Final answer:
The student's inquiry pertains to evaluating mathematical expressions, involving arithmetic operations and scientific notation, which are dealt with by following the order of operations and applying the rules for significant figures and scientific notation expression.
Step-by-step explanation:
The student asks to find the value of each expression provided. One reasonable interpretation is that the student is expected to solve mathematical equations and perform certain operations. Two common operations related to such expressions involve using scientific notation and calculating the result of numerical expressions, which often requires an understanding of the order of operations, algebraic manipulation, and number theory.
As an example, to calculate an expression like 1.5^2 - (4/2), one would first square 1.5 to get 2.25, then subtract the result of (4/2), which is 2, ending up with a final result of 0.25.
Since the student provided several examples, let's assume one of them is scientific notation. When it comes to scientific notation, there usually are rules for maintaining the correct number of significant figures and for expressing the solution in proper scientific notation format.
One example is 456 × (7.4 × 10^8), which should be calculated as:
- Multiply 456 by 7.4 to get 3374.4.
- Recognize that 7.4 × 10^8 is scientific notation and implies that we need to move the decimal point 8 places to the right in the number 7.4, which will make its value 740,000,000.
- Multiplying 3374.4 by 740,000,000 results in a number that must be expressed back in scientific notation.