Addition with Three-Digit NumbXexrxsWe can use models to help us add. H T OJack has 253 marbles in his collection.Jane has 142 marbles in her collection. How many marbles do 3 9 5 they have in all? 253 + 142 = 395Add. 1. Hundreds Tens Ones Tens Ones + Hundreds Hundreds Tens Ones 2. Hundreds Tens OnesChapter 6 Lesson 1 2.NBT.1.a Tens Ones + Hundreds Hundreds Tens Ones 43
Add. Hundreds Tens Ones 1. Tens Ones + 2. Hundreds 3. Hundreds Tens Ones 4. 44 Hundreds Tens Ones Tens Ones + Hundreds Hundreds Tens Ones Hundreds Tens Ones Tens Ones + Hundreds Hundreds Tens Ones Hundreds Tens Ones Tens Ones + Hundreds Hundreds Tens Ones
Draw more to add. Write the sum. Drawing to Add1. H T O H TO 351 TO +1 3 7 4882. H T O H 235 +2 1 43. H T O H T O 304+ 344. H T O H T O 426+1 2 3Chapter 8 Lesson 2 2.NBT.1 45
Make a simple math drawing to add. Write the sum.1. H T O HT O 432 +2 4 32. H T O HTO 250 +2 1 6Add. 4. H T O 5. H T O3. H T O 657 589 +3 4 2 +4 1 0 341 +2 0 5Let’s Review! Add. 8. 9.6. 7. 52 68 +29 +27 46 37 +38 +2646
3-Digit Addition: Regrouping Ones H TO 1. Add the ones. When the ones form 1 a new ten, fill in the 328 new ten. +1 4 7 2. A dd the tens (including the new ten). 475 3. A dd the hundreds.Circle the ones that form a new ten. Draw the new ten. Add.1. H T O 143 +72. H T O 328 + 34Chapter 6 Lesson 3 2.NBT.7 3-Digit Addition; Regrouping Ones 47
Circle the ones that form a new ten. Draw the new ten. Add.1. H T O 225 +82. H T O 139 +1 4 5Add. Regroup if necessary.3. H T O 4. H TO 5. H T O 146 237 558+ 38 +2 0 3 +4 3 7Make a simple drawing to help you add. Solve. 6. Zach has 217 marbles in a jar. He gets another 104 marbles. How many marbles does Zach have now? H TO + Zach has marbles.48
Adding Tens; Sums Above 100When the sum has 10 or more tens, regroup 10 tens as 1 hundred.70 + 50 1 hundreds H TO 7 tens 1+ 5 tens 70 + 501 2 tens = 12 0 2 tens 0 onesFill in the blanks to solve. Circle the tens that form a new hundred. Drawthe new hundred. Use the box to fill in the new hundred. Write the sum.1. 90 + 30 H TO tens 90+ tens + 30 tens = hundreds tens ones2. 70 + 60 H TO tens 70+ tens + 60 tens = hundreds tens onesChapter 6 Lesson 4 2.NBT.1 49
Fill in the blanks to solve. Circle the tens that form a new hundred. Drawthe new hundred. Use the box to fill in the new hundred. Write the sum.1. 80 + 80 H TO tens 80 + tens + 80 tens = hundreds tens ones2. 60 + 80 H TO tens 60 + tens + 80 tens = hundreds tens ones3. 90 + 70 H TO tens + tens 90 + 70 tens = hundreds tens onesAdd. Regroup if necessary. H TO 6. H T O4. H T O 5. 60 + 60 90 80 + 80 + 7050
3-Digit Addition: Regrouping Tens H TO 1. Add the ones. 2. A dd the tens. When 1 the tens form a new 28 0 hundred, fill in the+ 60 new hundred. 3. A dd the hundreds 34 0 (including the new hundred).Circle the tens that form a new hundred. Draw the new hundred. Add. 1. H T O 36 0 + 40 2. H T O 48 5 +3 6 0Chapter 6 Lesson 5 2.NBT.6 51
Circle the tens that form a new hundred. Draw the new hundred. Add.1. H T O 262 +1 5 42. H T O 374 +2 5 1Add. Regroup if necessary.3. H T O 4. H TO 5. H T O 272 352 5 83+1 6 4 +2 5 5 +3 5 5Make a simple drawing to help you add. Solve. 6. Rachel has read 180 pages. There are another 50 pages in her book. How many pages does Rachel’s book have in all? H TO + Rachel’s book has pages.52
3-Digit Addition; Regrouping Tens and Ones H TO 1. Add the ones. When the ones form a new ten, fill 11 in the new ten. 257 2. A dd the tens When the+1 6 4 tens form a new hundred, fill in the new hundred. 421 3. A dd the hundreds (including the new hundred).Circle the ones that form a new ten. Draw the new ten. Circle the tensthat form a new hundred. Draw the new hundred. Add.1. H TO 37 6 +2 3 7 2. 53 H TO 28 5 +1 5 5Chapter 6 Lesson 6 2.NBT.7
