Today our topic of discussion will be: Division by 2 digit divisors Good Afternoon! Today our topic of discussion will be: Division by 2 digit divisors Let’s Warm up:. 1) Estimate: 326 ÷ 6 2) 2500 ÷ 5 3) 67 ÷ 7 4) 86 ÷ 9 5) 345 ÷ 4 CONFIDENTIAL

42 is the Dividend, 6 is the divisor, 7 is the quotient. REVIEW We can apply the concept of Place value to find the solution of multiples of 10. 42 is the Dividend, 6 is the divisor, 7 is the quotient. 42 ones ÷ 6 = 7 ones 42 ÷ 6 = 7 42 tens ÷ 6 = 7 tens 420 ÷ 6 = 70 42 hundreds ÷ 6 = 7 hundreds 4,200 ÷ 6 = 700 CONFIDENTIAL

120 and 4 are compatible numbers. REVIEW Numbers that are close to the number in a problem and are easy to divide mentally are Compatible Numbers. The objective of finding Compatible numbers is the Estimation of Quotients. Estimate 123 ÷ 4 120 ÷ 4 = 30 120 and 4 are compatible numbers. Compatible numbers help to find the multiple that is closest to the dividend, so it is easier to divide mentally. CONFIDENTIAL

We will solve this with the help of paper-pencil. REVIEW Divide 114 by 3. We will solve this with the help of paper-pencil. 3 tens in each group. STEP 1: 3 11 tens, 4 ones 3 114 2 tens left -9 9 tens used 2 STEP 2: Bring down 4 ones. 3 3 114 -9 24 24 ones in all. CONFIDENTIAL

REVIEW STEP 3: 8 ones in each group. 38 3 114 -9 24 -24 0 ones left. 24 ones used. CONFIDENTIAL

REVIEW Quotients with zero. Divide 411 by 4. Estimate to place the first digit. STEP 1: 4 411 4 = 4, enough to divide. So, the first digit is in the hundreds place. STEP 2: Divide the hundreds. 1 4 411 - 4 Divide 4 ÷ 4 = 1. Put 1 in the quotient. Subtract 4 – 4 = 0. Place a ‘0’ in the hundredth column. CONFIDENTIAL

Bring down the tens. Divide the tens. REVIEW 10 Bring down the tens. Divide the tens. 4 411 - 4 STEP 3: 01 - 0 1 1 < 4, not enough to divide. Put 0 in the quotient. Subtract: 1 – 0 = 1 Bring down the ones. Divide the ones. STEP 4: 102 4 411 - 4 01 - 0 11 - 8 3 8 < 11, enough to divide. Multiply 4 x 2 = 8. Subtract: 11 – 8 = 3. Compare: 3 < 4, so, 3 is the remainder. CONFIDENTIAL

42 is the Dividend, 6 is the divisor, 7 is the quotient. Let’s start with the new topic now Find 4,200 ÷ 60 Here also we can apply the concept of Place value to find the solution as in the previous lesson. 42 is the Dividend, 6 is the divisor, 7 is the quotient. 42 ones ÷ 6 = 7 ones 42 ÷ 6 = 7 42 tens ÷ 6 tens = 7 ones 420 ÷ 60 = 7 42 hundreds ÷ 6tens = 7 tens 4,200 ÷ 60 = 70 CONFIDENTIAL

We have learnt to estimate quotients by using Compatible Numbers. Here we will use division facts to find a compatible number for 356 and 40. 356 is closer to 360. 41 is closer to 40. The basic fact is: 36 ÷ 4 = 9 So, 360 ÷ 40 = 9 The estimate of 356 ÷ 41 is 9. CONFIDENTIAL

We will solve this with the help of place-value models. Divide 43 by 20. We will solve this with the help of place-value models. STEP 1: 43 can be shown as 4 tens and 3 ones. We will draw rectangles to show 2 groups of 20. On paper and pencil: 20 43 CONFIDENTIAL

Place an equal number of tens in each group of 20 blocks. STEP 2: Place an equal number of tens in each group of 20 blocks. On paper and pencil: 2 20 43 - 40 3 There will be 3 ones left. This is the Remainder. CONFIDENTIAL

Regroup hundreds as tens. Find 169 ÷ 12 Show 169 using place-value models. Regroup hundreds as tens. CONFIDENTIAL

Regroup the tens as ones. Place an equal number of tens in each group of 12 blocks. 1 one left is Remainder. CONFIDENTIAL

On paper and pencil: STEP 1: 12 169 STEP 2: 1 12 169 - 12 4 12< 16. So there are enough tens. STEP 2: 1 1 tens in each group. 12 169 - 12 12 tens in used. 4 4 tens left. CONFIDENTIAL

STEP 3: 1 12 169 Bring down 9 ones. - 12 49 49 ones in all. STEP 4: 14 12 169 - 12 49 - 48 48 ones used. 1 1 left is Remainder. CONFIDENTIAL

BREAK CONFIDENTIAL

Click on the link below for some exciting puzzle GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/121805snogirl.html CONFIDENTIAL

Assignments Divide: 1) 9,000 by 30 2) 3,600 by 90 3) 4,500 by 50 CONFIDENTIAL

4) Savio covers a distance of 180 miles driving his car 4) Savio covers a distance of 180 miles driving his car. If he covers 15 miles in 1 hour, then for how many hours does he drives? CONFIDENTIAL

Estimate: 5) 311 ÷ 20 6) 795 ÷ 19 CONFIDENTIAL

Find: 7) 62 ÷ 20 8) 83 ÷ 10 9) 413 ÷ 37 10) 752 ÷ 21 CONFIDENTIAL

42 is the Dividend, 6 is the divisor, 7 is the quotient. Very Good! Let's Review Find 4,200 ÷ 60 Here also we can apply the concept of Place value to find the solution as in the previous lesson. 42 is the Dividend, 6 is the divisor, 7 is the quotient. 42 ones ÷ 6 = 7 ones 42 ÷ 6 = 7 42 tens ÷ 6 tens = 7 ones 420 ÷ 60 = 7 42 hundreds ÷ 6tens = 7 tens 4,200 ÷ 60 = 70 CONFIDENTIAL

We have learnt to estimate quotients by using Compatible Numbers. Here we will use division facts to find a compatible number for 356 and 40. 356 is closer to 360. The basic fact is: 36 ÷ 4 = 9 41 is closer to 40. So, 360 ÷ 40 = 9 The estimate of 356 ÷ 40 is 9. Find 169 ÷ 12 STEP 1: 12 169 12< 16. So there are enough tens. STEP 2: 1 1 tens in each group. 12 169 - 12 12 tens in used. 4 4 tens left. CONFIDENTIAL

STEP 3: 1 12 169 Bring down 9 ones. - 12 49 49 ones in all. STEP 4: 14 12 169 - 12 49 - 48 48 ones used. 1 1 left is Remainder. CONFIDENTIAL

See you in the next session. You have done a nice job. See you in the next session. CONFIDENTIAL