What is the short-hand method of expressing a number as a value between 1 and 10 multiplied by a power of ten?

What is the short-hand method of expressing a number as a value between 1 and 10 multiplied by a power of ten?

• A. Decimal Notation
• B. Binary Notation
• C. Exponential Notation
• D. Scientific Notation

Answer: (D)

This is scientific notation: a number written as a value between 1 and 10 times a power of ten. The idea is to place the decimal so there is a single nonzero digit to the left of it, then attach the appropriate power of ten. This makes it easy to compare magnitudes and perform quick arithmetic by adjusting the exponent while keeping the significant digits the same. For example, 0.0036 becomes 3.6 × 10^-3, and 680,000 becomes 6.8 × 10^5. Decimal notation shows every digit in place; binary notation uses base-2; exponential notation can refer to expressions like a^n rather than a mantissa with a ten-based exponent. The described method precisely matches scientific notation.

This is scientific notation: a number written as a value between 1 and 10 times a power of ten. The idea is to place the decimal so there is a single nonzero digit to the left of it, then attach the appropriate power of ten. This makes it easy to compare magnitudes and perform quick arithmetic by adjusting the exponent while keeping the significant digits the same. For example, 0.0036 becomes 3.6 × 10^-3, and 680,000 becomes 6.8 × 10^5. Decimal notation shows every digit in place; binary notation uses base-2; exponential notation can refer to expressions like a^n rather than a mantissa with a ten-based exponent. The described method precisely matches scientific notation.