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Estimating Quotients

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.

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Estimating Quotients

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  1. Estimating Quotients

  2. Division Patterns 32 ÷ 8 = 4 320 ÷ 8 = 40 3,200 ÷ 8 = 400 32,000 ÷ 8 = 4,000 320,000 ÷ 8 = 40,000

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

  4. Use Basic Math Facts to Find the Quotient 4 4 3 3 1 2 4 3 3 1 2 300,000 ÷ 5,000 = 1 = - 6 0 30 ÷ 5 = 6 1 zero in the quotient Step 4: The difference tells you how many zeros to place in your quotient Step 2: Count the zeros outside of the boxes in the dividend and divisor, then subtract. Step 1: Find and solve the basic math fact.

  5. Use Basic Math Facts to Find the Quotient 3 3 0 0 1 2 3 28,000 ÷ 7 = 3 = - 4,000 4 000 28 ÷ 7 = 4 3 zeros in the quotient Step 4: The difference tells you how many zeros to place in your quotient Step 2: Count the zeros outside of the boxes in the dividend and divisor, then subtract. Step 1: Find and solve the basic math fact.

  6. Use Basic Math Facts to Find the Quotient 1,200 ÷ 3 = 00 4 450,000 ÷ 90 = 5 ,000 15,000 ÷ 5,000 = 3 56,000 ÷ 80 = 7 00 4,200,000 ÷ 7,000 = 6 00

  7. 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

  8. Estimating Quotients with Compatible Numbers 38,917 ÷ 45 = = 00 40 8 ,000 ÷ 5 0 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.

  9. Estimating Quotients with Compatible Numbers 46,749 ÷ 93 = = 00 45 5 ,000 ÷ 9 0 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.

  10. Estimating Quotients with Compatible Numbers 1,859 ÷ 481 = = 2,0 00 ÷ 5 4 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.

  11. ) ) Estimating Quotients with Compatible Numbers 2,867 49 6 0 5 0 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.

  12. Estimating Quotients with Compatible Numbers 26,043 ÷ 852 = = 0 24 3 ,000 ÷ 8 00 33,842 ÷ 528 = = 35 ,000 ÷ 5 7 00 0

  13. Estimating Quotients with Compatible Numbers 512 ÷ 7 = = 0 49 7 0 ÷ 7 274 ÷ 36 = 7 = 28 ÷ 0 4 0

  14. ) ) Estimating Quotients with Compatible Numbers 46,749 93 5 00 9 0 45 ,000

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