Place Value Through Billions R - Quia
NamePlace Value Through BillionsR 1-1Pluto is the ninth planet in our solar system. It orbits the sun at an averagedistance of 3,666,370,000 miles.Ones3,666,370,00esThousandsonMillionshubil ndreliodtennsbillionsbillionshumi ndrellio dten nsmillionsmillionshutho ndreus dten andsthousatho ndsusandshundre dstensBillions0Note that the 0 in the thousands, hundreds, tens, and ones places holdsthe place for these numbers. Its value is zero.Write each number in the place value chart. Then give the value of the underlined digit.OnesesThousandsonMillionshubil ndreliodtennsbillionsbillionshumi ndrellio dten nsmillionsmillionshutho ndreus dten andsthousatho ndsusandshundredstensBillions1. 4,510,773,00045107730002. 2,405,9863. 35,110,297,4204. 1,256,000,398 Scott Foresman, Gr. 5(1)Use with Chapter 1, Lesson 1.
NamePlace Value Through BillionsH 1-1Write the value of each underlined digit.1.526,3312.62,989,1003.909,781,425Give the value of the digit 7 in each number.4.213,784,219,9065. 6,579,002,495Write each number in expanded form.6. 32,1207.960,3228.44,6509.7,368,911Write each number in standard form.10.What is the greatest number you can make using all of the digits from0 through 9 exactly once?11.What is the least number you can make using all of the digits from0 through 9 exactly once?Test Prep Circle the correct letter for each answer.12. 7,000,000 is read13. In 324,781, the value of 3 isA 7 thousandF 3 thousandB 7 millionG 3 hundredC 7 hundredH 3 hundred thousandD 70 millionJ 30 thousand Scott Foresman, Gr. 5(2)Use with Chapter 1, Lesson 1.
NameProblem-Solving SkillR 1-2Exact and Estimated DataExact data will show an amount that can be counted, even if it is difficult to count.Estimated data are numbers that have been rounded or that represent numbersthat cannot be measured or counted.Here are some examples of exact and estimated data.Exact dataLast year, Jim saw 2 comets.Estimated dataThe Sun is about 93,000,000miles from Earth.Apollo 13 was launched in 1970.After the Sun, the nearest staris about 4 light-years away.Many of the 88 constellations were named by the ancient Greeks and Romansafter characters from mythology. One ancient Greek tale gave us the namesfor 5 constellations: Perseus, Andromeda, Pegasus, Cassiopeia, and Cepheus.Within the star group Andromeda, you can see an entire galaxy of stars, theAndromeda Nebula. This galaxy is about 2 million light-years away from Earth.It is the most distant object you can see without binoculars or a telescope.Work with a partner to solve.1. How many constellations’ names came from a single ancient Greek tale?2. Is this number an exact number or an estimate? Explain your answer.3. Give an example of another exact number from the reading above.4. Is about 2 million light-years an exact number or an estimated number? Explain.5. Is the number of stars in an entire galaxy an estimated or an exact number? Explain. Scott Foresman, Gr. 5(4)Use with Chapter 1, Lesson 2.
NameProblem-Solving SkillH 1-2Exact and Estimated DataFor exercises 1–3, circle the correct letter of the answer.Some scientists believe the solar system may hold an undiscovered 10th planet—Planet X.They estimate that the planet would have a mass of 2 to 5 times that of Earth. It wouldhave to orbit between about 4.65 billion and 9.3 billion miles from the sun.1. Which of these numbers is exact?a. 10th planetb. 4.65 billion milesc. 9.3 billion miles2. Pluto orbits about 3.66 billion miles from the sun.If Planet X exists, about how close might it come to Pluto?a. exactly 1 billion milesb. about 1 billion milesc. much more than 1 billion miles3. Where are astronomers searching for Planet X?a. at an orbit 4.65 billion miles from the sunb. at an orbit 9.3 billion miles from the sunc. in an orbit ranging from 4.65 billion to 9.3 billion miles from the sunThe distances between the sun and the planets are greater than most people realize.For instance, Pluto is about 3.66 billion miles from the sun. This means that if youmade a model of Pluto that was the size of a quarter, the model of the sun wouldneed to be 38 feet wide and placed about 31 miles away.4. Which of the numbers above are estimates? Explain how you know.5. If you also made a coin-sized model of Planet X, and you used the model of the sunthat is 38 feet wide, how far from Planet X would you need to place the sun?a. less than 31 miles awayb. exactly 31 miles awayc. more than 31 miles away6. Give an example of an exact number from the reading above? Scott Foresman, Gr. 5(5)Use with Chapter 1, Lesson 2.
