Study Island Copyright 2015 Edmentum - All rights reserved. Generation Date: 05/25/2015 Generated By: Matthew Beyranevand Students Entering Grade 6 Part 1 Explanations Explanations 1. -- 2. Since there are 1,000 milliliters in 1 liter, multiply 49 liters by 1,000 to convert to milliliters. 3. In this problem, 2 is in the hundredths place. The number in the thousandths place determines whether to round up or not. In this problem, 6 is in the thousandths place. Remember, if the number in the thousandths place is less than five, do not round up. If the number in the thousandths place is greater than or equal to five, round up. Therefore, the answer is 4.23. 4. -- 5. Since there are 1,000 meters in 1 kilometer, multiply 47 kilometers by 1,000 to convert to meters. 47 km 1,000 m /km = 47,000 m 6. A right isosceles triangle has a 90 angle and two sides equal in length. So, statements III and IV best describe a right isosceles triangle. 7. -- 8. The 5 in the hundredths place represents "0.05". The 5 in the place to its left represents "0.5". Since 0.5 times is 0.05, the 5 in the hundredths place represents of what the 5 to its left represents. 9. In this problem, 6 is in the tenths place. Look at the number in the hundredths place to determine whether to round up or not. In this problem, 6 is in the hundredths place. Remember, if the number in the hundredths place is less than five, do not round up. If the number in the
hundredths place is greater than or equal to five, round up. Therefore, the answer to this question is 1.7. 10. The 9 in the tens place represents "90". The 9 in the place to its left represents "900". Since 900 times is 90, the 9 in the tens place represents of what the 9 to its left represents. 11. -- 12. The 3 in the tenths place represents "0.3". The 3 in the place to its right represents "0.03". Since 0.03 times 10 is 0.3, the 3 in the tenths place represents 10 times what the 3 to its right represents. 13. An obtuse scalene triangle has one angle greater than 90 and no sides equal in length. So, statements III and IV best describe an obtuse scalene triangle. 14. Since there are 12 inches in 1 foot, multiply 4 feet by 12 to convert to inches. 4 feet 12 inches/foot = 48 inches 15. Since there are 1,000 meters in 1 kilometer, divide 28,000 meters by 1,000 to convert to kilometers. 28,000 m 1,000 m /km = 28 km 16. In this problem, 2 is in the ones place. Look at the number in the tenths place to determine whether or not to round up. In this problem, 3 is in the tenths place. Remember, if the number in the tenths place is less than five, do not round up. If the number in the tenths place is greater than or equal to five, round up. Therefore, 92.39 rounded to the nearest whole number is 92. 17. Since there are 12 inches in 1 foot, divide 24 inches by 12 to convert to feet. 24 inches 12 inches/foot = 2 feet 18. When an account is debited, money is taken out of the account. Therefore, a debit of $8 is represented as -$8. 19. In this problem, 3 is in the tenths place. Look at the number in the hundredths place to determine whether to round up or not. In this problem, 4 is in the hundredths place. Remember, if the number in the hundredths place is less than five, do not round up. If the number in the hundredths place is greater than or equal to five, round up.
Therefore, the answer to this question is 6.3. 20. When an account is debited, money is taken out of the account. Therefore, a debit of $7 is represented as -$7. 21. A loss of 3 yards in football means subtracting 3 yards from the starting yard line. Because these yards are being subtracted, a negative sign is used: -3. 22. -- 23. In this problem, 2 is in the hundredths place. The number in the thousandths place determines whether to round up or not. In this problem, 2 is in the thousandths place. Remember, if the number in the thousandths place is less than five, do not round up. If the number in the thousandths place is greater than or equal to five, round up. Therefore, the answer is 9.12. 24. Remember that each dot represents one bag. The table shows that 7 bags packed were of a pound. So, there should be 7 dots above of a pound. The table shows that 3 bags packed were of a pound. So, there should be 3 dots above of a pound. The table shows that 5 bags packed were of a pound. So, there should be 5 dots above of a pound. The table shows that 6 bags packed were of a pound. So, there should be 6 dots above of a pound. The dot plot that correctly shows this data is shown below.
25. Since there are 2 pints in 1 quart, multiply 9 quarts by 2 to convert to pints. 9 quarts 2 pints/quart = 18 pints 26. The number 100 has 2 zeros in it. To divide a decimal by 100, just move the decimal point 2 places to the left. 8.44 becomes 0.0844 8.44 100 = 0.0844 27. When an account is debited, money is taken out of the account. Therefore, a debit of $18 is represented as -$18. 28. The number 1,000 has 3 zeros in it. To divide a decimal by 1,000, just move the decimal 3 places to the left. 8.43 becomes 0.00843 8.43 1,000 = 0.00843 29. -- 30. To find the difference between the smallest and largest bottle, subtract the smallest bottle, L, from the largest bottle, L. Remember, to subtract fractions with like denominators, just subtract the numerators and leave the denominator the same. 31. To find out what integer represents 27 degrees below zero, subtract 27 from 0. 0-27 = -27 32. -- 33. Since there are 1,000 milliliters in 1 liter, divide 23,000 milliliters by 1,000 to convert to liters.
