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I can use multiple strategies to divide whole numbers of 4digit dividends with 1-digit divisors with remainders. 4.M.NBT.06 Vocabulary • Divisor – the number you divide by • Dividend – the amount that you want to divide up • Quotient – the answer to a division problem Dividend ÷ Divisor = Quotient Grouping Strategy • How many groups of 4 balls can we make with 28 balls? (Answer on next slide) Grouping Strategy Answer • 28 balls ÷ 4 balls in each group 1 2 3 4 5 6 7 • We can make 7 groups with 4 balls in each group. Grouping Strategy Practice • How many groups of 5 balls can we make with 30 balls? (Answer on next slide) Grouping Strategy Practice Answer • 30 balls ÷ 5 balls in a group 1 2 3 4 5 6 • We can make 6 groups with 5 balls in each group. Distributive (Place Value) Strategy • 395 ÷ 5 Step 1: (300 + 90 + 5) ÷ 5 Step 2: (300 ÷ 5) + (90 ÷ 5) + (5 ÷ 5) Step 3 & 4: 60 + 18 + 1 = 79 Step 1: Write the numbers in expanded notation Step 2: Divide each number in the dividend (first number) by the divisor (second number) Step 3: Divide each section Step 4: add up the quotients (answers) Distributive Strategy Practice 420 ÷ 5 Step 1: (400 + 20 + 0) ÷ 5 Step 2: (400 ÷ 5) + (20 ÷ 5) + (0 ÷ 5) Step 3 & 4: 80 + 4 + 0 = 84 Step 1: Write the numbers in expanded notation Step 2: Divide each number in the dividend (first number) by the divisor (second number) Step 3: Divide each section Step 4: add up the quotients (answers) Long Division • If Donna sets up 139 chairs into equal rows of 6 chairs. How many rows will there be? (Answer on next slide) Long Division Answer • 139 (dividend) ÷ 6 (divisor) 6 cannot go into 1 so put a x x23 over the 1 6 139 6 can go into 13 two times so put a 2 over the 3 -12 Subtract 12 from 13 write the 1 under the 3 -2 and bring down 19 the 9 -18 6 can go into 19 three times so put a 3 over the 9 1 Subtract 18 from 19 and write the 1 under the 9-8 Remainder Donna can set up 23 rows of chairs with 6 in each row and will have 1 chair left over. Long Division Practice • If Debby sets up 279 chairs into equal rows of 5 chairs. How many rows will there be? (Answer on next slide) Long Division Practice Answer 5 cannot go into 2 so put a x over the 2 5 can go into 27 five times so put a 5 over the 7 Subtract 25 from 27 write the 2 under the 7-5 and bring down the 9 279 (dividend) ÷ 5 (divisor) x55 5 279 -25 29 -25 4 Remainder 5 can go into 29 five times so Debby will have 55 rows with 5 put a 5 over the 9 chairs in each row and 4 chairs left over. Subtract 25 from 29 and write the 4 under the 9-5 Rectangular Array • 1,946 ÷ 7 (Answer on next slide) Rectangular Array Answer • 1,946 ÷ 7 200 70 + 8 278 **Using long division would help with filling out the array** x278 7 1946 -14 54 -49 56 -56 0 (No Remainder) Rectangular Array Practice • 3,336 ÷ 8 (Answer on next slide) Rectangular Array Practice Answer • 3,336 ÷ 8 400 10 + 7 417 **Using long division would help with filling out the array** x417 8 3336 -32 13 -8 56 -56 0 (No Remainder) Practice 1 • How many groups of 7 stars can we make with 28 stars? (Answer on next slide) Practice 1 Answer • 28 stars ÷ 7 stars in each group 1 2 3 4 • We can have 4 groups with 7 stars in each group. Practice 2 • Use the Distributive (Place Value) Strategy to solve: 985 ÷ 5 (Answer on next slide) Practice 2 Answer 985 ÷ 5 Step 1: Write the numbers in expanded notation (900 + 80 + 5) ÷ 5 Step 2: Divide each number in the dividend (first number) by the divisor (second (900 ÷ 5) + (80 ÷ 5) + (5 ÷ 5) number) 180 + 16 + 1 = 197 Step 3: Divide each section Step 4: add up the quotients (answers) Practice 3 • Solve using Long Division: If James sets up 259 chairs into equal rows of 6 chairs. How many rows will there be? (Answer on next slide) Practice 3 Answer 6 cannot go into 1 so put a x over the 1 6 can go into 13 two times so put a 2 over the 3 Subtract 12 from 13 write the 1 under the 3 -2 and bring down the 9 6 can go into 19 three times so put a 3 over the 9 Subtract 18 from 19 and write the 1 under the 9-8 259 ÷ 6 x43 6 259 -24 19 -18 1 Remainder James can set up 43 rows of 6 chairs with 1 chair left over. Practice 4 • Use rectangular array to solve: 3,534 ÷ 6 (Answer on next slide) Practice 4 Answer 3,534 ÷ 6 **Long division will help with filling out the array** x589 6 3534 -30 53 -48 54 -54 0 (No Remainder) Think about it… • Tell your neighbor your favorite division method and why it is your favorite. • Write down the steps to solving a problem using distributive (place value) strategy.