NamePlace Value Through ThousandthsR 1-3Comet Halley visits Earth about once every 76 years. Comet Brorsen visits Earthevery 5.463 years.You can read and write 5.463 and other decimals in word form.Standard FormWord FormShort Word Form5.463five and four hundred sixtythree thousandths5 and 463 thousandths5.46five and forty-six hundredths5 and 46 hundredths5.4five and four tenths5 and 4 tenthsTo write a decimal using words: Write the whole number part. Write and for the decimal point. Write the decimal part to the last place given.Show each number in the place-value chart or write the number in word form. The firstone is done for you.365 . 43sdthfour tenths7 . 00two and two hundred thirty-six thousandths.2usanthodretenthseshun12 . 2onstenhundredsdthsOnes9.forty-two and three hundred five thousandths6 . 8.four and twenty-three hundredths5 . 186 Scott Foresman, Gr. 5(7)Use with Chapter 1, Lesson 3.
NamePlace Value Through ThousandthsH 1-3Write each number in standard form.1. three and eighteen hundredths2. four and two hundred three thousandths3. thirty-eight thousandths4. one hundred seventy-seven thousandths5. three and twenty-four hundredths6. sixty and sixty-one thousandthsWrite the word name for each decimal.7. 7.458. 0.0619. 9.0410. 21.04611. 7.74312. 0.045Draw a line from the clue to the decimal.13. I have a 3 in my hundredths place. I am less than 1.1.73914. I am greater than 2. All of my digits are odd.0.13815. I am less than 2. I have a 9 in my thousandths place.1.23416. I am more than 1. My digits increase from left to right.3.513Test Prep Circle the correct letter for each answer.17. What is the value of the underlineddigit? 2.34818. What digit is in the thousandths place?1,432.789A hundredsC tensF 4H 2B tenthsD hundredthsG 9J 8 Scott Foresman, Gr. 5(8)Use with Chapter 1, Lesson 3.
NameComparing and Ordering Whole Numbersand DecimalsR 1-4The four brightest stars we can see are Sirius, Canopus, Proxima Centauri andAlpha Centauri. The distance to Sirius is 8.6 light years. It’s 98.0 light years toCanopus. Proxima Centauri is 4.24, and Alpha Centauri is 4.34 light years away.Which is farthest away? Compare the numbers.Step 1 Write theStep 2 Compare the digits Step 3 Continuenumbers so theyin the same place.comparing untilline up on theStart at the greatestthe digits differ.decimal point.place.ndtho redthsusandthsths8 . 68 . 68 . 69 8 . 09 8 . 09 8 . 0hutenndrten edssoneshuthshutenhundrten edssonesndtho redthsusandthsthshutenndrten edssoneshuOnesndtho redthsusandthsOnesOnes4 . 2 44 . 2 44 . 2 44 . 3 44 . 3 44 . 3 49 tens is thegreatest number.98.0 8.6 4.34 4.24Canopus is farthest away. Proxima Centauri is ; 5.111; 1,345.79;0.515Thousandshutho ndreus dten andsthousatho ndsusandshundredstensIn the place-value chart, write thenumbers in order from greatestto least. Scott Foresman, Gr. 5(10)Use with Chapter 1, Lesson 4.