Circle the ones that form a new ten. Draw the new ten.Circle the tens that form a new hundred. Draw the new hundred. Add.1. H T O 17 7 +1 4 62. H T O 48 6 +1 6 43. H T O 35 9 +2 5 3Add. Regroup if necessary. H TO 6. H T O4. H T O 5. 49 5 54 8 67 3 +2 8 7 +3 9 8 +1 4 954
Practice: 3-Digit AdditionAdd. Use the models to help. 1. H T O 1 35 7 +2 3 6 59 3 2. H TO 34 3 +2 2 4 3. H TO 24 6 +1 3 6 4. H TO 25 9 +2 5 3Chapter 6 Lesson 7 2.NBT.7 55
Add. Use the models to help.1. H TO 24 4 +2 3 72. H TO 16 7+1 5 5Add. Regroup if necessary.3. 4. 5. H TO H TO H TO 33 4 38 6 42 7+1 5 3 +2 5 4 +3 2 5Make a simple drawing to help you add. Solve. 6. Ms. Lewis drove 76 miles last week. She drove 46 miles this week. How many miles has Ms. Lewis driven in all? H TO + Ms. Lewis has driven miles.56
Adding Four 2-Digit NumbersAdd 36 + 75 + 42 + 54. You can add in any order. Here is one way.Find two addends A dd the other Add the two sums.with ones that make two addends.a ten , and add them.The 6 in 36 and the 4 in54 together make a 10. H TO H TO H TO 1 1 1 36 75 117+ 54 + 42 + 90 90 11 7 207First find the sum of two addends. Then add the rest.You can add in any order.1. 63 + 28 + 77 + 41H TO H TO H TO 63 + ++2. 54 + 37 + 25 + 66 H TO H TO H TO + + 54 + 57Chapter 6 Lesson 8 2.NBT.6
First find the sum of two addends. Then add the rest.You can add in any order. 1. 84 + 38 + 65 + 46 H TO H TO H TO +++2. 71 + 35 + 55 + 64 H TO H TO H TO ++ +3. Add to find the value of 4 quarters.25 + 25 + 25 + 25 H TO H TO H TO +++LET’S WRITE!Look at exercise 2. Which two addends did you add first? Explain why.58
Subtraction with Three-Digit NumbersWe can use models to help us subtract.Dan has 338 tickets H T O in his bin.He gives 214 tickets to his sister. How many tickets 12 4does Dan have left? 338 – 214 = 124Cross off to subtract. Write the difference. 2. H TO 47 6 –1 3 2 3. 59 H TO 34 8 –1 1 5Chapter 6 Lesson 9 2.NTB.7
Cross off to subtract. Write the difference. 1. H T O 45 6 –2 2 4 2. H T O 38 7 –1 3 23. H T O 56 6 –2 1 3 4. H T O 47 5 –2 3 5 5. H T O 34 7 –2 3 360
Drawing to SubtractMake a simple math drawing to subtract. Write the difference.1. H T O HT O 37 4–2 1 31612. H T O HTO 54 2 –2 3 03. H T O HTO 46 8 –2 0 4Chapter 6 Lesson 10 2.NBT.7 61
Make a simple math drawing to subtract. Write the difference.1. H T O HTO 44 5 –2 0 52. H T O HTO 28 7 –2 0 4Subtract. 4. H T O 5. H TO3. H T O 54 6 45 3 36 9 –2 1 1 –2 2 1 –1 4 2 9.Let’s Review! Subtract. 626. 3 7. 8. –28 41 6 53 80 –19 –3 5 –33 2762
3-Digit Subtraction: Regrouping Tens H TO 1. S ubtract the ones. When there are not enough ones 3 to subtract, we regroup a ten as 10 ones to form a teen number. 3 4 16–1 2 9 2. S ubtract the tens. 3. S ubtract the hundreds. 217Regroup a ten as 10 ones to form a teen number. Draw the new ones.Write the new numbers. Cross off to subtract. Write the difference. 1. H T O 44 2 –2 1 9 2. H T O 46 4 –1 2 6 3. H T O 63 35 1 –2 1 4Chapter 6 Lesson 11 2.NBT.7
Regroup a ten as 10 ones to form a teen number. Draw the new ones. Writethe new numbers. Cross off to subtract. Write the difference. 1. H T O 43 6 –1 2 82. H TO 36 3 – 49Subtract. Regroup if necessary. 5. H TO3. H T O 4. H T O 45 5 97 2 68 0 –2 3 6 –5 2 8 –4 2 3Make a simple drawing to help you subtract. Solve. 6. Jasmine’s book is 342 pages. She has read 126 pages. How many pages does Jasmine have left to read? H TO – Jasmine has pages left to read.64