34. -- 35. -- 36. -- 37. -- 38. When an account is credited, money is added to the account. Therefore, a credit of $13 is represented as +$13. 39. Since there are 2 pints in 1 quart, divide 9 pints by 2 to convert to quarts. 40. -- 9 pints 2 pints/quart = 4.5 quarts 41. In this problem, 4 is in the ones place. Look at the number in the tenths place to determine whether or not to round up. In this problem, 2 is in the tenths place. Remember, if the number in the tenths place is less than five, do not round up. If the number in the tenths place is greater than or equal to five, round up. Therefore, 84.2 rounded to the nearest whole number is 84. 42. -- 43. -- 44. -- 45. -- 46. -- 47. Remember that each dot represents one turtle. The table shows that 7 turtles made it of a mile. So, there should be 7 dots above of a mile. The table shows that 3 turtles made it of a mile. So, there should be 3 dots above of a mile.
The table shows that 5 turtles made it of a mile. So, there should be 5 dots above of a mile. The table shows that 6 turtles made it of a mile. So, there should be 6 dots above of a mile. The dot plot that correctly shows this data is shown below. 48. -- 49. A temperature drop is a negative quantity, so 10 and 1 are incorrect. Since the temperature drop is 10 degrees, -10 is the correct answer. 50. The triangle has a right angle and no sides equal in length. So, the triangle is both I right and IV scalene. 51. The number 1,000 has 3 zeros in it. To multiply a decimal by 1,000, just move the decimal 3 places to the right. 3.64 becomes 3,640 3.64 1,000 = 3,640 52. -- 53. An eight-sided polygon is an octagon. 54. -- 55. -- 56. Remember that each dot represents one bottle. The table shows that 11 bottles were of gallon.
So, there should be 11 dots above of a gallon. The table shows that 9 bottles were of a gallon. So, there should be 9 dots above of a gallon. The table shows that 13 bottles were of a gallon. So, there should be 13 dots above of a gallon. The dot plot that correctly shows this data is shown below. 57. To find the combined length of the shortest and longest bat, add the length of the shortest bat, m, to the length of the longest bat, m. Remember, to add fractions with like denominators, just add the numerators and leave the denominator the same. 58. When an account is credited, money is added to the account. Therefore, a credit of $24 is represented as +$24. 59. An account balance below zero is a negative quantity, so 57 and 570 are incorrect. Since the account balance is $57 below zero, -57 is the correct answer. 60. --
61. -- 62. In this problem, 9 is in the tenths place. Look at the number in the hundredths place to determine whether to round up or not. In this problem, 3 is in the hundredths place. Remember, if the number in the hundredths place is less than five, do not round up. If the number in the hundredths place is greater than or equal to five, round up. Therefore, the answer to this question is 4.9. 63. Remember that each dot represents one bottle. The table shows that 6 bottles had of a liter of water in them. So, there should be 6 dots above of a liter. The table shows that 4 bottles had of a liter of water in them. So, there should be 4 dots above of a liter. The table shows that 5 bottles had of a liter of water in them. So, there should be 5 dots above of a liter. The dot plot that correctly shows this data is shown below. 64. To find the combined weight of the two cookies, add the weight of the heaviest cookie, oz, to the weight of the second heaviest cookie, oz. Remember, to add fractions with like denominators, just add the numerators and leave the denominator the same. 65. --
66. -- 67. To find out what integer represents 94 feet above zero, add 94 to 0. 0 + 94 = 94 68. To find the difference between the time it takes the slowest bird to flap its wings and the time it takes the fastest bird to flap its wings, subtract the time it takes the fastest bird, sec, from the time it takes the slowest bird, sec. Remember, to subtract fractions with like denominators, just subtract the numerators and leave the denominator the same. 69. -- 70. To find the difference between the greatest amount of time and least amount of time to complete the question, subtract the least amount of time, min, from the greatest, min. Remember, to subtract fractions with like denominators, just subtract the numerators and leave the denominator the same. 71. -- 72. Since there are 100 centimeters in 1 meter, divide 4,000 centimeters by 100 to convert to meters. 73. A depth below the ground is a negative quantity, so 9 and 90 are incorrect. Since the depth is 9 meters below the ground, -9 is the correct answer. 74. When an account is credited, money is added to the account. Therefore, a credit of $12 is represented as +$12. 75. -- 76. -- 77. A six-sided polygon is a hexagon.
78. In a parallelogram, opposite sides and opposite angles are congruent. Opposite sides are parallel. So, side LM is parallel to side NK. 79. In this problem, 3 is in the hundredths place. The number in the thousandths place determines whether to round up or not. In this problem, 2 is in the thousandths place. Remember, if the number in the thousandths place is less than five, do not round up. If the number in the thousandths place is greater than or equal to five, round up. Therefore, the answer is 2.43. 80. A gain of 6 yards in football means adding 6 yards to the starting yard line. Because these yards are being added, 6 is positive.