Write 5.3×10~1 as a ordaniry number
The Correct Answer and Explanation is:
To convert the scientific notation (5.3 \times 10^1) into an ordinary number, you need to understand how scientific notation works. The number in scientific notation is composed of two parts: the coefficient (which is (5.3) in this case) and the exponent (which is (1)). The exponent indicates how many places to move the decimal point in the coefficient.
Here are the steps to convert (5.3 \times 10^1) into an ordinary number:
- Identify the Coefficient: The coefficient is (5.3).
- Understand the Exponent: The exponent (1) tells you to move the decimal point (1) place to the right.
- Move the Decimal Point: Start with (5.3), which has a decimal point right after the (3): (5.3 \to 5.3.). Moving the decimal one place to the right gives you (53).
Thus, (5.3 \times 10^1) equals (53) when expressed as an ordinary number.
Explanation of Scientific Notation
Scientific notation is a shorthand way to express very large or very small numbers, making them easier to read and work with. The general form of scientific notation is (a \times 10^n), where:
- (a) is a number greater than or equal to (1) and less than (10).
- (n) is an integer that tells you how many places to move the decimal point.
When (n) is positive, you move the decimal point to the right, which increases the value of the number, reflecting larger quantities. Conversely, if (n) were negative, you would move the decimal point to the left, resulting in a smaller number.
For example, in the case of (5.3 \times 10^1), the (1) indicates that the coefficient should be multiplied by (10) once, hence the movement to the right increases the original number to (53). This notation is especially useful in fields like science and engineering, where very large or small measurements are common, allowing for a more compact representation of significant figures. Thus, understanding and converting scientific notation is an essential skill for dealing with quantitative data.