Subtracting from 100When we need to subtract tens, and we have only hundreds, we regroup 1 hundred as 10 tens. 100 – 40 H TO 10 tens– 4 tens 1 10 0 6 tens – 40 60Fill in the blanks to solve. Regroup 1 hundred as 10 tens. Draw the newtens. Write the new numbers. Cross off to subtract. Write the difference.1. 100 – 20 H TO tens 10 0 – tens – 202. 100 – 50 H TO tens 10 0 – tens – 50 tens3. H TO 100 – 70 10 0 tens – 70 – tens tensChapter 6 Lesson 12 2.NBT.5 65
Fill in the blanks to solve. Regroup 1 hundred as 10 tens. Draw the newtens. Write the new numbers. Cross off to subtract. Write the difference.1. 100 – 60 H TO tens 10 0 – tens – 60 tens2. 100 – 80 H TO tens 10 0 – tens – 80 tens3. 100 – 30 H TO tens 10 0 – tens – 30 tensSubtract. Regroup if necessary.4. H T O 5. H T O 6. H T O 10 0 10 0 10 0 – 90 – 40 – 10Let’s Review! Subtract.7. 8. 9. 10. 56 74 90 77 –2 8 –4 9 –2 4 –3966
3-Digit Subtraction: Regrouping Hundreds H TO 1. Subtract the ones. 2. S ubtract the tens. 2 When we do not have enough 3 12 7 tens to subtract, we regroup–15 2 1 hundred as 10 tens. 3. S ubtract the hundreds. 175Regroup, draw, and cross off to subtract. Write the difference. 67 1. H T O 42 5 –16 2 2. H T O 44 8 –26 3 3. H T O 35 9 –18 3Chapter 6 Lesson 13 2.NBT.2
Regroup, draw, and cross off to subtract. Write the difference. 1. H T O 36 7 –19 42. H T O 45 6–19 2Subtract. Regroup if necessary.3. H T O 4. H T O 5. H T O 41 5 68 9 77 5–17 1 –29 4 –39 4Make a simple drawing to help you subtract. Solve. 6. Lynn’s family has to drive 225 miles to visit their family. They have driven 184 miles already. How many more miles do they have left to drive? H TO – They have miles left to drive.68
3-Digit Subtraction: Regrouping Tens and Hundreds H TO Sometimes we need to regroup twice. 1. S ubtract the ones. 2 11 When there are not enough ones to 3 2 15 subtract, we regroup a ten as 10 ones–13 7 to form a teen number. 2. Subtract the tens. 18 8 When we do not have enough tens to subtract, we regroup 1 hundred as 10 tens. 3. Subtract the hundreds.Regroup, draw, and cross off to subtract. Write the difference. 69 1. H TO 33 7 –16 8 2. H TO 43 4 –17 7Chapter 5 Lesson 14 2.NBT.2
Regroup, draw, and cross off to subtract. Write the difference.1. H TO 41 7 –28 92. H TO 34 3 –16 83. H TO 45 0 –27 44. H TO 36 2 –28 870
3-Digit Subtraction: Regrouping with 0 in the Tens Place H TO Sometimes we need to regroup twice. 1. S ubtract the ones. 29 When there are not enough ones to subtract, 3 10 17 and there are no tens to regroup, we need–16 8 two steps: First, regroup 1 hundred as 10 tens. 139 Then, regroup a ten as 10 ones to form a teen number. 2. S ubtract the tens. 3. S ubtract the hundreds.first secondRegroup, draw and cross off to subtract. Write the difference.1. H T O 30 5 –15 92. H T O 40 2 –24 3Chapter 6 Lesson 15 2.NBT.2 71
Regroup, draw, and cross off to subtract. Write the difference. 1. H TO 40 0 –24 22. H TO 30 4 –15 83. H TO 40 6 –12 9Subtract. Regroup if necessary. H TO 6. 4. 5. H TO H TO 70 0 –22 3 30 1 60 2 –21 2 –35 972
Practice: 3-Digit SubtractionRegroup, draw, and cross off to subtract. Write the difference. 1. H TO 45 6 –23 22. H TO 37 4 –13 63. H TO 32 2 –17 9 4. 73 H TO 40 6 – 69Chapter 6 Lesson 16 2.NBT.7
Regroup, draw, and cross off to subtract. Write the difference. 1. H T O 34 0 –24 7 2. H TO 50 0 –24 2Make a simple drawing to help you subtract. Solve. 3. Mr. Cooper received 304 orders last week. He shipped 168 of the orders. How many orders does Mr. Cooper still need to ship? H TO– Mr. Cooper needs to ship more orders.LET’S WRITE!How did you solve exercise 3?____________________________________________________________________________________________________________________________________________________________________________________________________________________________________74
