Answer:
The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.
Step-by-step explanation:
Multiplication of a decimal by the nth power of 10:
In this case, the decimal point should be moved n units to the right.
Division of a decimal by the nth power of 10:
In this case, the decimal point should be moved n units to the left.
In this question:
We multiply the decimal 4.56 by 1000.
1000 is the 3rd power of 10, because [tex]10^3 = 1000[/tex]. So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.