estimating quotients

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Estimating Quotients. Division Patterns. 32 ÷ 8 = 4. 32 0 ÷ 8 = 4 0. 3,2 00 ÷ 8 = 4 00. 32, 000 ÷ 8 = 4, 000. 32 0 , 000 ÷ 8 = 4 0 , 000. Division Patterns. 30 ÷ 5 = 6. 30 0 ÷ 5 0 = 6. 3,0 00 ÷ 5 00 = 6. 30, 000 ÷ 5, 000 = 6. 30 0 , 000 ÷ 5 0,000 = 6. - PowerPoint PPT Presentation

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Page 1: Estimating Quotients
Page 2: Estimating Quotients

Division Division PatternsPatterns32 ÷ 8 = 4

320 ÷ 8 = 403,200 ÷ 8 = 400

32,000 ÷ 8 = 4,000320,000 ÷ 8 = 40,000

Page 3: Estimating Quotients

300,000 ÷ 50,000 = 6

Division Division PatternsPatterns30 ÷ 5 = 6

300 ÷ 50 = 63,000 ÷ 500 = 6

30,000 ÷ 5,000 = 6

Page 4: Estimating Quotients

60

300,000 ÷ 5,000 =

Step 1: Find and solve the basic math fact.

Step 2: Count the zeros outside of the boxes in the dividend and divisor, then subtract.

Step 4: The difference tells you how many zeros to place in your quotient

21 3 1 24 3

30 ÷ 5 = 6

1 zero in the quotient

Page 5: Estimating Quotients

4000

28,000 ÷ 7 =

Step 1: Find and solve the basic math fact.

Step 2: Count the zeros outside of the boxes in the dividend and divisor, then subtract.

Step 4: The difference tells you how many zeros to place in your quotient

21 3

28 ÷ 7 = 43 zeros in the

quotient 4,000

Page 6: Estimating Quotients

1,200 ÷ 3 =450,000 ÷ 90 =15,000 ÷ 5,000 =

4,200,000 ÷ 7,000 =56,000 ÷ 80 =

4

53

76

00

,000

0000

Page 7: Estimating Quotients

Compatible Compatible NumbersNumbers

When estimating division problems, rounding will not work very well. You must use compatible numberscompatible numbers.

Compatible numbers Compatible numbers are numbers that contain a basic division fact…

…8,100 ÷90, 720 ÷ 8, 144,000 ÷ 120

Page 8: Estimating Quotients

Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.

Step 2: Find the closest basic division fact to these numbers

Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

38,917 ÷ 45 =

40 ÷ 5 = 8,000 0 00

Page 9: Estimating Quotients

Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.

Step 2: Find the closest basic division fact to these numbers

Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

46,749 ÷ 93 =

45 ÷ 9 = 5,000 0 00

Page 10: Estimating Quotients

Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.

Step 2: Find the closest basic division fact to these numbers

Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

1,859 ÷ 481 =

2,0 ÷5 = 400 00

Page 11: Estimating Quotients

3,0Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.

Step 2: Find the closest basic division fact to these numbers

Step 3: Use the basic fact to change the dividend and divisor to compatible numbers, and divide.

)2,86749

)50 0060

Page 12: Estimating Quotients

26,043 ÷ 852 =

24 ÷ 8 = 3,000 00 0

33,842 ÷ 528 =

35 ÷ 5 = 7,000 00 0

Page 13: Estimating Quotients

512 ÷ 7 =

49 ÷7 = 70 0

274 ÷ 36 =

28 ÷4 = 70 0

Page 14: Estimating Quotients

)46,74993

)4590 ,000500