Question

What is 5.23 x 10^-3 written in standard notation?

A. 0.00523
B. 0.0523
C. 0.523
D. 5,230

Answer 1

In this case, with an exponent of -3, the decimal point in 5.23 moves three places to the left, resulting in the value 0.00523. Therefore, The correct option is A. 0.00523 because, in standard notation, when the exponent is negative, it signifies a shift of the decimal point to the left.

Step-by-step explanation:

The given number,
`5.23 x 10^-3`, can be expressed in standard notation as 0.00523. To understand this conversion, let's break down the components of the scientific notation. The base number, 5.23, is multiplied by 10 raised to the power of -3. In scientific notation, a negative exponent indicates that we move the decimal point to the left. In this case, since the exponent is -3, we move the decimal point three places to the left. Therefore, the final standard notation is 0.00523.

To illustrate the conversion step by step:

1. Start with the base number: 5.23.

2. Multiply it by 10 raised to the power of -3, which means moving the decimal point three places to the left.

3. The result is 0.00523, giving us the standard notation.

In summary, the correct choice is A. 0.00523, as it accurately represents the given number in standard notation by accounting for the power of 10 and the corresponding shift of the decimal point.