In Exercises 65–76, write each number in decimal notation without the use of exponents. 9.2×10^2

Verified step by step guidance

1. Identify the given number in scientific notation: $9.2\times {10}^2$.
2. Understand that ${10}^2$ means moving the decimal point 2 places to the right.
3. Start with the number 9.2 and move the decimal point 2 places to the right.
4. After moving the decimal point, fill in any empty decimal places with zeros if necessary.
5. Write the final number in decimal notation without exponents.

Key Concepts

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as a product of a number (the coefficient) and a power of ten. For example, in the expression 9.2×10^2, 9.2 is the coefficient, and 10^2 indicates that the coefficient should be multiplied by 100.

Decimal Notation

Decimal notation is the standard way of writing numbers using digits from 0 to 9, where the position of each digit represents a power of ten. Converting from scientific notation to decimal notation involves calculating the value of the power of ten and multiplying it by the coefficient to express the number in a more familiar format.

Multiplication of Powers of Ten

When multiplying a number by a power of ten, you shift the decimal point to the right for positive exponents and to the left for negative exponents. In the case of 9.2×10^2, the exponent 2 indicates that the decimal point in 9.2 should be moved two places to the right, resulting in the decimal notation of 920.