6.56−(5.56−7.5)−(4.2−7.89):
First, solve the innermost parentheses:
5.56−7.5=−1.94
4.2−7.89=−3.69
Now, substitute these values back into the expression:
6.56−(−1.94)−(−3.69)
When you subtract a negative number, it becomes addition:
6.56+1.94+3.69
Now, add the numbers:
6.56+1.94+3.69=12.19
So, the result is 12.19.
−(5.23−2.5)−(−4.23+10):
Solve the innermost parentheses:
5.23−2.5=2.73
−4.23+10=5.77
Now, substitute these values back into the expression:
−2.73−5.77
Subtract the numbers:
−2.73−5.77=−8.5
So, the result is −8.5.
−(774−1031)−(−874+331):
First, convert the mixed fractions to improper fractions:
774=751
1031=331
874=760
331=310
Now, substitute these values back into the expression:
−(751−331)−(−760+310)
Now, calculate the expressions inside the parentheses:
−(751−331)=−(21153−21217)=−21153−217=−21−64=2164
−(−760+310)=−(−21180+2170)=−21180−70=−21110
Now, subtract the two results:
2164−21110=2164−110=21−46
So, the result is 21−46.