GRADE 5 TEXAS. Multiplication and Division WORKSHEETS

Transcription

1 GRADE 5 TEXAS Multiplication and Division WORKSHEETS

2 Multi-digit multiplication Multiplying lage numbes is a pocess of multiple steps. Fist, you multiply: =,252 2 You have now used up all you ones. Coss out the 6 in the ones place and place a zeo in the next column to show this. Now you multiply: = 0, , Add up you wok:, ,840 = 4,092 Use a calculato to help you wok out the values you could expect when multiplying the following. Check the columns: a a one by a one 9 7 b a ten by a one 4 5 c a hunded by a one 26 7 d a ten by a ten 72 e a ten by a hunded T TH TH H T O 2 2 would give me a one only. But 8 6 would give me tens and ones. I ll check both columns. 2 Pactice multiplying multi-digit numbes. Estimate fist: e: e: e: a b 8 9 c Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.B 5.NBT.6

3 Multi-digit multiplication Moe pactice with multiplying multi-digit numbes: a b c d 4 4 e f Use multiplication to solve these poblems: a The sixth gade teaches ae taking thei classes to the Museum of Natual Histoy. Thee is a total of 25 students in sixth gade and admission to the museum is $ pe student. What is the total cost fo all sixth gades? b Allison has a steady babysitting job and makes $00 a month. She has been on the job fo 8 months. How much money has she eaned? c Tommy and his family want to move to Bazil and stay with thei gandpaents fo 6 months. They aen t sue if the visit will wok with thei budget. They calculate it will cost $567 pe month. How much will the whole tip cost? Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION 5.NBT.5, 5.B, 5.4B 5.NBT.6 2

4 Divisibility ules Divisibility ules tell us if a numbe can be divided evenly by anothe (that is, with no emaindes). Use the ules to test out the numbes in the last column. The fist two have been done fo you: Divisible by Rule Test A numbe is divisible by 2 if it s even (ends in 0, 2, 4, 6, o 8). A numbe is divisible by if the sum of its digits is divisible by. A numbe is divisible by 4 if the numbe made by the last 2 digits is divisible by 4. A numbe is divisible by 5 if thee s a 0 o 5 in the ones place. Is 458 divisible by 2? Yes, because it ends in an even numbe. Is 7,28 divisible by? = 8 Yes, because 8 is divisible by. Is,92 divisible by 4? Is 455 divisible by 5? A numbe is divisible by 6 if it is divisible by 2 AND. A numbe is divisible by 9 if the sum of its digits is divisible by 9. A numbe is divisible by 0 if thee is a zeo in the ones place. Is 74,60 divisible by 6? Is it divisible by 2? Is it also divisible by? Is 6,45 divisible by 9? Is 5,680 divisible by 0? Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.C 5.NBT.6

5 Divisibility ules 2 These numbes can all be divided with no emaindes. Wok with a patne to find the ule o ules that can be used to divide them. Fill in the tables ,025,486 6,99,256 9,050 0, Numbes may go onto moe than table! Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.C 5.NBT.6 4

6 Division In division, we use ou knowledge of multiplication to help us. We can split 96 into divided by is 00, so we put a in the hundeds place. 2 0 divided by is 0, so we put a in the tens place divided by is 2, so we put a 2 in the ones place. 96 = 2 Divide these numbes: a b c d e f g h i Sometimes it s easie to split the numbes diffeently. We can also split 96 into divided by is 00, so we put a in the hundeds place 6 divided by is 2. We put the in the tens place and the 2 in the ones place. 96 = 2 In these poblems, if thee ae no tens in a numbe we put a 0 in to show this and also to hold the place of the othe numbes! 2 Decide how you ll split these numbes and then divide. Remembe to put in zeos as needed. a b c d e Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.C 5.NBT.6 5

