GRADE Division WORKSHEETS
Division division is shring nd grouping Division cn men shring or grouping. There re cndies shred mong kids. How mny re in ech shre? = 3 There re 6 pples nd go into ech bsket. How mny bskets do I need? 6 = Solve these shring nd grouping questions: There re 9 cupckes nd 3 kids re shring. How mny re in ech shre? b A group of kids shre cndies so they ech get. How mny kids re shring? c There re pencils nd 6 pencil cups. How mny pencils go into ech pencil cup? Grde DIVISION.NBT.6
Division division is shring nd grouping Drw pictures to show these division questions. Then write the division fct nd decide whether it is shring or grouping question. If you need to find out how mny items there re in ech shre, it s shring question. If you need to find out the number of equl shres, it s grouping question. Divide 6 cndies mong girls. How mny does ech girl get? shring / grouping b From pcket of pencils, ech person will get 6. How mny people re shring the pencils? shring / grouping c 8 eggs re lid by 6 hens. If they ll lid the sme mount, how mny did ech hen ly? shring / grouping Grde DIVISION.NBT.6
Division division is repeted subtrction Division cn lso be thought of s repeted subtrction. Look t 30 5 =? This question is sking how mny groups of 5 there re in 30. Jump in 5s long the number line nd then count the jumps. 6 5 3 5 5 5 5 5 5 0 5 0 5 0 5 30 So, 30 5 = 6 Show these division fcts s repeted subtrction. First lbel the number lines nd then show the jumps. 36 6 = 0 36 b 3 = 0 Write division fct to mtch these number lines. Show the jumps. 0 8 6 0 8 b 0 8 6 3 Grde DIVISION.NBT.6 3
Division linking multipliction nd division fcts Knowing multipliction fcts will help with division fcts. This is becuse they re opposites. Look t how we cn describe this rry: 6 = 6 groups of is. 6 = groups of 6 is. = 6 divided into shres is 6. 6 = divided into 6 shres is. Describe ech of these rrys using two multipliction nd two division fcts: b c d Drw n rry of 6 rows of 3, then describe it with multipliction nd division fcts. This is lso clled fct fmily. Grde DIVISION.NBT.6
Division linking multipliction nd division fcts 3 Write fct fmily for ech set of numbers in the tringle. The first one hs been done for you. 5 7 = 35 35 35 5 = 7 7 5 = 35 7 5 35 7 = 5 b 7 9 3 c 8 6 8 d 0 8 5 For these problems, think of multipliction fct to help write the division fct: $5 is shred mong 5 people. How much does ech person get? b 5 people get into 9 crs. How mny people re in ech cr? Grde DIVISION.NBT.6 5
Division reminders Sometimes division is not exct. From 3, we cn mke equl shres of 6 with left over. We cll the left over the reminder. 3 6 = reminder In ech rry, ring the equl shres to see the reminder: 5 = reminder b 9 6 = reminder c 3 7 = reminder d 3 9 = reminder Grde DIVISION.NBT.6 6
Division reminders Now use your multipliction fcts. 5 6 =? Think 6 = + is 5 So, 5 6 = reminder Use your multipliction fcts to write the division fcts nd the reminder: 3 0 =? Think + is So, reminder b 30 =? Think + is So, reminder c 37 9 =? Think + is So, reminder 3 Complete ech word problem: 39 pencils were shred mong 6 kids. How mny did ech kid get? reminder b 3 fish were divided mong 6 tnks. How mny fish re in ech tnk? reminder c From 7 flowers, 5 flowers were rrnged in ech vse. How mny vses were used? reminder Write in the missing number to mke this sttement true: 6 = 8 reminder Grde DIVISION.NBT.6 7
Mentl division strtegies dividing by 0 nd 00 When we divide ny number by 0, we move the number one plce vlue spce to the right. When we divide ny number by 00, we move the number two plce vlue spces to the right. Thousnds Hundreds Tens Ones 6 7 0 0 6 7 0 0 6 7 00 Use the plce vlue tbles to divide these numbers by 0 nd 00. Th H T O b Th H T O 5 3 0 0 0 0 0 00 0 00 c Th H T O d Th H T O 8 0 0 0 0 0 00 0 00 Use ptterns to solve these:,00 =,00 0 =,00 00 = b 5,600 = 5,600 0 = 5,600 00 = c 3,500 = 3,500 0 = 3,500 00 = 3 Use clcultor to solve these: 70 00 = b 9 0 = Grde DIVISION.NBT.6 8
Mentl division strtegies hlving strtegy When you hlve numbers you re dividing them by. In this function mchine, numbers go IN, hve the rule pplied, nd come OUT gin. IN 8 RULE: Hlve OUT 6 Complete the hlving function mchines. Hlve the number going IN the mchine nd write the nswer in the OUT column: IN OUT b IN OUT 80 RULE: 70 RULE: 0 Hlve Hlve 0 36 c IN OUT d IN OUT RULE: 8 RULE: 90 Hlve 50 Hlve 60 00 Below is hlving-hlving function mchine. The number goes IN nd is hlved nd then hlved gin nd comes OUT. IN OUT 00 36 60 RULE: Hlve RULE: Hlve Grde DIVISION.NBT.6 9
