
46 Martin ordered a medium pizza with cheese for $9. Each additional topping, t, costs $2.Write an algebraic expressionto represent the cost of apizza with t toppings in dollars.
47 produces 4 ½ gallons of milk each day. How much milk is The average milk cowproduces 4 ½ gallons of milkeach day. How much milk isthis amount written as adecimal?
48 The Great Owlet Moth has a wingspan of 12. 13 inches The Great Owlet Moth has a wingspan of inches. Write this number as a mixed number.
49 The tiny harvestmouse weighsabout ¼ ounce.What is ¼ indecimal form?
50 Nelly skated miles farther than the 1 3/5 miles she had skated the day before. Use the number line to show this total distance as a decimal and as a mixed number.l l l l l l l l l l
51 Patricia biked between 3.5 and 4.0 miles. What distance in tenths, could she haveskated?l l l l l l l l l l l l l
52 Fraction or Mixed Number The table below shows what you might have paid to buy different foreign currencies in a recent year. Write each decimal as a fraction or a mixed number.CURRENCYCOST IN U.S. DOLLARSFraction or Mixed Number1 British pound$1.7591 Canadian dollar$0.9321 Mexican peso$0.089
53 Randy and Tim shared a small apple pie. Randy ate 3/10 and Tim ate 2/5. What part of thepie did they eat?Fraction = _____Decimal = _____How much was left for me?Fraction = _____ Decimal = _____
54 Complete the number line to compare the two distances. Sara lives 2 ½ miles from the school. Steven lives miles from the school. Who lives closer to the school?Complete the number line to compare the two distances.l l l l l l l l l l l l l l
55 You can write a fraction as a decimal and as a percent.This floor plan is divided into equal parts. Write the amount of space each section occupies as a fraction, a decimal and a percent.
56 Write 0.80 as a fraction and as a percent. 55% means 55 out of 10055/100 = 55% = .55Write as a fraction and as a percent.
57 Write each as a fraction or a decimal or as a percent. 0.4750/1000.769/10035/1000.920.4111/1000.736%74%2/100
59 Write each percent as a fraction and as a decimal. 4%81%49%97%6%18%39%54%22%
60 Could the floor space in a department store be divided this way: Women’s clothing 45%, Children’s clothing 25%, Men’s clothing 30%, and Checkout 15%?
61 Vicky is helping her mother prepare 10 vases of flowers for a wedding reception. Each vase will contain 3roses and 8 carnations. How manyof each type of flower will be needed?
62 Tyson’s art club has 100 members. The teacher assigned groups of studentsto work in different mediums.The grid shows the members in each group.What percent is in each group?ClayOilCharcoalPaper
63 the rest of the grid green. What percent of the grid is Zachary colors 38/100 of a100 grid purple. He colorsthe rest of the grid green.What percent of the grid isshaded green?
64 Wanda surveyed 100 students in our school Wanda surveyed students in our school. She found that 62/100 of the students plan to go to summer camp this year. What percent of the student don’t plan on attending summer camp?
65 A carrousel takes 2 minutes to make a complete turn A carrousel takes 2 minutes to make a complete turn. Troy gets on and rides without stopping for the next 12 minutes. How many times will he have returned to the starting point when the ride stops?
66 The Fish and Wildlife Research Institute in Florida is helping with the recoveryof Kemp’s Ridley Sea Turtles.How many more turtles in than in 1968? _____Did the population increase or decrease between 1991and 2000? ___ Amount of increase or decrease? ___Were there more or fewer in than in 1991? ____How many more or fewer? ____Kemp’s Ridley Sea TurtlesYEARFEMALES NESTING194740,00019685,000199120020006,000
67 Which is taller: the trumpetweed or the giant ironweed? _____ HEIGHTS of NATIVE FLORIDA WILDFLOWERSGIANT IRONWEED7 FEETLIZARD TAIL1 FOOTTRUMPETWEED6 FEETLADY LUPINE1.5 FEETTURK’S CAP LILY9 FEETWhich is taller: the trumpetweed or thegiant ironweed? _____Which is shorter: the lizard tail or thelady lupine? _______Order the wildflowers from tallest to shortest. _______________________________________Write the height of the lady lupine as amixed number. ______
68 Mrs. Wall is planting 7 rows of flowers Mrs. Wall is planting 7 rows of flowers. She planted 10 flowers in the first row, 8 flowers in the second row, and 6 flowers in the third row. If she continues this pattern, how many flowers will be in the fifth row?
69 There are 4 rabbits named Lenny, Emma, Beau, and Blossom There are 4 rabbits named Lenny, Emma, Beau, and Blossom. One is orange, one is gray, one is black, and one is spotted. Emma is orange. Beau is not gray. Blossom is spotted. What color is Lenny?
70 Mary, Kristin, Deborah, and Amy met on vacation Mary, Kristin, Deborah, and Amy met on vacation. They are from New York, Georgia, Nevada, and Maine. Amy is from New York, and Kristin is not from Georgia. If Deborah is from Nevada, where is Mary from?
71 Can you draw a chart to answer the question? There are 5 people in the Roberts family: Harry, Barb, Roger, Laurie, and Carrie. Their ages are 37, 36, 13, 10, and 5. Barb is the oldest and Carrie is the youngest. Laurie is Harry is not He is older than Roger. How old is Roger?Can you draw a chart to answer the question?
72 Six dancers want to form a triangle so that the same number of dancers is on each side.How should they stand?Draw a picture to solve.
73 Wendy, Carl, Lauren, and Juan live on four different streets: Highland, East,Brook, and Oak. Wendy lives onHighland, Lauren lives on Oak. Carldoes not live on East. What streetdoes Juan live on?
74 Scott and his friends are playing volleyball Scott and his friends are playing volleyball. They made a total of 6 teams. If there are 4 players on each team, how many people are playing volleyball?4
75 Weddell, von Bellingshausen, Cook, Palmer, and Wilkes each explored Antarctica. Two were British, and one was Russian. Weddell was from the came country as Cook. The other two were from the United States. Palmer and Wilkes were from the same country. Cook was British. Which country was von Bellingshausen from?
76 Vicky has a bag with 6 blue marbles, 4 red marbles, 7 green marbles, and 8 yellow marbles.What fraction in simplest formrepresents the marbles that areblue or red?
77 l l l l l l l l l l Reggie’s frog leaped 2.48 feet on its first leap. What point on thenumber line best represents thepoint where the frog landed?W X Y Zl l l l l l l l l l
79 Write a decimal, fraction, and a percent to represent the shaded part of this 100 grid.
80 9 = ___ x ___ = ____ 15 = x = Tamara has 15 sports movies. Nine out of the 15, or 9/15 of hermovies are about soccer. Whatdecimal represents 9/15?9 = ___ x ___ = ____15 = x =
81 What is another way to write 3.78? Fraction =Percent =Mixed Number =
82 Which number is best represented by Point Y on the number line? l l l l l l l l
83 decimal and as a fraction? How is 35% written as adecimal and as a fraction?
84 Which fraction and decimal is represented in this model?
85 What fraction and decimal are best represented by Point M on the number line? / / /10l l l l l l lM
86 What fraction is best represented by Point Q on the number line? l l l l l l
87 Barb, Grace, John, and Eva all attend Oaks Academy Barb, Grace, John, and Eva all attend Oaks Academy. They each get to school a different way. They come by bus, walking, bike, or in a car. Barb walks to school. Grace does not come in a car. If John rides the bus, how does Eva get to school?