7 Division with emaindes Sometimes numbes don t divide evenly. The amount left ove is called the emainde. Look at 527 divided by divided by 5 is divided by 5 is 5 with 2 left ove (this is the emainde) This can be witten as = Divide these 2 digit numbes. Each poblem will have a emainde. a b c d e f Divide these digit numbes. Each poblem will have a emainde. a b c d e f Solve these poblems: a Giovanni s gandma has given him a bag of gold coins to shae among himself and his two sistes. Thee ae 47 gold coins altogethe. How many does each child get if they e shaed evenly? How would you suggest they deal with the emainde? b You have 59 Aiheads to add to paty bags. Each bag gets 5 Aiheads. How many full paty bags can you make? Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.C 5.NBT.6 6

8 Division with emaindes Thee ae ways of expessing emaindes. How we do it depends on how we d deal with the poblem in the eal wold. Look at: One way is to wite 2 as in the example above. We use this when we don t cae about being absolutely pecise and when the emainde can t be easily boken up. An example would be shaing 527 jelly beans among 5 people. Solve these poblems expessing the emaindes as. a Shae 26 blue pencils among 4 people. b Shae 25 pape clips among 7 people. 5 We can also expess a emainde as a faction. We do this when we can easily shae the emainde. Fo example, 9 cakes shaed among people is 6 and one thid each. Solve these poblems expessing the emainde as a faction: 6 9 a Shae pizzas among 4 people. b Shae 50 sandwiches among people. 6 We expess emaindes as decimals when we must be absolutely pecise. Shaing dolla amounts is a good example of this. We add the cents afte the decimal point to help us. Ty these: a Shae 2 dollas among 4 people. b Shae 27 dollas between 2 people. 27 divided by 2 is. Now we have one dolla left. How how many cents is half of one dolla? Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.C 5.NBT.6 7

9 Witten methods poblem solving You e planning a tip to the Wet and Wild theme pak and thee ae many ticket options. Use a stategy of you choice and the pice list below to answe the following questions: Enty -day pass $2 Extas 5-minute helicopte ide $42 2-day pass $48 0-minute helicopte ide $74 Annual pass $99 0-minute helicopte ide $209 Individual ides $2 Sunset cuise $2 0-ide pass $95 Lunch cuise $22 Ode online $5 discount Swim with the dolphins $75 a If you buy a 2-day pass, what is the cost pe day? b How much cheape is this option than buying two -day passes? c If you bought an annual pass, how many times would you need to visit to make it a bette option than buying eithe a -day o 2-day pass? d What if you choose just the ides? How much would you save if you bought the 0-ide pass instead of the individual ides? e If you took a 5-minute helicopte ide, what would be the cost pe minute? f What about if you chose the 0-minute flight option? What would be the cost pe minute? g Plan a day s itineay fo you and a patne. How much will this cost? Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.C 5.NBT.6 8

10 Cack the code apply What to do Use the code below to wok out the hidden message A A = A A is F = H + L F = Once I wok out the fist couple, the est come easily! M M = M + M M is E = F 2 E = T M = A T is 2 L = I I = T + T = H H is (2 L) A = C C = H M = L L is F + A = N N = L = U U is T = S S = What to do Ty this one: A A = A + A A is L + E = S S is If two lettes ae togethe, we multiply them to get the answe. A + A = T T is N N = I I is T 2 = N N is U A = C C is AL T = E E is S (2 T) = P P is 2 E = L L is 2 U P = O O is E + T = U U is S + E = R R is Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION 5.NBT.5, 5.B, 5.C 5.NBT.6 9

11 Puzzles apply What to do Use you knowledge of multiplication to wok out the missing values: a 2 8 b 7 c d 8 e 6 8 f g 2 6 h 4 2 i What to do Fill in the multiplication and division tables by woking out the missing digits. The aows show you some good stating places Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION DIVISION 5.NBT.5, 5.B 5.NBT.6 0

12 Puzzles apply What to do Complete this cossnumbe puzzle: Acoss Down What to do Test you speed and accuacy. Race against a patne o the clock to complete each table: Time: Time: Time: Copyight P Leaning Gade Gade 5 5 MULTIPLICATION AND AND DIVISION 5.NBT.5, 5.B, 5.C 5.NBT.6