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# 1. Convert 354 quarter into dimes

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1. Convert 354 quarter into dimes

2. Convert 52 quarter into dollars

3. Convert 35 quarter into nickels

4. Convert 75 quarter into pennies

Oct 2, 2018

#1
+4296
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1. \$1 equals 4 quarters or 10 dimes. So, we have the conversion factor of 10/4. Thus, 10/4*354=885 dimes.

2. 1 dollar equals 4 quarters, 52 quarters equals 52/4=13 dollars.

3. \$1 equals 4 quarters or 20 nickels. Therfore, a conversion factor is 20/4=5. Thus, 35*5=175 nickels.

4. 1 quarter equals 25 pennies, so 75 quarters equal 1875 pennies.

Oct 2, 2018
#2
+18439
+2

With dimensional analysis :

354 q   x   2.5 d/q  = 885 d    (see how the q's cancel out?....and you are left with d's ?)

52 q  x  do/4q = 13 do

35 q x  5 n/q =175  n

75 q x 25 p/q =1875 p

Using dimensional analysis makes large conversions or complex equations easier to visualize (and figure out how to solve) and find the resultant 'units'   ....... believe me, in engineering and physics and complex math there are some CRAZY big formulas and equations to calculate......and units ARE VERY IMPORTANT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!    There have been rockets/satellites/shuttles fail due to incorrect units etc used in the calculations.  (My soapbox.....without units answers are only partially correct!   )

Oct 2, 2018