Final answer:
When a decimal is multiplied by a power of 10, the decimal point is shifted to the right by as many places as there are zeros in that power of 10. When 4.6 is multiplied by 1000, we shift the decimal point three positions to the right resulting in 4600.0 which is option a.
Step-by-step explanation:
The mathematics operation given in the question is a multiplication of a decimal number with an integer. In this case, '4.6' is being multiplied by '1000'. Remember, when a decimal number is multiplied by a power of 10 (such as 10, 100, 1000, etc.), the decimal point is shifted to the right by as many places as there are zeros in that power of 10. In this case, our power of 10 has three zeros, so we shift the decimal point in 4.6 three places to the right. This will give us 4600.0, which corresponds to option a) 4600.0.
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