End-of-Chapter ReviewAdd. Regroup if necessary. You can use the models to help.1. H T O 23 8 +22 7Add. Regroup if necessary.2. H T O 3. H TO 4. H T O 26 4 45 7 32 6+ 15 3 + 45 7 +15 4First find the sum of two addends. Add the rest. You can add in any order.5. H TO H TO H TO 63 + 54 + 38 + 47 ++ +LET’S WRITE!How many ones are in the answer to exercise 4? Explain why.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________Chapter 6 Lesson 17 75
Subtract. Regroup, if necessary. You can use the models to help.1. H T O 35 0 –12 62. H T O 44 1 –27 0Subtract. Regroup, if necessary.3. H T O 4. H T O 5. H T O 99 3 86 7 60 5–48 5 –52 3 – 87Make a simple drawing to help you subtract. Solve. 6. Mr. Baylor is mailing invitations to all his friends. He wants to send 250 invitations. He’s already mailed out 180 invitations. How many invitations does Mr. Baylor still have to send? H TO – Mr. Baylor has to send ____ more invitations.76
Cumulative ReviewComplete the number line. Fill in the sum.1. 57 + 40 = 40 572. 68 + 32 = +32 30 683. 38 + 33 = +33 30 38Complete the number line. Write the difference. –54. 57 – 5 = 3 575. 20 – 4 = 4 20Write a number sentence and solve. Use a for the unknown number.6. Jeremy has 60¢. He buys a Step 1. snack for 20¢. Write the number sentence.Later, his mother gives him Step 2.a quarter as a prize. Solve.How much money doesJeremy have now?Jeremy has ____¢ now.Chapter 6 Lesson 18 77
Write the number in expanded form.1. 485 = 2. 709 =Compare. Write >, <, or =.3. 4. 5. 906 769 804 431 429 903Write the numbers that come just before and after.6. 7. 8. , 510, , 490, , 800,Write the number that is 100 more and 100 less.9. 10. 11., 728, , 193, , 802,Write the number that is 10 more and 10 less.12. 13. 14 . , 194, , 302, , 719,Count by fives. Fill in the numbers.15. 485,490,495, , ,Write the amount of money. Show the amount in a different way.16. ¢78
XxxXxx CHAPTER7 MeasurementChapter 4 Lesson 2.0A.1 Xxx. 79
Xxx.80
Measure in IncXhxexs We can use a ruler to measure the length of an object.The numbers on the ruler represent inches.Each number is 1 inch away from the number next to it.An inch ruler can measure lengths up to 12 inches.To use a ruler, line up the left end of the object with the left edge ofthe ruler. Read the number that lines up with the right end of the object.That is the length in inches.The length of this marker is 4 inches.Use a ruler to measure the length of these objects to the nearest inch. 1. inches2. inches3. inchesChapter 7 Lesson 1 81
Use a ruler to measure the length of these objects. inches 1. 2. inches inches 3. inches 4.Draw a line to the length that is given. 5. 5 inches6. 3 inches82
Estimate in Inches We can use objects to estimate length. An estimate is close to an exact answer.A paper clip is about 1 inch long. This pencil is about 5 inches long.Use a paper clip to estimate the length of each object.Then use a ruler to measure each object.1. estimate: inches actual: inches2. estimate: inches actual: inches 3. estimate: inchesChapter 7 Lesson 2 actual: inches 83
Use a paper clip to estimate the length of each object.1. Circle the piece of chalk that is about 8 inches long.2. Circle the arrow that is about 4 inches long.3. Circle the ribbon that is about 6 inches long.4. Draw a line from point A to point B. About how long is the line? A B inches84 about
Measure in Feet and YardsWe can measure lengths up to 12 inches, or 1 foot, using a ruler.1 foot = 12 inches.For lengths up to 3 feet, or 1 yard, we can use a yardstick.A yardstick is 3 feet long. 1 yard = 3 feet.For lengths greater than 3 feet, we can use a tape measure.A tape measure is sometimes easier to use than a yardstick.It also takes up much less space.Measure these objects in your classroom.1. 2. about feet 3.about feet about feet 85Chapter 7 Lesson 3
