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Sagot :
a. We have to factor out the GCF from the given expression.
So we find the factors of each number as follows -
factors of 24 = 2 x 2 x 2 x 3
factors of 36 = 3 x 3 x 2 x 2
the GCF = 3 x 2 x 2 = 12
Hence, we can write the expression as 12( 2 + 3).
b. We can express (15 + 30) as a multiple of a sum of whole numbers with no common factor as follows-
Finding the GCF of each of the numbers 15 and 30, we get,
GCF of 15 and 30 is 15.
Now, we will take 15 common from the given expression (15 + 30)
Hence, we can write the expression as 15(1 + 2)
c. To find the lcm of the numbers 3, 6, and 9
Let's find the multiples of each number as follows -
multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24.
multiples of 6 = 6, 12, 18, 24
multiples of 9 = 9, 18, 27, 36
The least common multiple = 18
Hence, the lcm of the numbers 3, 6, and 9 is 18.
d. We are given the following information.
Tiles: 504, 44, 288, 200, 108, 84.
Pairs: 22 and 4, 27 12 and 36, 9 8 and 7, 32 24 and 18, 25 and 8, 14 and 12
To find the least common multiple we have to find the multiples of each of the numbers and then pick out such a number that is the common multiple of all the given numbers and also the smallest among the common multiples.
We can pair the above numbers as follows-
27, 12, and 36 = 108
22 and 4 = 44
14 and 12 = 84
25 and 8 =200
9, 8, and 7 = 504
32, 24, and 18 = 288
e. We can write each expression as a multiple of a sum of whole numbers with no common factor
First, we will find the GCF of each of the numbers.
Then, we will take GCF common from the given expressions and write the expression as a multiple of a sum of whole numbers with no common factor. Hence, we will get,
- (18 + 36 + 27) = 9 (2+4+3)
- (88 + 66 + 22) = 22 (4+3+1)
- (36 + 96 + 12) = 12 (3+8+1)
- (126 + 28 + 14) = 14 (9+2+1)
- (54 + 81 + 27) = 27 (2+3+1)
- (16 + 28 + 48) = 4 (4+7+12)
Read more about the GCF:
brainly.com/question/25266622
#SPJ4
The complete question is -
a. what is the result of factoring out the GCF from the expression (24 + 36)?
b. how can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
c. select the correct answer. what is the lcm of the numbers 3, 6, and 9?
a. 9 b. 18 c. 36 d. 54;
d. Match each set of numbers with their least common multiple
Tiles:504 44 288 200 108 84
Pairs: 22 and 4, 27 12 and 36, 9 8 and 7, 32 24 and 18, 25 and 8, 14 and 12
e. represent each expression as a multiple of a sum of whole numbers with no common factor
- (18 + 36 + 27) =
- (88 + 66 + 22) =
- (36 + 96 + 12) =
- (126 + 28 + 14) =
- (54 + 81 + 27) =
- (16 + 28 + 48) =
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