Write each number in scientific notation. 0.0083

Verified step by step guidance

1. Identify the original number: 0.0083.
2. Recall that scientific notation expresses a number as \(a \times 10^{n}\), where \(1 \leq |a| < 10\) and \(n\) is an integer.
3. To write 0.0083 in scientific notation, move the decimal point to the right until you have a number between 1 and 10. Count how many places you move the decimal.
4. Since you move the decimal 3 places to the right, the exponent \(n\) will be negative 3.
5. Express the number as \(8.3 \times 10^{-3}\).

Key Concepts

Scientific Notation

Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It simplifies handling very large or very small numbers by using exponents to indicate the decimal shift.

Decimal Place Movement

Converting to scientific notation involves moving the decimal point to create a number between 1 and 10. The number of places moved determines the exponent on 10, positive if moved left, negative if moved right.

Negative Exponents

When the original number is less than 1, the exponent in scientific notation is negative. This indicates the decimal point was moved to the right to form the coefficient between 1 and 10.