5. Let a andb represent Whole numbers. State what must be true about a &b and give an example. a) If LCM ( a, b) = a• b, then what must be true about a & b? For Ex: LCM ( 8, 15 ) = . You choose another example LCM ( b) If GCF ( a, b) = a, then what must be true about a & b? For Ex: GCF (8, 24) = You choose another example GCF (12,24)=12 %3D

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Let a and b represent Whole numbers. State what must be true about a & b and give an example.
a) If LCM ( a, b) = a•b then what must be true about a & b?
For Ex: LCM ( 8, 15) =
You choose another example LCM (
) =
b) If GCF (a, b) = a, then what must be true about a & b?
For Ex: GCF ( 8, 24 ) =8
You choose another example GCF ( 12,24) = 12
6. Carla's car gets 36 mpg and Bill's truck gets 20 mpg. They follow each other on a trip and both use a whole
number of gallons of gas.
a) What is the shortest possible distance
they each traveled? (provide units)
b) How many gallons of gas did
Carla's car use? (provide units)
c) How many gallons of gas did
Bill's truck use? (provide units)
or prine Faeturzatiun
7. Lisa is making gift baskets. She has 12 coloring books, 28 markers, and 36 crayons. What is the
CCF Set inosection
GCF
GCF
greatest number of baskets she can make if each toy is equally distributed among the baskets?
How many of each supply will go into the baskets?
baskets each with:
books
markers
crayons
8. 4 alarms went off today starting at 5 a.m. The red alarm sounded every 8 minutes, the blue
alarm sounded every 10 minutes, the green alarm sounded every 12 minutes, and the black
alarm sounded every 18 minutes. Darla, who sleeps soundly, finally awoke when they all went
off simultaneously. What is the earliest that she awoke?
9. Kelly is in 3rd grade and she is confused by all of the letters abbreviating the math concepts, especially
LCM and GCF. The one that says 'greatest' is usually a smaller number than the one that says 'least'.
How would you explain this? (Keep it short and concise!)
Transcribed Image Text:5. Let a and b represent Whole numbers. State what must be true about a & b and give an example. a) If LCM ( a, b) = a•b then what must be true about a & b? For Ex: LCM ( 8, 15) = You choose another example LCM ( ) = b) If GCF (a, b) = a, then what must be true about a & b? For Ex: GCF ( 8, 24 ) =8 You choose another example GCF ( 12,24) = 12 6. Carla's car gets 36 mpg and Bill's truck gets 20 mpg. They follow each other on a trip and both use a whole number of gallons of gas. a) What is the shortest possible distance they each traveled? (provide units) b) How many gallons of gas did Carla's car use? (provide units) c) How many gallons of gas did Bill's truck use? (provide units) or prine Faeturzatiun 7. Lisa is making gift baskets. She has 12 coloring books, 28 markers, and 36 crayons. What is the CCF Set inosection GCF GCF greatest number of baskets she can make if each toy is equally distributed among the baskets? How many of each supply will go into the baskets? baskets each with: books markers crayons 8. 4 alarms went off today starting at 5 a.m. The red alarm sounded every 8 minutes, the blue alarm sounded every 10 minutes, the green alarm sounded every 12 minutes, and the black alarm sounded every 18 minutes. Darla, who sleeps soundly, finally awoke when they all went off simultaneously. What is the earliest that she awoke? 9. Kelly is in 3rd grade and she is confused by all of the letters abbreviating the math concepts, especially LCM and GCF. The one that says 'greatest' is usually a smaller number than the one that says 'least'. How would you explain this? (Keep it short and concise!)
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