GCF, LCM
What is the LCM (least common multiple) of 6 and 4?
Answer: 12
Multiples of 6: 6,12,18,24
Multiples of 4: 4,8,12,16,20 --> 12 shows up first on both lists.
Evalue the following division facts
12 / 3 =
36/6 =
48/6 =
Answers: 4,6,8
12 / 3 = 4
36/6 = 6
48/6 = 8
What is the opposite of 4?
Answer: -4
Opposites have opposite signs (+/-)
Order these numbers from least to greatest:
0,-3,6,-1
Answer: -3, -1,0,6
The larger a negative number, the more negative it is.
What does the E mean in PEMDAS?
Answer: Exponents!
x2 --> EXPONENT
What is the GCF (greatest common factor) of 16 and 48?
Answer: 16
Factors of 16: 1,2,4,8,16
Factors of 48: 1,2,3,4,6,8,12,16,24,48
16 is the largest number that is shown on the list.
Evaluate:
26 divided by 8?
Answer: 3.25
3.25 x 8 = 26
What is the absolute value of -3.5 or
l -3l ?
Answer: 3.5
Absolute value is the distance away from zero an integer is
Order from least to greatest:
1/2, -1/4, -1/2, 1/3
Answer: -1/2, -1/4, 1/3, 1/2
Evaluate:
(2+4)2 - 1
Answer: 35
P: 2+4 = 6
E: 62 = 36
S: 36 -1 = 35
What is the least common multiple of 9 and 12?
Answer: 36
Multiples of 9: 9,18,27,36
Multiples of 12: 12,24,36
36 shows on the list first!
Divide: 3.48/1.5
Answer: 2.32
1.5 x 2.32 = 3.48
What is the value of the expression: (-2)(5)(-3)?
Answer: 30
-2 x 5 = -10
-10 x -3 = + 30
Order from Least to Greatest:
-2.25, 0, .25, 1.5, -2 1/2, -1/4
Answer:
-2 1/2, -2.25, -1/4, 0, .25, 1.5
Evaluate:
[16 - (4-2)2 ] + 6(2)
Answer: 24
P: [16 - (4-2)2 ] = 12
M: 6 x 2 = 12
A: 12 + 12 = 24
What is the greatest common factor of 54 and 32?
GCF: 2
Factors of 32: 1,2,4,8,16,32
Factors of 54:1,2,3,6,9,18,27,54
2 is the greatest number that shows up in both lists
Evaluate:
156 / 25
Answer:6.24
6.24 x 25 = 156
Which of the three numbers have the greatest absolute value?
A. -15
B. -9
C. 10
Answer: A
Absolute value of -15 is 15!
Absolute value of -9 is 9.
Absolute value of 10 is 10.
Order from Least to Greatest:
1/8, -1/2, .5, 2.75, - 4/5, 0
Evaluate:
(102 / 4 + 5) - 33 + 8
Answer: 11
P : (102 / 4 + 5) = 100/4 = 25 + 5 = 30
E: 33 = 27
S: 30 - 27 = 3
A: 3 + 8 = 11
Explain in your own words:
How do I find the GCF of two numbers?
AND
How do I find LCM of two numbers?
Answer:
GCF can be found by listing the factors of each number and finding the greatest number that shows up in both lists.
LCM can be found by listing the multiples of each number and finding the number that shows up first in both lists.
Divide:
43.488 /1.2 =
Answer: 36.24
Change divisor by moving the decimal:
434.88/12 = 36.24
Multiply the following values together:
(The opposite of 7) x (The absolute value of -6) x - 1
opposite of 7 = -7
Absolute value of -6 = 6
-7 x 6 = -42 x -1 = 42!
Order from Least to Greatest:
-3, 2 1/4, -3.25, 2.5,- 3 2/3, 2 3/4
Answer:
-3 2/3, -3.25, -3, 2 1/4, 2.5, 2 3/4
Evaluate:
(2.3 + 23 - 5) + 7(2.5+1.5) - 6
Answer: 27.3
P: (2.3 + 23 -5) = 23 = 8 +2.3 = 10.3 -5 = 5.3
(2.5+ 1.5) = 4
M: 7(4) =28
A: 5.3 + 28 =33.3
S: 33.3 - 6 = 27.3