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th5 Grade MathSummer PacketGet ready for 5th Grade Math with Ms. Murano!In this packet you will find a review of the most important topics youlearned in 4th Grade Math this year. Reviewing these topics over thesummer will help you be prepared for 5th Grade Math in September!There is a brief review of each important topic with problems that aresolved for you to use to refresh your memory. In total, there are 100questions for you to answer and they are separated into 7 groups. Mysuggestion is to try to complete one group of problems each week sothat you can space them out over the summer.I will be collecting these summer packets on the first day of school andthey will count as a grade, so make sure you show all of your work! Ican’t wait to meet you all in September!Happy Reviewing!!!!Name:
Adding Whole Numbers1. Write the problem vertically, lining up the numbers to the right.ex: 5,938 7462. Add the ones digits of the numbers. If the sum is 10 or more, carrythe tens digit and write the ones digit in the answer.1 15938 74666843. Repeat with the tens digits. Be sure to add in any carried digits, too!4. Continue working right to left until there are no more digits to add. 6,684Subtracting Whole Numbers1. Write the problem vertically, lining up the numbers to the right.2. Subtract the ones digits of the numbers. If the top digit is less than thebottom digit, borrow. (Cross out the digit next to it and decrease it byone. Add 10 to the ones digit.) Then subtract the bottom digit from thenew top one.ex: 458 - 2683 153. Repeat with the tens digits of the numbers.- 4582681 904. Continue working right to left until there are no more digits to subtract. 190Rounding Whole ed-thousands,ex: round 34,647 to thenearest hundred1.Keep all digits to the left of the place you are rounding the same.2.If the digit to the right of the rounding digit is less than 5, keep therounding digit the same. If it’s 5 or greater, increase the roundingdigit by 1.3.Change all places to the right of the digit you are rounding to 0.The 6 is in the hundredsplace.Keep the 34 the same.After the 6 is a 4, which isless than 5, so the 6 staysthe same and the numbersafter it turn to zeroes. 34,600
Find each sum or difference.1. 89 742. 627 9133. 723 114. 2,354 3,7285. 1,925 896. 7,627 8367. 53 – 318. 682 – 4269. 844 – 7910. 2,365 – 1,29911. 3,014 – 4512. 5,200 – 845Round the number 245,382 to the nearest given place value.13. hundred14. ten-thousand15. thousand16. ten
Multiplying by 1-Digit Numbers1.2.3.4.Write the problem vertically, with the greater number on top.Be sure to line up the numbers to the right.ex: 892 x 6Multiply the bottom number by the ones digit of the topnumber. Write down the ones digit of that answer and carrythe tens digit.5 189265352xMultiply the bottom number by the tens digit of the topnumber. If you carried a digit from the first product, be sureto add it to you your new product. Write down the ones digitof the answer and carry the tens digit. 5,352Repeat with any remaining digits of the top number, workingright to left.Multiplying Two 2-Digit Numbers1.Write the problem vertically. Be sure to line up the numbersto the right.2.Multiply the ones digit of the bottom number by each digit ofthe top number, right to left, (as explained in the multiplyingby 1-digit numbers section above).3.Bring down a zero.4.Multiply the tens digit of the bottom number by each digit ofthe top number, right to left, (as explained in the multiplyingby 1-digit numbers section above).5.Add the two products together to get your final answer.ex: 76 x 2412x 7624 30415201824 1,824
Find each product.17. 24 x 718. 96 x 319. 57 x 220. 845 x 521. 910 x 822. 341 x 623. 1,387 x 424. 8,452 x 925. 5,023 x 826. 34 x 2127. 84 x 1328. 95 x 6429. 32 x 2030. 67 x 8931. 72 x 44
Dividing with 1-Digit Divisors1.Write out the long division problem with the firstnumber (dividend) underneath the division symbol andthe second number (divisor) to the left of the divisionsymbol.2.Divide the divisor into the smallest part of thedividend it can go into and write the number of timesit can go in on top of the division symbol.3.Multiply the number on top by the divisor and writethe product under the number you divided into instep 2.4.Subtract your product from the number above it.5.Bring down the next digit of the dividend.6.Repeat steps 2-5 until there is nothing left to bringdown.7.If your last subtraction answer is not zero, write theremainder on top.ex: 6,413 971 2 R59 632256413-63-1 19- 23185Checking Division Answers Using Multiplication1.Multiply your quotient (not including the remainder)by the divisor.2.Add your remainder to the product you get.3.Make sure the answer you get is the same numberas the dividend in the original problem.ex: 6,413 9 712 R 511712x 9640816408 56413
