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Estimating Quotients

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**Division Patterns 32 ÷ 8 = 4 320 ÷ 8 = 40 3,200 ÷ 8 = 400**

32,000 ÷ 8 = 4,000 320,000 ÷ 8 = 40,000

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**Division Patterns 30 ÷ 5 = 6 300 ÷ 50 = 6 3,000 ÷ 500 = 6**

30,000 ÷ 5,000 = 6 300,000 ÷ 50,000 = 6

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**Use Basic Math Facts to Find the Quotient**

4 4 3 3 1 2 3 4 1 2 3 300,000 ÷ 5,000 = 1 = 30 ÷ 5 = 6 - 6 1 zero in the quotient 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

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**Use Basic Math Facts to Find the Quotient**

3 3 1 2 3 28,000 ÷ 7 = 3 = 28 ÷ 7 = 4 - 4,000 4 000 3 zeros in the quotient 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

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**Use Basic Math Facts to Find the Quotient**

1,200 ÷ 3 = 4 00 450,000 ÷ 90 = 5 ,000 15,000 ÷ 5,000 = 3 56,000 ÷ 80 = 7 00 4,200,000 ÷ 7,000 = 6 00

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Compatible Numbers When estimating division problems, rounding will not work very well. You must use compatible numbers. Compatible numbers are numbers that contain a basic division fact… …8,100 ÷90, 720 ÷ 8, 144,000 ÷ 120

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**Estimating Quotients with Compatible Numbers**

38,917 ÷ 45 = 40 ,000 ÷ 5 = 8 00 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.

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**Estimating Quotients with Compatible Numbers**

46,749 ÷ 93 = 45 ,000 ÷ 9 = 5 00 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.

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**Estimating Quotients with Compatible Numbers**

1,859 ÷ 481 = 2,0 00 ÷ 5 00 = 4 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.

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**Estimating Quotients with Compatible Numbers**

) 49 2,867 6 ) 5 3,0 00 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.

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**Estimating Quotients with Compatible Numbers**

26,043 ÷ 852 = 24 ,000 ÷ 8 00 = 3 33,842 ÷ 528 = 35 ,000 ÷ 5 00 = 7

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**Estimating Quotients with Compatible Numbers**

512 ÷ 7 = 49 ÷ 7 = 7 274 ÷ 36 = 28 ÷ = 7 4

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**Estimating Quotients with Compatible Numbers**

) 93 46,749 5 00 ) 9 45 ,000

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