Final answer:
The correct answer is Option B. The value of 37.58 x 10² is 3,758. Scientific notation is a method used to easily represent large or small numbers by placing the decimal after the first non-zero digit and using powers of ten.
Step-by-step explanation:
The value of 37.58 x 10² is calculated by moving the decimal point two places to the right, as the exponent on the 10 indicates the number of places to move the decimal in a positive direction (to the right for positive exponents). This results in the value 3,758.
Scientific notation is a way to express numbers that are too large or too small to be conveniently written in decimal form. For example:
- To convert 456 × (7.4 × 10⁸) using a calculator, you would multiply these numbers and then express the result in proper scientific notation.
- The expression (3.02 × 10⁵) (9.04 × 10¹⁵) requires multiplication, and again the answer should be expressed in scientific notation.
- When converting numbers like 637.8 or 0.00032 to scientific notation, you place the decimal after the first non-zero digit and count the number of places the decimal has moved as the exponent on the 10.