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October 23, 2014

October 23, 2014

Posted by **Luke** on Tuesday, September 1, 2009 at 11:15pm.

When you multiply a whole number by a whole number the result is a larger number. When you multiply fractions the result is a smaller number.

- algebra -
**Seth**, Tuesday, September 1, 2009 at 11:35pmThink of it as multiplying the fraction by a whole number. One third three times is 1. The order in which you look at multiplication does not matter, the results are the same. 3x(1/3)=1 and (1/3)x3=1

- algebra -
**MathMate**, Wednesday, September 2, 2009 at 8:47amIt is because MOST fractions are smaller than 1. So when you multiply fractions together, they get smaller. On the other hand, ALL integers (except 0) are greater than or equal to 1 (in absolute value), so the product tends to be bigger.

Examples that support what you observe:

2*2=4, 3*2=6,

(1/2)*4=2, (1/2)*(1/4)=1/8

Examples that contest what you observe:

2*0 = 0, 3*1=3 (not bigger)

(4/3)*6=8, (8/3)*(9/4)=6

Hope that answers your question.

- algebra -
**Anonymous**, Wednesday, September 2, 2009 at 6:30pmIf RS=8y+T,ST=4y+8, and RT=15y-9, find the value of y

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