Mentl division strtegies hlving strtegy We lso use hlving-hlving to divide by. Look t these digrms: Hlve 6 once Hlve 6 twice 8 6 8 3 Use the tbles for hlving-hlving to divide by : 80 = Hlve 80 once Hlve 80 twice b 8 = Hlve 8 once Hlve 8 twice c 6 = Hlve 6 once Hlve 6 twice d 0 = Hlve 0 once Hlve 0 twice e = Hlve once Hlve twice f 88 = Hlve 88 once Hlve 88 twice Complete the division wheels: 90 8 56 0 30 70 b 36 00 5 8 60 88 Grde DIVISION.NBT.6 0
Mentl division strtegies split strtegy Division problems cn be much esier to solve if you split the number. Look t 5 5. Cn we split the number into two multiples of 5? Yes, we cn split 5 into 00 nd 5. 5 5 We divide ech prt by 5 nd then dd the two nswers together. 00 5 5 5 0 + 5 = 5 Use the split strtegy to divide these by 5: 5 5 b 35 5 5 5 + = 5 5 + = Use the split strtegy to divide these by : 6 b 6 + = + = 3 Use the split strtegy to divide these by 3: 330 3 b 6 3 3 3 + = 3 3 + = Grde DIVISION.NBT.6
Mentl division strtegies strtegy review Review your division strtegies. Use either the hlving strtegy or the split strtegy to complete the tbles. The first one hs been done for you. Use the split strtegy: b Use the hlving strtegy: 8 3 = 6 6 = 8 is 30 + 8 30 3 = 0 nd 8 3 = 6 0 + 6 = 6 c Use the split strtegy: d Use the hlving strtegy: 3 3 = 0 = Solve this riddle by mtching the letter to the nswer. Use mentl division strtegy for ech problem. Wht is it tht the more you tke, the more you leve behind? 68 = s 90 6 = p 35 5 = e,00 0 = f 0 = o 8 = t 0 60 60 3 7 3 7 5 7 Grde DIVISION.NBT.6
Division written methods Another wy to represent division is with the division symbol. T O This is the sme s 36 6 = 6 6 If the nswer is single digit, it should go in the 6 3 6 ones column. Solve these division problems using the division symbol: b c 5 3 5 8 9 8 d e f 6 5 6 g h i 5 5 7 9 8 8 Use the division symbol to solve ech problem: cupckes were iced by 7 kids. If they ech iced the sme mount, how mny did ech one ice? b How mny pots were used if 6 seeds were plnted in ech pot from pcket of 5? c I run the sme distnce ech dy. Over 9 dys the totl distnce is 7 km. How fr did I run ech dy? Grde DIVISION.NBT.6 3
Division written methods This is the wy we write reminders when using the division symbol. 6 5 r 3 This is the sme s 5 6 = reminder 3. Check your work with the closest multipliction fct: 6 = Then dd on the reminder: + 3 = 5 Solve these division problems nd then check them. r Check with the multipliction fct nd dd the reminder: 8 7 + b r Check with the multipliction fct nd dd the reminder: 9 3 8 + c r Check with the multipliction fct nd dd the reminder: 6 5 + d r Check with the multipliction fct nd dd the reminder: 5 8 + Wht is the question if I m checking with this multipliction fct? r 5 6 = 30 + 3 Grde DIVISION.NBT.6
Division written methods In division with 3-digit numbers we split the number: 68 is 00 + 60 + 8 00 divided by is 00, so we put in the hundreds plce. 60 divided by is 30, so we put 3 in the tens plce. 8 divided by is, so we put in the ones plce. H T O 3 6 8 Prctice splitting these: 368 is + + c 567 is + + b 5 is + + d 35 is + + Now put these split numbers bck together: 500 + 70 + 8 is c 00 + 0 + 6 is b 700 + 90 + is d 800 + 50 + 5 is 3 Solve these division problems with 3-digit numbers: 8 b 3 6 9 3 c 8 d 8 8 Here re two division problems with missing numbers in the questions. Find out the missing numbers by using the numbers tht re prt of the nswer s clues. 3 b 3 3 6 Grde DIVISION.NBT.6 5
Division written methods Sometimes we need to split the number different wy. For exmple: 55 = 500 + 5 500 divided by 5 is 00, so we put in the hundreds plce. 5 divided by 5 is 3, so we put 3 in the ones plce. Wht goes in the tens plce? A zero does. The zero hs the very importnt job of keeping the other numbers in their plce! H T O 0 3 5 5 5 5 Prctice these problems. We hve put the zero in to remind you: 0 0 8 b 3 9 0 0 c 3 9 d 8 6 Prctice these problems. This time, you need to remember the zero! 3 9 8 b 6 6 c 8 3 d 8 6 Grde DIVISION.NBT.6 6
Symbols solve Wht to do Cn you work out the vlue of ech symbol? The vlues re, 3,, 6, 8, 9, nd. Remember, the sme symbol mens tht it s the sme number. = = = = = = = Grde DIVISION.NBT.6 7