Find each quotient. Check your answers using multiplication.32. 95 633. 58 234. 86 335. 232 436. 512 737. 203 838. 625 539. 442 940. 102 341. 2,304 642. 1,832 743. 9,203 8
Greatest Common FactorFactors are numbers that can be multiplied together toequal a given number.To find the greatest common factor (GCF) of 2 or morenumbers:1.List all the factors of each number.2.Find the largest number that is a factor of eachnumber.ex: find the GCF of12 & 1512 1 x 12, 2 x 6, 3 x 412: 1, 2, 3, 4, 6, 1215 1 x 15, 3 x 515: 1, 3, 5, 15GCF 3Least Common MultipleMultiples are numbers that can be divided by a givennumber without a remainder.ex: find the LCM of6&8To find the least common multiple (LCM) of 2 or morenumbers:6: 6, 12, 18, 24, 301.List the first several multiples of each number.8: 8, 16, 24, 32, 402.Find the smallest number that is a multiple of eachnumber.LCM 24
Find the greatest common factor of each pair or group of numbers.44. 20 & 1545. 12 & 1846. 24 & 3047. 22 & 2848. 20 & 4049. 18 & 2750. 6, 8, & 1251. 12, 18, & 24Find the least common multiple of each pair or group of numbers52. 8 & 1053. 9 & 654. 8 & 1255. 7 & 856. 9 & 1257. 10 & 1558. 6, 9, & 1259. 4, 6, & 10
Simplifying Fractions1. Divide the numerator and denominator by a commonfactor.10ex: simplify 12you can divide both 10 and 12 by 22. Repeat until the only common factor of the numeratorand denominator is 1.10 2 512 2 6the only number you can divide both5 and 6 by is 1, so you are done!Comparing Fractions1. Find a common denominator for the fractions byfinding a common multiple of the two denominators.2. For each fraction, determine what you multiplied thedenominator by to get that common denominator, andthen multiply the numerator by that same number.3. Now that the fractions are rewritten with commondenominators, compare the two fractions. Thefraction with the larger numerator is greater.4. Use the appropriate symbol to compare the fractions. : less than, : greater than, : equal to356ex: compare: 412 is a multiple of both 4 and 65 x 2 10 6 x 2 123 x3 9 4 x 3 12912 10129 is smaller than 10, so the 1st fractionis LESS THAN the 2nd fraction
Simplify each 7.1030Compare each pair of fractions using , , or by renaming them with a .1541573.291375.392676.121374.7834
Geometric FiguresPoint: a locationLine: a straight line made up of points that extends forever inboth directionsLine Segment: a part of a line with two endpointsRay: a part of a line with one endpoint that extends foreverin one directionAngle: two rays with a common endpointRight Angle: an angle with a measure of 90 Acute Angle: an angle with a measure less than 90 Obtuse Angle: an angle with a measure greater than 90 Parallel Lines: lines that never meet and are always the samedistance apartPerpendicular Lines: lines that form right angles where theycross
Identify each geometric figure.77.78.79.80.81.82.83.84.Draw your own example of each geometric figure.85. obtuse angle86. ray87. acute angleUse a geometry term to identify the bold part of each triangle.89.90.91.88. parallel lines
Solve each word problem.92. Tina left her house at 6:45 AM. 93. Greg made 18 per hour doingShe came home at 1:35 PM.How long was she out of thehouse?95. If Tyler is currently 51 inchesyardwork. If he worked for6 hours, how much money didhe make?96. 24 out of the 30 students intall, how many inches moredoes he need to grow to be 5feet tall?Mr. Willow’s class ride the busto school. What fraction ofthe class does not ride thebus? Express your answer insimplest form.98. Hot dogs come in packages of99. Joelle makes 9 each hour she12. Hot dog buns come inpackages of 8. What is theleast number of hot dogs &buns you can buy so that youhave the same number ofeach?babysits. If a new phonecosts 112, how many hoursmust she babysit so that shehas enough money to buy thephone?94. Mrs. Appleton baked 24cookies. If she split thecookies evenly among her 5children, how many cookies dideach child get? How manycookies were leftover?97. Xavier played video games for1 hour and 45 minutes beforehe went to bed. If he went tobed at 9:00 PM, what time didhe start playing video games?100. Heather goes to ballet threetimes a week for 30 minuteseach time. She tap dancestwice a week for 45 minuteseach time. How much time inall does she dance per week?
Jun 5, 2020