NameComparing and Ordering Whole Numbersand DecimalsH 1-4Write the numbers in order from least to greatest.1. 2,000,000; 20,000,000; 12,000,0002. 723,219; 723,319; 7,323,1193. 44.882; 44.812; 44.8104. 87.59; 875.9; 8.7595. 76,844; 76,844.10; 76,844.1016. 4,513.91; 4,313.91; 4,531.9917. 1,335.803; 1,305.803; 1,305.8308. 73.121; 73.212; 73.2119. Each square contains a number from Exercises 1–8.Shade each squarethat contains the leastnumber in that exercise.The remaining squareswill spell out the nameof a planet witha 29-day 01U64,513.91R71,335.803N873.121HTest Prep Choose the correct letter for each answer.10. 1,216,506A! 216,506 Scott Foresman, Gr. 5B (11)C 11. 4.37F! 4.73 G H Use with Chapter 1, Lesson 4.
NameProblem-Solving StrategyR 1-5Draw a DiagramA dog is pulling a sled up a 25-foot hill. Itslides back 2 feet for every 9 feet it climbs.How many feet will the dog actually moveupward to reach the top of the hill?Understand What data doyou have? The hill is 25 feethigh. The dog slides back 2feet for every 9 feet it climbs.Plan You can make a diagram.Solve First: The dog climbs 9 feet, slides back 2 feet. It is 7 feet up the hill.Second: The dog climbs 9 feet, then slides back 2 feet, so it climbs another 7feet. Since 7 ! 7 " 14, the dog is now 14 feet up the hill.Third: The dog is now 21 feet up the hill, because 14 ! 7 " 21.Fourth: The dog climbs 4 feet and reaches the top, because 21 ! 4 " 25.But altogether, the dog climbs: 9 ft ! 9 ft ! 9 ft ! 4 ft " 31 ft.Look Back Does the diagram fit the facts?Draw a diagram to solve the problems.1. A frog jumps 6 hops forward, then 2 hops back. How many hops forward will it takehim to go 15 hops?a. After 6 hops forward, the frog travelsb. After 12 hops forward, the frog travelshops.!!!!!!!!hops.c. How many hops forward will it take the frog to go forward 15 hops?hops2. Alissa built a kaleidoscope from two tubes. One tube is twice as long as the other. Theshort tube extends out by 3 inches when 1 inch of it is fitted inside the long tube. Thefinished kaleidoscope is 11 inches long. How long is each tube? Scott Foresman, Gr. 5(13)Use with Chapter 1, Lesson 5.
NameProblem-Solving StrategyH 1-5Draw a DiagramDraw a diagram on a separate sheet of paper to solve each problem.1. In a dance, every time Nan takes 9 steps forward, she must take3 steps back. The other side of the stage is 22 steps away. Howmany steps will Nan actually take forward before she is in the offstage area?2. Matt built a kaleidoscope from two tubes. One tube is twice as long as theother. Half of the short tube is pushed inside the long tube. 4 cm of the short tubeextends out. The finished kaleidoscope is 20 cm long. How long is each tube?wide and 2!12! inches high. The editor wants to publishthem in rows across the page. Each page is 8!12! incheswide and 11 inches long. The photos should not toucheach other, and there should be about 1 inch of spaceat each edge of the page. How many photos can sheuse per row? Explain.! in.2!123. The school newspaper has photos that are 2 inches2 in.4. Two climbers are hiking up a 3,000-ft mountain. Each day they climb 1,000 ft and thencome down 250 ft to make camp. How many days will it take them to reach the top?5. If a rock climber slides down 2 ft every 13 feet she climbs, how many feet will sheactually climb to reach a height of 36 feet? Scott Foresman, Gr. 5(14)Use with Chapter 1, Lesson 5.
NameRounding Whole Numbers and DecimalsR 1-6Round 689 to the nearest hundred. Round 0.138 to the nearest tenth.(8 rounds up)(3 rounds down)6890.138!"!"!"!"To round up, increase theunderlined digit by 1. To rounddown, leave the underlined digitalone. If you are rounding awhole number, change all thedigits to the right of theunderlined digit to 0. If you arerounding a decimal, you do notneed to add zeros.0.138!"!"!"Step 3689!"Look at the digit to the right.Round up if it is 5, 6, 7, 8, or 9.Round down if it is 0, 1, 2, 3, or 4.0.138!"Step 2689!"Underline the digit of the place youare rounding to.!"Step 17000.1Write up if you should round up. Write down if you should round down. Then round eachnumber to the place named.Numberup or downnearest tenNumberdown4704. 0.3711. 4722. 39,8295. 6.1213. 15,2606. 0.546Numberup or downnearesthundredNumber7. 37110. 15.6138. 6,12111. 0.9399. 82,34512. 45.382 Scott Foresman, Gr. 5(16)up or downnearest tenthnearestup or down hundredthUse with Chapter 1, Lesson 6.
