To solve these expressions, let's take them one by one:
- (−24.3):(4.5−4.5×(−0.8)):(−0.25)
Step 1: First, let's calculate the expression inside the first set of parentheses:
4.5−4.5×(−0.8)=4.5+3.6=8.1
Step 2: Now, divide -24.3 by 8.1:
−24.3÷8.1=−3
Step 3: Finally, divide -3 by -0.25:
−3÷(−0.25)=12
So, the solution to the first expression is 12.
- 9.57×(−0.4+6.07)−6.07×(9.57−0.4)
Step 1: Inside the first set of parentheses:
−0.4+6.07=5.67
Step 2: Inside the second set of parentheses:
9.57−0.4=9.17
Step 3: Perform the multiplications and subtractions:
9.57×5.67−6.07×9.17=54.3009−55.5359
Step 4: Subtract the two results:
54.3009−55.5359=−1.235
So, the solution to the second expression is −1.235.
- −3.8:(273+73×(−2.5))−29519
Step 1: Inside the second set of parentheses:
73×(−2.5)=−77.5=−1.07142857143 (approx)
Step 2: Inside the first set of parentheses:
273+(−77.5)=717−77.5=717−7.5=79.5
Step 3: Divide -3.8 by 79.5:
−3.8÷79.5=−3.8×9.57
Step 4: Simplify the division:
−3.8×9.57=−3.8×0.73684210526 (approx)
Step 5: Perform the multiplication:
−3.8×0.73684210526=−2.8 (approx)
Step 6: Subtract 29519 from the result:
−2.8−29519=−2.8−95199
Step 7: Convert −2.8 to a fraction with a common denominator of 95:
−2.8=−2−108=−2−5040=−2−5040=−2−108=−2108=−254=−510−54=−514
Step 8: Subtract 95199 from −514:
−514−95199
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