The number $5.320 \times 10^2$ in conventional notation is
A. 532.0
B. 53.20
C. 5.320
D. 0.005320
E. 0.5320
Answer (2)
To convert 5.320 × 1 0 2 to conventional notation, multiply 5.320 by 1 0 2 = 100 .
Multiplying by 100 moves the decimal point two places to the right.
5.320 × 100 = 532.0 .
The number in conventional notation is 532.0 .
Explanation
Understanding Scientific Notation We are given a number in scientific notation, 5.320 × 1 0 2 , and we want to convert it to conventional notation. Scientific notation is a way of writing very large or very small numbers in a compact form. In this case, we have 5.320 multiplied by 10 raised to the power of 2 .
Multiplying by 10^2 To convert from scientific notation to conventional notation, we need to multiply 5.320 by 1 0 2 . Since 1 0 2 = 100 , we have: 5.320 × 1 0 2 = 5.320 × 100
Moving the Decimal Point Multiplying a number by 100 is the same as moving the decimal point two places to the right. So, we move the decimal point in 5.320 two places to the right: 5.320 × 100 = 532.0
Final Answer Therefore, the number 5.320 × 1 0 2 in conventional notation is 532.0 .
Examples
Scientific notation is used in many fields, such as physics, astronomy, and chemistry, to represent very large or very small numbers. For example, the speed of light is approximately 3.0 × 1 0 8 meters per second, and the mass of an electron is approximately 9.11 × 1 0 − 31 kilograms. Converting between scientific and conventional notation helps us understand the magnitude of these numbers in a more intuitive way. Understanding scientific notation is also crucial in calculating distances in space or understanding the size of atoms.
To convert 5.320 × 1 0 2 to conventional notation, multiply by 100 , resulting in 532.0 . The correct choice is A .532.0 .
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