Question

The correct decimal representation of 6.453 × 10³ is:

1) 6,453
2) 0.006453
3) 6.5 × 10³
4) 6.453
5) none of the above

Answer 1

The correct decimal representation of 6.453 × 10³ is 6,453 by moving the decimal point 3 places to the right.

Step-by-step explanation:

The question asks us to convert the scientific notation 6.453 × 10³ into its decimal representation. In scientific notation, the exponent indicates by how many places we move the decimal point. Here, since we have 10 raised to the power of 3, we move the decimal point 3 places to the right. This transforms 6.453 into 6453. Therefore, the correct decimal representation of 6.453 × 10³ is 6,453, which corresponds to option 1).