Which decimal represents the value of 75 thousandths?

To determine which decimal represents 75 thousandths, it's essential to understand how decimal values correspond to fractional parts. The term "thousandths" indicates a division by 1,000. Therefore, 75 thousandths can be expressed as a fraction:

[

\frac{75}{1000}

]

To convert this fraction into decimal form, you divide 75 by 1000. Doing the division:

[

75 \div 1000 = 0.075

]

This shows that 0.075 is the decimal representation of 75 thousandths. Each of the digits in 0.075 corresponds to its position relative to the decimal point — the first digit after the decimal point represents tenths (0.0), the second digit represents hundredths (0.07), and the third digit represents thousandths (0.075).

In contrast, the other choices represent different values. For example, 0.0075 corresponds to 7.5 ten-thousandths, 0.75 represents 75 hundredths, and 0.005 denotes 5 thousandths. Therefore, recognizing these distinctions is crucial for interpreting decimal values correctly. Consequently, the correct answer is that 75 thousandths is represented