2.1 and 2.2 Homework Answers
Regular #s 1, 3, 15, 34
1] 24, 48, 72, 96. LCM = 24
3] 77. LCM = 77
15] 24 days
34]
a. Aaron’s method does not always work. If there is a common factor,
you can’t use this method. For example: 6 and 9 (share a factor of 3).
The LCM is 18, not 54.
Ruth’s method does not always work. Her method only works if the smaller
number is a factor of the larger number. For example: 5 and 13 do not
share factors, the LCM = 65, not 13.
Walter’s method does not always work. Walter divided out the GCF of the
pair of numbers, which happened to be 2. For example: 12 and 24. 12 x
24 = 288. 288 ÷ 2 = 144. The LCM is 24. Since the GCF is 12, you would
need to divide by 12 to find the LCM.
b. Aaron’s method works when there are no common factors, or the
numbers are relatively prime.
Ruth’s method works when the smaller number is a factor of the larger.
Walter’s method works when the pair of numbers has a GCF of 2.
Accelerated #s 1, 3, 15, 34, 40, 41
1] 24, 48, 72, 96. LCM = 24
3] 77. LCM = 77
15] 24 days
34]
a. Aaron’s method does not always work. If there is a common factor,
you can’t use this method. For example: 6 and 9 (share a factor of 3).
The LCM is 18, not 54.
Ruth’s method does not always work. Her method only works if the smaller
number is a factor of the larger number. For example: 5 and 13 do not
share factors, the LCM = 65, not 13.
Walter’s method does not always work. Walter divided out the GCF of the
pair of numbers, which happened to be 2. For example: 12 and 24. 12 x
24 = 288. 288 ÷ 2 = 144. The LCM is 24. Since the GCF is 12, you would
need to divide by 12 to find the LCM.
b. Aaron’s method works when there are no common factors, or the
numbers are relatively prime.
Ruth’s method works when the smaller number is a factor of the larger.
Walter’s method works when the pair of numbers has a GCF of 2.
40. 4,995,000
41]
a. 2 hours it will travel 1,440 kilometers. In 6 hours it will travel 4,320
kilometers.
b. 6 hours it will travel 2,880 more kilometers than in 2 hours
c. In 4 hours it will travel twice as many kilometers as in 2 hours, or, 2,880
kilometers.