Asked by Hailey 6th grade

1.Tasha believes that she can rewrite the difference 120-36 as a product of the GCF of the two numbers and another difference.Is she correct?Explain your answer.
2.Explain how to find the GCF of three numbers
3.Xiao's teacher asked him to rewrite the sum 60+90 as the product of the GCF of the two numbers and a sum. Xiao wrote 3(20+30). What mistakes did Xiao make? How should he have written the sum?
Answered by Steve
yes.
As long as the GCF is not 1, then since the GCF divides both numbers, it divides their difference.

For three numbers, extend the method as for two. Fins all the prime factors and their powers, and pick the highest power of each prime that appears in all three lists.

3 is not GCF(60,90)
Answered by Reiny
1.
Written in more "mathematically friendly language"

Factor fully:
120 - 36

= 12(10 - 3)

2.
- express each number in factored form
- Your GCF consists of the products of all the factors found in ALL three numbers

e.g. 60 , 84, and 150
60 = 2x2x3x5
84 = 2x2x3x7
150 = 2x3x5x5
GCF or HCF = 2x3 = 6

3.
See # 1.
Xiao's teacher is only confusing his/her students by this strange wording,
How about just asking to "factor fully"
60+90
= 30(2 + 3)

btw, Xiao did not make a mistake, she simply did not complete her solution.
What she had so far is correct.
Answered by William biffle
1 y es


2 múltiple one by one


3 there is no three
Answered by april
why are you using 150 in the second example isn't it supposed to be 120?
Answered by Behish
There where nine planets, then scientists has claimed that there is now eight planets because Pluto is a dwarf planet.
Answered by zaniya
Tasha believes that she can rewrite the difference 120-36 as a product of the Greatest common factor of the two numbers and another difference. Is she correct? Explain your answer.
Answered by Lucy martinez
1 yes, as long as the GCF is not 1.

( im not sure about 2)

3 there is no 3
Answered by ALEesha
Yes for Number 1
Answered by Levi
Hellooooooooo
Answered by Popularmmos
Helloooooooooooo
Answered by Anonymous
Yes because I like turtles
Answered by cate
I agree
Answered by fortnite
12
Answered by Johnny
this did not help me one bit. =(
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