Perform the following arithmetic operations and report the result to the proper number of significant figures: (120.45+45.1-32+100.23)*3.2

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

The given expression is:

[tex](120.45+45.1-32+100.23)\times 3.2[/tex]

[tex]\Rightarrow 233.78\times 3.2[/tex]

[tex]\Rightarrow 748.096[/tex]

In the given expression, 120.45 has 5 significant figures, 45.1 has 3 significant figures, 32 has 2 significant figures, 100.25 has 5 significant figures and 3.2 has 2 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

Thus, the answer will be [tex]7.5\times 10^2[/tex]