5 Lesson 3-1 Additional Practice Name Review You can use estimates to decide whether an answer is reasonable. You can estimate a sum or difference by rounding numbers, using compatible numbers, or thinking about a range. A park ranger records the sightings of different animals at the park. He sees 347 reptiles and 1,191 mammals within one week. About how many more mammals than reptiles did he see? Round to estimate. 1,190 — 350 = 840 Use compatible numbers to estimate. 1,200 — 350 = 850 Think about a range. Between 700 and 900. 41, Estimate. Then use a calculator to find the actual sum or difference. Estimate Actual Answer 749 +2,810 =? 4,968 — 354 =? 3,583 + 5,685 =? 14,632 — 10,766 ‘Student Practice Book 9A shipping company ships 934 small packages and 4,634 large packages. About how many packages does the company ship altogether? A grocery store sells 1163 bananas and 2,891 apples in a week. About how many more apples than bananas does the grocery store sell? A banker estimates the difference of $3,417 — $1,092 to be $2,330. Do you agree or disagree with the estimate? Explain Estimate the range that the sum of 2,195 and 985 will be in, Show your work. Arnold estimates 8,438 — 5,534 to be 2,910. Luetta estimates the difference to be 2,900. Can both estimates be correct? Explain: Math © tee 2bie shouldbe three to tive aigts long, Create word problems for your chil to solve that involve using the numbers inthe table fo estimate sums @HOME ans aitferonces. atiow him or her to use a calculator to determine i the Activity «stimates are reasonable, Student Practice Book 10Lesson 3-2 Additional Practice Name Review You can add multi-digit in different ways. Add 1,526 + 1,294, One way to add is using partial sums. Another way is to Add the-ones 6a4 19 Make adjustments. 1,526 + 1,294 Add the tens 20 +90 no Addthe hundreds 5004200 700 +4 —4 Add the thousands 1,000+1,000 2,000 1530 +1290 = 2,820 Add the partial sums. 2,820 1,526 + 1,294 = 2,820 Solve and show your work. 1, 547 +3,213 = 2. 11,372 + 6,284 = 3. 2,8654+1925=_ 4. 375 +6,242 = 5. 124,326 + 34,574 = Student Practice Book 1"6. An arcade had 1,933 visitors in March and 1,506 visitors in April. What is the total number of people that visited the arcade in March and April? 7. Aschool held a fundraiser and raised $11,214 last year. This year they raised $12,587. What is the total amount raised over these two years? eon nyt tre ted | 8. The local zoo has two elephants, one male and one female. The male elephant weights 15,117 pounds. The female elephant weighs 13,945 pounds. What is the combined weight of the elephants? —mMN Give your child 4 crayons, markers, or pencils that are diferent colors. Ask Math him or her to find the sum of 31,426 + 18,445 by using partial products. He or she should color code the partial products by place value sot is easy to see @HOME the vaiues. Repeat he activity with different adcition problems as long as Activity ie permis Student Practice Book 2Lesson 3-3 Additional Practice Name Review You can use an algorithm, or a set of steps, to add numbers. Find 3,451 + 1,317. 3,451 Add the ones digits first. 1+ 7=8 +1317 aos Then add the tens digits. 5+1=6 4,768 Add the hundreds next. 4+3=7 Add the thousands last. 3+1=4 : 4 N Solve. Show your work. 2,365 2. 5,617 + 423 + 372 7,408 4. 8,371 #1211 + 1,522 21,396 6. 33,544 + 5,401 + 2,135 26,496 8. 46,837 + 11,502 +22,141 Student Practice Book B9. A library donates 1124 new books and 571 movies to a school. How many items does the library donate? 10. Olivia has 2,130 songs on her computer and 742 songs on her phone. How many songs does she have in all? M1. A grocery store makes $12,571 in January. In February, the store makes $14,305. How much money does the store make in January and February? 12. Natalya walks 13,421 steps on Monday and 15,364 steps on Tuesday. Otelia walks 13,537 steps on Monday and 15,412 steps on Tuesday. Who walks the greater number of steps? Explain. <—m™N ‘Ask your child to state the order in which the cig in a multi-igit adion Marth S 22!em are ated, use everday situations o create addition problems that require no regrouping for your child to practice using the algorithm. For @HOME example, it you keep track of the number of calories consumed in a day. Activity «your chile find the catorie count for 2 meals Student Practice Book 4Lesson 3-4 Additional Practice Name Review You can add large numbers with an algorithm. You write the equation vertically and add the digits in the same place value. When the sum of the digits in one place is a 2-digit number, you need to regroup. Assmall company produces 12,458 pencils and 6,235 pens in one day. How many pencils and pens does the company produce in one day? a dss Add the ones. The sum of 8 ones and 5 ones is +6235 18 ones. You record the 3 of the 13 ones and 8603 regroup the ten. Add the tens. No regrouping is required. Add the hundreds. No regrouping is required. Add the thousands. No regrouping is required. Add the ten thousands. What is the sum? Show your work. 1. 