The Correct Answer and Explanation is:
The correct answer is 600 thousandths.
To determine which option is equal to the decimal number 0.6, we must understand decimal place value and how to convert between word form, fractions, and decimals. The number 0.6 represents six-tenths, which can be written as the fraction 6/10. Our goal is to find the option that simplifies to this same value. Let’s analyze each choice.
The first option is “600 thousandths”. The term “thousandths” indicates a fraction with a denominator of 1000. Therefore, 600 thousandths can be written as the fraction 600/1000. To see if this is equal to 0.6, we can simplify the fraction. We can divide both the numerator (600) and the denominator (1000) by 100. This simplification gives us 6/10. The fraction 6/10 is, by definition, equal to the decimal 0.6. Alternatively, we can write 600 thousandths as a decimal directly. Since the thousandths place is the third position after the decimal point, 600 thousandths is written as 0.600. In decimal numbers, trailing zeros after the last non-zero digit do not change the value of the number. Thus, 0.600 is equivalent to 0.60, which is also equivalent to 0.6. This confirms the first option is correct.
Let’s examine the other options to see why they are incorrect.
“60 thousandths” translates to the fraction 60/1000. When written as a decimal, this is 0.060, which simplifies to 0.06. This value is not equal to 0.6.
“6 hundredths” translates to the fraction 6/100. As a decimal, this is written as 0.06. This is also not equal to 0.6.
“6 thousandths” translates to the fraction 6/1000. As a decimal, this is written as 0.006. This is clearly not equal to 0.6.
Therefore, “600 thousandths” is the only choice that is numerically equivalent to 0.6.
