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Chemistry Conversion

Chemistry
Tutor: None Selected Time limit: 1 Day

A block of metal measuring 3.0cm x 4.0cm x 5.0 cm has a mass of 470.0g

Sep 16th, 2014

Add 1 to 1 to get 2.
3cm2+1x4cx4c,470g

Add 1 to 2 to get 3.
3cm3x4cx4c,470g

Add 1 to 1 to get 2.
3c2+1mx4mx4m,470g

Add 1 to 2 to get 3.
3c3mx4mx4m,470g

Add 5 to 4 to get 9.
3cmx9cmcm,470g

Combine all similar variables in the expression.
3m3c3x9,470g

Arrange the variables alphabetically within the expression 3m3c3x9. This is the standard way of writing an expression.
3c3m3x9,470g

Since 3c3m3x9,470g contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for 3c3m3x9,470g
1: Find the GCF for the numerical part 3,470
2: Find the GCF for the variable part c3,m3,x9,g
3: Multiply the values together

Find the common factors for the numerical part:
3,470

There are no factors for 3.
No factors

There are no factors for 470.
3=No factors
470=No factors

The common factors for 3,470 are

The GCF for the numerical part is 1.
GCFNumerical=1

Next, find the common factors for the variable part:
c3,m3,x9,g

The factors for c3 are c⋅c⋅c.
c⋅c⋅c

The factors for m3 are m⋅m⋅m.
m⋅m⋅m

The factors for x9 are x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x.
x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x

The factor for g is g itself.
g

List all the factors for c3,m3,x9,g to find the common factors.
c3=c⋅c⋅c
m3=m⋅m⋅m
x9=x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
g=g

The common factor for the variables c3,m3,x9,g is 1.
1

The GCF for the variable part is
GCFVariable=

Multiply the GCF of the numerical part 1 and the GCF of the variable part 


1   Answer.


Sep 16th, 2014

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Sep 16th, 2014
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Sep 16th, 2014
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