Distributive property
Rewrite this expression as a sum 3 (4 + 5)
12 + 15
What is the greatest common factor of 12 and 16?
4
"A gardener plants flowers every 4 days and vegetables every 6 days. How often does he plant both on the same day?"
Do you need to find LCM or GCF to solve this problem?
LCM - Least Common Multiple
Is 45 divisible by 3?
yes
What is the least common multiple of 4 and 6?
12
Use the distributive property and the GCF to rewrite this expression as product: 10 + 15
5 (2 + 3)
Find the greatest common factor of 24 and 36.
12
Sarah has 12 apples and 18 oranges. What is the greatest number of fruit baskets she can make without cutting any fruit? Answer in a complete sentence.
Sarah can make 6 fruit baskets.
What is the rule for determining if a number is divisible by 2?
If the number is even. Ending in (0, 2, 4, 6 or 8)
What is the least common multiple of 3 and 8?
24
Are these two expressions equivalent:
2(6 + 7) and 12 + 14
yes
What is the greatest common factor of 30 and 45?
15
Two friends run around a track at the same time. One completes a lap every 2 minutes, and the other every 3 minutes. When will they meet again at the starting point? Answer in a complete sentence.
LCM (2, 3) = 6
The two friends will meet again at the starting point in 6 minutes.
Is 87 divisible by 6? Explain why or why not.
What is the least common multiple of 8 and 12?
48
42 + 24
Calculate the greatest common factor of 20, 30, and 40.
10
There are 45 students in the art club and 30 students in the music club. What is the largest number of equal-sized groups the students can be divided into? Answer in a complete sentence.
GCF (45, 30 ) = 15
The largest number of equal-sized groups the students can be divided into is 15.
What is the rule for determining if a number is divisible by 9? Give an example.
If the sum of the digits is divisible by 9 then the whole number is divisible by 9. {(Ex.18) 1 + 8 = 9 so 18 is divisible by 9}
Calculate the least common multiple of 9 and 18.
18
Rewrite this sum as a product with the GCF them find it's value:
60 + 48
product --> 12 (5 + 4)
Value --> 108
If two numbers are 28 and 42, what is their greatest common factor?
Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the marks line up again? Answer in a complete sentence.
LCM (24, 40) = 120
24 x 5 = 120
40 x 3 = 120
The gears will line up when the first gear has rotated 5 times.
Determine if 3,474 is divisible by 6. Explain how you know.
3 + 4 + 7 + 4 = 18 which is divisible by 3 and 3,474 is even so it's divisible by 2. That means it's divisible by 6.
What is the least common multiple of 5, 10, and 15
30