Final answer:
To solve −3.64⋅|−5.3|−1.53, calculate the absolute value of −5.3, which is 5.3, then multiply by −3.64 to get −19.292, and finally, subtract 1.53 to result in −20.822.
Step-by-step explanation:
You have presented a mathematical expression involving absolute value and multiplication: −3.64⋅|−5.3|−1.53. Let's solve this step by step:
- First, determine the absolute value of −5.3, which is 5.3 because absolute value represents the distance of a number from zero without considering direction.
- Next, multiply −3.64 by the absolute value you just calculated: −3.64 * 5.3.
- Once you have the result of that multiplication, subtract 1.53 from it to get the final answer.
Now performing the operations:
- −3.64 * 5.3 = −19.292
- −19.292 - 1.53 = −20.822
Therefore, the result of the given expression −3.64⋅|−5.3|−1.53 is −20.822.