1,642 2. 2,094 + 387 + 1,037 3. 5,947 4. 18,761 +4,506 +2,390 ‘Student Practice Book 65. 13,483 6. 19,798 + 14,918 + 10,403 7. = 26,917 8. 20,685 +_ 17,015 + 18,832 9. 29,731 10. 28,675 + 25,933 + 24,739 11. Alene scores 2,467 points during round 1 of a board game and 3,946 points during round 2. How many points does she score in all? 12. Delma’s work is shown below. How do you respond to her calculations? Explain. 131687 + 3,595 17,272 Have your child roll a number cube 10 times, recording the numbers in the Math following format, @Home + rounnx Activity Have him or her add the numbers using the algorithm for addition, Then check your child's work, Have your child repeat this activity a few times. Student Practice Book 16Lesson 3-5 Additional Practice Name Review You can subtract multi-digit numbers by decomposing the subtrahend and then subtract by place value. 7,855 — 3,420 =? Decompose the number: 3,420 = 3,000 + 400 + 20 Subtract: 7,855 — 3,000 = 4,855 4,855 — 400 = 4,455 4,455 — 20 = 4,435 7,855 — 3,420 = 4,435 Solve and show your work. 4. 2,985 — 1,270 = 2. 7,968 — 4,126 = 3. 5,438 — 3,215 = 4. 67,855 — 33,420 = Student Practice Book v75. Aschool bus driver drives 2,176 miles in December and 3,241 miles in January. How many more miles does the bus driver drive in January compared to December? Caldon School District has 12,064 students enrolled. There are 10,933 students enrolled in Dempsey School District. How many more students are enrolled in Caldon School District than in Dempsey School District? 7. Aschool sold 5,618 tickets to the first football game of the season There were 4,724 tickets sold to the second football game. How many more people attended the first football game? There were two students running for student body president. The first student received 3,217 votes. The second student received 2,987 votes. How many more votes did the first candidate receive? Using the internet or a newspaper, find the prices of different cars, trucks, or ‘SUVs. Have your child find the difference between the prices of 2 vehicles using decomposing or adjustments. Have him or her explain how they find the difference, Student Practice Book 8Lesson 3-6 Additional Practice Name Review You can use an algorithm to subtract multi-digit numbers. First, write the equation vertically and then subtract like units in each place-value position, starting with the ones place. A theme park sells 4,572 adult tickets and 2,350 child tickets in one week. How many more adult tickets than child tickets sold? 4,572 Subtract the ones digits. = 2,350 Soa Subtract the tens digits. Subtract the hundreds digits. Subtract the thousands digits So, 2,222 more adult tickets were sold. Solve using an algorithm. 1 3. 5. 1,961 2. 3,598 - 510 —2,485 5,733 4. 8,649 — 3,213 — 5,407 19,789 6. 24,087 — 5,364 — 13,055 Student Practice Book 9= 31,875, 8. 42,769 — 1,744 — 21,254 9. 55,980 10. 61,936 — 34/560 = 21,721 41. Renetta buys a laptop that costs $1,230, She has $2,350 to spend 12. 13. How much money does she have left? Ariana walks 5,798 feet and runs 3,634 feet. How many more feet does she walk? Company A makes $12,560 a month. After donating some money to an animal shelter, they have $11,430 left. Company B makes $13,679 a month. After donating some money to a food pantry, they have $12,552 left. Which company donates more money? Explain your reasoning, —™N Provide opportunites for your child to subtract using the algorithm by Math creating word problems based on everyday situations. These subtraction problems should not require regrouping. While your child works on one @HOME _ pr00K0m, work on another problem and make a mistake. Ask your chil to Activity ‘ently ang roctne mistake Student Practice Book 20Lesson 3-7 Additional Practice Name Review . #54 — 28,921 27,813 You can use an algorithm for subtracting multi-digit numbers with regrouping. First write the equation vertically and then subtract the digits in the same place value. Find 56,734 — 28,921. Subtract the ones digits. Subtract the tens digits. Regroup to subtract the hundreds digits. Regroup to subtract the thousands digits. Subtract the ten thousands digits. 4. 2,461 - 397 3. 7.910 4761 5. 20,955 = 18,293 Solve using an algorithm. 2. 3,309 — 1.857 4. 18,847 — 6,995 6. 26,008 — 14,350 Student Practice Book a7. 31,701 8. 43,998 — 19,568 —25,479 9. 61,597 10. 80,645 — 24,600 — 32,470 11. Sonny has 2,265 trading cards. His organizer holds 1,575 cards. How many cards will not fit in the organizer? 