NameRounding Whole Numbers and DecimalsH 1-6Complete the cross-number puzzle. Place the decimal point in each answerin a square of its own. The first one is done for you.AcrossDownRound . . .Round . . .1. 25.863 to tenths2. 968,799 to hundreds4. 73.4135 to tenths3. 3,486.376 to hundredths7. 81,873 to tens5. 34.999 to tenths8. 46.111 to hundredths6. 40.599 to hundredths9. 6,407.556 to hundredths9. 62,594 to tens10. 50.089 to hundredths10. 5,316 to tens12. 93.47 to tenths11. 9,349 to hundreds13. 83,248 to hundreds125.23945678910121113Test Prep Choose the correct letter for each answer.14. Find 13 ! n if n " 1215. Find n if 17 ! 5 " 5 ! nA 25C 1F 5H 85B 13D 156G 12J 17 Scott Foresman, Gr. 5(17)Use with Chapter 1, Lesson 6.
NameVariables and TablesR 1-7The same rule is used with each number in Column A, and the corresponding resultis given in Column B. To find the rule, follow these steps.Step 1Step 2Look at the first pair of numbers.Decide how they are related.2!3 6Check this method for the next pair of numbers.3 ! 3 9, not 7Go back to the first pair.Find another way the numbers are related.2 4 6Check this for other pairs.3 4 75 4 96 4 10AB2637596101216The relationship is the same for all pairs so the rule is add 4.You can write this rule using a variable, n, to represent the numbers in Column A.The rule is n 4.Find the rule for each table. Write the rule in words and using a variable. Let the variablerepresent any number in Column 491133140AB2112624AB62131818530244034Write each rule using a variable.5. Add 12 to a number. Scott Foresman, Gr. 5(19)6. Divide a number by 6.7. Multiply a number by 7.Use with Chapter 1, Lesson 7.
NameVariables and TablesH 1-7Complete each table. Write the rule using words and using a variable. Let the variablerepresent any number in column A83729584AB1716AB241513 143122433415 1652445616 1764887017965.6.887921 231192918223 25338464Test Prep Choose the correct letter for each answer.7. Write the rule using a variable.Add 13 to a number.8. Write the rule using words.n & 12A n 13C n - 13F add 12H subtract 12B n # 13D n & 13G multiply by 12J divide by 12 Scott Foresman, Gr. 5(20)Use with Chapter 1, Lesson 7.
NameProblem-Solving ApplicationR 1-8Using Data from Tables and GraphsUnderstand You need to find thelength of time it took the class to collect25 pounds of recyclables.Plan Use the graph and your knowledgeof number order.Solve You know that 25 comes halfwaybetween 20 and 30. To find the timeneeded to collect 25 pounds on the graph,find the line between 20 and 30 on thevertical scale. Follow the dotted line to theright until it meets the heavy black line.Then, follow the dotted line down from thatpoint to the number of weeks at the bottom.The number of weeks is halfway between 2and 3. The class collected 25 pounds ofrecyclables in about 2!12! weeks.Look Back The answer is reasonablebecause the table shows that the class cancollect 20 pounds of recyclables in 2 weeksand 30 pounds of recyclables in 3 weeks.25 is halfway between 20 and 30 and2!12! weeks is halfway between 2 weeksand 3 weeks.Pounds of Recyclables Collected100908070605040302010Number of PoundsMarcy’s 5th grade class collected bottles andcans for their school’s recycling center. Theymade the graph at the right to show how manypounds of recyclable bottles and cans theycollected. How long did it take them to collect25 pounds of bottles and cans?01 2 3 4 5 6 7 8 9 10Number of WeeksNumber ofPounds ofRecyclablesNumber ofWeeks10120230340450560670780890910010Use the graph to solve the problems.1.About how long does it take the class to collect 75 pounds of recyclables?2.About how many pounds does the class collect in 3 1/2 days? Scott Foresman, Gr. 5(22)Use with Chapter 1, Lesson 8.