Measure these objects in your classroom. 3.1. 2.bookshelf book bulletin board feet feet feetSolve the story problem.4 . Laura has 46 inches of ribbon to use for gift wrapping. She uses 18 inches on her first gift.How many inches of ribbondoes she have left?She has inches of ribbonleft.LET’S WRITE!A poster is 1 yard long. What is the length of the poster in feet?Explain your answer.___________________________________________________________________________________________________________________________________________________________________________86
Estimate in Feet We can use benchmarks to estimate longer lengths.For example, the unit foot got its name from a person’s foot.So, a person’s foot is about 1 foot long. A person’s foot can be used asa benchmark for 1 foot.This book is also about 1 foot long from topto bottom. This book can also be used as abenchmark for 1 foot.Benchmarks may not be exact, but they willbe close. You can use rulers, yardsticks, or tapemeasures to get a closer measure.Estimate the measure of each object. Then use a tape measureto get an exact measure.1. 2. estimate: feet estimate: feet feet actual: feet actual: 873. Which is the best estimate for the length of a classroom? Circle the answer.6 feet 10 feet 20 feetChapter 7 Lesson 4
Circle the real-life object that matches the estimate of the length.1. 6 feet2. 3 feet3. Circle the real-life objects that are about 1 foot long. Solve the story problem.4. Ken started building a fence on Monday. He used 23 feet of fencing on Monday, and he used another 19 feet of fencing on Tuesday.How many feet of fencing did he use altogether?Ken used feet of fencing altogether.88
Measure in Two WaysWe can use different units to measure length. 24 inches = 2 feetBecause 12 inches = 1 foot, 24 inches = 2 feet.Measure each real-life object in two ways.1. 2. feet feet inches inches3. 4.feet feetinches inchesLET’S WRITE!A sub sandwich is 1 foot long. What is the length of thesub sandwich in inches? Explain your answer.___________________________________________________________________________________________________________________________________________________________________________Chapter 7 Lesson 5 Regrouping with Dot Cards 89
Circle the tool that would be best to measure the length. 1. 2. ruler ruleryardstick yardsticktape measure tape measure3. 4.ruler ruleryardstick yardsticktape measure tape measureLET’S WRITE!Describe when you would use a ruler and when you would usea yardstick?__________________________________________________________________________________________________________________90
Measure in Centimeters We can use a centimeter ruler to measure the length of an object in centimeters.The numbers on the centimeter ruler represent centimeters.Each number is 1 centimeter away from the number next to it.To measure an object in centimeters, line up the left end of the objectyou want to measure with the left edge of the centimeter ruler. Readthe number that lines up with the right end of the object. That is thelength in centimeters. The length of this pen is 11 centimetersUse a ruler to measure the length of these objects to thenearest centimeter.1. centimeters2. centimeters3. centimetersChapter 7 Lesson 6 91
Use a centimeter ruler to measure the length of each object.1. centimeters2. centimeters3. centimeters4. centimetersDraw a line to the length that is given.5. 12 centimeters6. 7 centimeters 92
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