12. Florence has 7,615 black and white photos and 3,978 color photos. How many more black and white photos does she have? 13. Setsuko's work is shown at the right. What did he do wrong? What is the correct answer? 54,392 — 38,576 24,224 Marth Seas to determine now many times he or she thinks will be necessary to regroup in each problem. Then have him or her show you how to solve @HOME each prodiem. contexts that can be used for problems can be distances in Activity ‘cto mites, points in games, or money. ‘Student Practice Book 22 i a : i i i : ; i i ; i i | i | iLesson 3-8 Additional Practice Name Review You can use a bar diagram and an equation with a variable to represent and solve a multi-step problem. The zoo had students visiting during the first three days in May. On the first day 2,915 students visited. On the second day 412 fewer students visited. Attendance records showed 175 fewer students \isited on the third day than the second day. How many total students visited over those three days? Step 1: First day 2015 s = 2,915 — 412 Second day $ _.atg.-] 8 = 2,503 Step 2: Second day 2,503 2,503 — 175 Third day v5 ' 2,328 Step 3: e a=2,915 + 2,503 + 2,328 2,915 | 2,503 | 2,328 a=7,746 Use diagrams and equations to solve each problem. Show your work. 4. Acompany printed flyers to advertise their upcoming sale. The flyers were printed in 3 batches. The first batch had 7,355 flyers. The second bath had 1,690 fewer flyers than the first bath. The third batch had 895 fewer than the second batch. How many flyers did they print in all? ‘Student Practice Book 232. There are 625 students going on a field trip. The students are into four groups. How many students are in the red group? Number of students A food bank collected 3,887 food items in one month. The next month they collected 997 more food items, The following month they collected 572 fewer items than the first month, How many food items were collected over three months? The water park had 15,276 visitors on opening weekend. The following weekend had 1,231 fewer visitors than opening weekend. The third weekend had 765 more visitors than the second weekend. How many visitors did the park have over the first three weekends? rate Fak sy rater mumers roansyur name ern magaanes nace articles. Ask your child to round the number to the nearest hundred thou- @Home 2276-27 thousand, anc thousand. ten ask your chil to identity which tivity cme ls most reasonable in each stuation, Student Practice Book 24Lesson 3-9 Additional Practice Name Review You can solve problems using several steps and multiple strategies. Lakeside School District has $155,837 set aside to buy new playground equipment. They spent $87,230 on swing sets at all of the elementary schools in the district. They need $62,561 for slides and $30,652 for jungle gyms. How much more money do they need to purchase the slides and jungle gyms? Step 1 Find the amount the school district has left after buying swing sets for all of the elementary schools. ~---$155,837 ----------. $87,230 M m = 155,837 — 87,230 m = 68,607 The district has $68,607 left. Step 2 Find the cost of the slides and jungle gyms. 62,561 + 30,652 = 93,213 The slides and jungle gyms will cost $93,213. Step 3 Find how much more money the group needs. 93,213 — 68,607 = 24,606 The district needs $24,606 more for new slides and jungle gyms. Student Practice Book 25Solve. Show your work. 4. The Green Meadows Homeowners Association had $4,715 in their account at the end of last year. This year they want to landscape the neighborhood park. In January they collect $1,348 in dues. The new landscaping costs $5,215. Will they have enough money for this project? 2. The New City Orchestra sold 2,736 tickets in advance for opening weekend. On Friday, they sold 3,835 tickets. They sold a total of 10,922 tickets. How many tickets did they sell on Saturday? 3. Brookfield Elementary School is holding a fun run. Each student has three weeks to get pledges to raise money for charity. After the first week the students’ total pledges were $7,462. On the final week they raised $5,890. After all the pledges were collected the school raised a total of $20,704. How much money did they raise during the second week? 4. Kayla and her family are taking a four-day train trip across the country. They will be traveling a total of 2,787 miles. On the first and second day they traveled 825 miles total. On the third day they traveled 1,043 miles. How many miles left do they have to travel on the fourth day? aah Tell your child you are going to plan a trip and have a budget of $300 a person for a plane ticket. Look online to find the cost of plane tickets to @Home_ 2% estination. Determine if you have enough budgeted for everyone's POMC plane tickets. Activity Student Practice Book 26