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McGraw-Hill Math Grade 7 Answer Key Lesson 3.2 Estimating Quotients
Exercises Estimate
Question 1.
4568 ÷ 8
Answer:
First look at the two highest digits in the dividend, 45. This cannot be evenly divided by 8. So, round to the closest compatible number, 48.
48 ÷ 8 = 6
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
4568 ÷ 8 is about 600
Question 2.
2112 ÷ 11
Answer:
First look at the two highest digits in the dividend, 21. This cannot be evenly divided by 11. So, round to the closest compatible number, 22.
22 ÷ 11 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
2112 ÷ 11 is about 200
Question 3.
674 ÷ 8
Answer:
First look at the two highest digits in the dividend, 67. This cannot be evenly divided by 8. So, round to the closest compatible number, 64.
64 ÷ 8 = 8
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored one place values in original dividend. So, add one zero to the estimated quotient.
674 ÷ 8 is about 80
Question 4.
4657 ÷ 15
Answer:
First look at the two highest digits in the dividend, 46. This cannot be evenly divided by 15. So, round to the closest compatible number, 45.
45 ÷ 15 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
4657 ÷ 15 is about 300
Question 5.
35734 ÷ 12
Answer:
First look at the two highest digits in the dividend, 35. This cannot be evenly divided by 12. So, round to the closest compatible number, 36.
36 ÷ 12 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
35734 ÷ 12 is about 3,000
Question 6.
4252 ÷ 9
Answer:
First look at the two highest digits in the dividend, 42. This cannot be evenly divided by 9. So, round to the closest compatible number, 45.
45 ÷ 9 = 5
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
4252 ÷ 9 is about 500
Question 7.
67891 ÷ 16
Answer:
First look at the two highest digits in the dividend, 67. This cannot be evenly divided by 16. So, round to the closest compatible number, 64.
64 ÷ 16 = 4
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
67891 ÷ 16 is about 4,000
Question 8.
321 ÷ 19
Answer:
First look at the two highest digits in the dividend, 32. This cannot be evenly divided by 19. So, round to the closest compatible number, 38.
38 ÷ 19 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored one place values in original dividend. So, add one zero to the estimated quotient.
321 ÷ 19 is about 20
Question 9.
682 ÷ 35
Answer:
First look at the two highest digits in the dividend, 68. This cannot be evenly divided by 35. So, round to the closest compatible number, 70.
70 ÷ 35 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored one place values in original dividend. So, add one zero to the estimated quotient.
682 ÷ 35 is about 20
Question 10.
92099 ÷ 34
Answer:
First look at the two highest digits in the dividend, 92. This cannot be evenly divided by 34. So, round to the closest compatible number, 102.
102 ÷ 34 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
92099 ÷ 34 is about 3,000
Question 11.
678 ÷ 22
Answer:
First look at the two highest digits in the dividend, 67. This cannot be evenly divided by 22. So, round to the closest compatible number, 66.
66 ÷ 22 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored one place values in original dividend. So, add one zero to the estimated quotient.
678 ÷ 22 is about 30
Question 12.
6578 ÷ 34
Answer:
First look at the two highest digits in the dividend, 65. This cannot be evenly divided by 34. So, round to the closest compatible number, 68.
68 ÷ 34 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
6578 ÷ 34 is about 200
Question 13.
789 ÷ 28
Answer:
First look at the two highest digits in the dividend, 78. This cannot be evenly divided by 28. So, round to the closest compatible number, 84.
84 ÷ 28 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored one place values in original dividend. So, add one zero to the estimated quotient.
789 ÷ 28 is about 30
Question 14.
4591 ÷ 17
Answer:
First look at the two highest digits in the dividend, 45. This cannot be evenly divided by 17. So, round to the closest compatible number, 51.
51 ÷ 17 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
4591 ÷ 17 is about 300
Question 15.
7777 ÷ 44
Answer:
First look at the two highest digits in the dividend, 77. This cannot be evenly divided by 44. So, round to the closest compatible number, 88.
88 ÷ 44 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored two place values in original dividend. So, add two zeros to the estimated quotient.
7777 ÷ 44 is about 200
Question 16.
456 ÷ 7
Answer:
First look at the two highest digits in the dividend, 45. This cannot be evenly divided by 7. So, round to the closest compatible number, 49.
49 ÷ 7 = 7
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored one place values in original dividend. So, add one zero to the estimated quotient.
456 ÷ 7 is about 70
Question 17.
96291 ÷ 31
Answer:
First look at the two highest digits in the dividend, 96. This cannot be evenly divided by 31. So, round to the closest compatible number, 93.
93 ÷ 31 = 3
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
96291 ÷ 31 is about 3,000
Question 18.
91111 ÷ 47
Answer:
First look at the two highest digits in the dividend, 91. This cannot be evenly divided by 47. So, round to the closest compatible number, 94.
94 ÷ 47 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
91111 ÷ 47 is about 2,000
Question 19.
69103 ÷ 41
Answer:
First look at the two highest digits in the dividend, 69. This cannot be evenly divided by 41. So, round to the closest compatible number, 82.
82 ÷ 41 = 2
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
69103 ÷ 41 is about 2,000
Question 20.
13401 ÷ 11
Answer:
First look at the two highest digits in the dividend, 13. This cannot be evenly divided by 11. So, round to the closest compatible number, 11.
11 ÷ 11 = 1
Next, add placeholder zeros to the estimated quotient for the place values we ignored in the original dividend. Here we ignored three place values in original dividend. So, add three zeros to the estimated quotient.
13401 ÷ 11 is about 1,000