For the following, write your list in increasing order, separated by commas. a, List the first 10 multiples of 8. b. LIst the first 10 multiples on 12. c. Of the lists you produced in parts a. and b., list the multiples that 8 and 12 have in common. d. From part c., what is the smallest multiple that 8 and 12 have in common.

Question
Discrete math
asked 2020-11-10
For the following, write your list in increasing order, separated by commas.
a, List the first 10 multiples of 8.
b. LIst the first 10 multiples on 12.
c. Of the lists you produced in parts a. and b., list the multiples that 8 and 12 have in common.
d. From part c., what is the smallest multiple that 8 and 12 have in common.

Answers (1)

2020-11-11
Step 1
a. The first 10 multiples of 8 are as follows.
\(\displaystyle{8}\times{1}={8}\)
\(\displaystyle{8}\times{2}={16}\)
\(\displaystyle{8}\times{3}={24}\)
\(\displaystyle{8}\times{4}={32}\)
\(\displaystyle{8}\times{5}={40}\)
\(\displaystyle{8}\times{6}={48}\)
\(\displaystyle{8}\times{7}={56}\)
\(\displaystyle{8}\times{8}={64}\)
\(\displaystyle{8}\times{9}={72}\)
\(\displaystyle{8}\times{10}={80}\)
The first 10 multiples of 8 are \(\displaystyle{8},{16},{24},{32},{40},{48},{56},{64},{72},{80}\).
Step 2
b. The first 10 multiples of 12 are as follows.
\(\displaystyle{12}\times{1}={12}\)
\(\displaystyle{12}\times{2}={24}\)
\(\displaystyle{12}\times{3}={36}\)
\(\displaystyle{12}\times{4}={48}\)
\(\displaystyle{12}\times{5}={60}\)
\(\displaystyle{12}{t}{i}{m}{e}{6}={72}\)
\(\displaystyle{12}\times{7}={84}\)
\(\displaystyle{12}\times{8}={96}\)
\(\displaystyle{12}\times{9}={108}\)
\(\displaystyle{12}\times{10}={120}\)
The first 10 multiples of 12 are \(\displaystyle{12},{24},{36},{48},{60},{72},{84},{96},{108},{120}.\)
c. From the lists in part a and b, the common multiples of 8 and 12 in the list are \(\displaystyle{24},{48},{72}.\)
d. From part c, the smallest multiple that 8 and 12 have in common is 24.
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