NameProblem-Solving ApplicationH 1-8Using Data from Tables and GraphsWesley plans to ride in a fundraising bike-a-thon this spring. He drew a graph to show howfar he could bike in eight hours. The graph and the table show Wesley’s biking rate. Usethem to answer the questions below.Number ofHours302604908120Number of MilesNumber ofMiles90603002468Number of Hours1.To get in shape for the race, Wesley biked from 10:00 to noon. How many milesdid he travel?2.About how long will it take Wesley to bike 50 miles?3.During a pre-race trial, Wesley’s team biked for one hour. About how many milesdid they travel?4.Wesley’s sponsors have pledged to donate 10 a mile. How much money willWesley raise in 6 hours?5.How long will Wesley need to bike to raise over 1,000? Scott Foresman, Gr. 5(23)Use with Chapter 1, Lesson 8.
Note that the 0 in the thousands, hundreds, tens, and ones places holds the place for these numbers. Its value is zero. hundred billions ten hundred millions thousands thousands hundreds tens ones Billions Millions Thousands Ones 3, 6 6 6, 3 7 0, 0 0 0 Write each number in the place value chart. Then give the value of the underlined digit.
Meagan Mutchmor K-8 Mathematics Consultant Place Value . Place Value Activities Winnipeg School Division Numeracy Project 3 Some Thoughts on Place Value Place value understanding plays a key role in the primary grades. It is essential to have a strong foundation in place value in order to achieve success in making sense of .
Jun 02, 2020 · starts with ones, the next would be tens, and so on. Place Value System. Multiplicative Patterns on the Place Value Chart The place of a digit is 10 times bigger than the place value of the digit to its right. For example, the place . Hundreds 10 x Ones One thousands 10 x Hundreds Place Value
17. The following table shows the value B, in billions of dollars, of new construction put in place in the United States during year t. Determine over what period was the growth in value of new construction the greatest? a. 1995 to 1998 b. 1998 to 2001 c. 2001 to 2004 d. 1995 to 2004 t Year B Value (billions of dollars) 1995 617.9
Number of holdings 121 387 Market cap weighted median ( billions) 28.48 25.95 Market cap weighted average ( billions) 32.17 26.98 Market cap med ian ( billions) 27.15 14.10 Earnings per share growth - 5 yr 18.10 17.72 Earnings per share growth - 2 yr 14.83 13.73 Active share (%) 66.
Place Value Vocabulary Digit: numeral without value, 0-9 Place: position in a number (not the value) Value: the numeral value of a digit in a place The value of the digit 8 in the number 879 is 800. Understanding Place Value See how you do. Try these.
Compare Three-Digit Number Vocabulary Partner B Write ., ,, or 5 to compare the numbers. When I numbers, I always start with the place value. The greatest place value in 367 and 376 is the place. Both numbers have a 3 in the hundreds place. So I look at the tens place. The number 367 has in the tens place. The number 376 has in the tens place.
Place Value Counters Counters that can help you find the thousands, hundreds, tens and ones in a number. 100 10 1 5,347 has 5 thousands, 3 hundreds, 4 tens and 7 ones. 100 10 10 10 1 1 1 1 1 1 Place Value Chart A chart or grid to show the place value of digits. Thousands Hundreds Tens Ones 2 5 1 3
Accounting for the change in mobility 12 6. Conclusion 13 Notes 15 Tables 16 References 23 Appendices 26. Acknowledgments Jo Blanden is a Lecturer at the Department of Economics, University of Surrey and Research Associate at the Centre for Economic Performance and the Centre for the Economics of Education, London School of Economics. Paul Gregg is a Professor of Economics at the Department of .
