Simplify:
3/5 x 13.65 - 2/9 x 1.307
When I work this problem I get:
7.899555556
_
Would that be: 7.89
(or)
_
7.8995
The answer depends upon the order of operations, which must be clarified with parentheses and brackets. What you calculated is
[(3/5) x 13.65)] - [(2/9) x 1.307)
If you had calculated
[(3/5 - 13.65)- 2/9)] - 1.307,
you would have obtained a completely different answer.
You should round your answer to 4 significant figures, to match the accuracy of the decimal terms. That would make it 7.900
To simplify the expression properly, let's break it down step by step:
Step 1: Simplify the multiplication of fractions
3/5 x 13.65 = (3 x 13.65) / 5 = 40.95 / 5 = 8.19
2/9 x 1.307 = (2 x 1.307) / 9 = 2.614 / 9 = 0.29044 (rounded to five decimal places)
Step 2: Subtract the results obtained from step 1
8.19 - 0.29044 = 7.89956
Step 3: Round the final result to the desired number of decimal places
Since the original numbers provided have four decimal places, it would make sense to round the final result to the same level of precision.
Rounding 7.89956 to four decimal places gives us 7.8996.
So, the simplified answer is 7.8996, rounded to four decimal places.