Answer:
−20.822
Step-by-step explanation:
The given expression is
[tex]-3.64\cdot |-5.3|-1.53[/tex]
An absolute function is defined as
[tex]|x|=\begin{cases}x & \text{ if } x\geq 0 \\ -x & \text{ if } x<0 \end{cases}[/tex]
It means [tex]|x|=|-x|=x[/tex]
Using the property of absolute function, the given expression can be written as
[tex]-3.64\cdot (5.3)-1.53[/tex]
BODMAS stands for Brackets, Order, Division, Multiplication, Addition and Subtraction.
According to BODMAS, first multiply first two terms.
[tex]-19.292-1.53[/tex]
[tex]-20.822[/tex]
Therefore, the value of given expression is −20.822.
