Final answer:
Using a=8 and b=24, the values of the expressions are a+b= 32, ab= 192, b/a= 3, and (a+b)²= 1024. For scientific notation, move the decimal point to create one non-zero digit on the left and multiply by the corresponding power of 10.
Step-by-step explanation:
To solve the expressions using a = 8 and b = 24, follow these steps:
- a + b: Simply add the two numbers together.
- ab: Multiply the values of a and b together.
- b/a: Divide the value of b by a.
- (a+b)²: First, add a and b together, then square the result.
Now let's calculate:
- a + b = 8 + 24 = 32
- ab = 8 × 24 = 192
- b/a = 24 ÷ 8 = 3
- (a+b)² = (8+24)² = 32² = 1024
As for expressing numbers in scientific notation, the key is to adjust the decimal point to have one non-zero digit to its left, and multiply by a power of 10 that shifts the decimal point back to its original position.