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Discuss whether Tevin's statement that 0.1575 is the same as 0.75 is accurate. Explain.

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Final answer:

Tevin's statement that 0.1575 is the same as 0.75 is not accurate; they represent different values (15.75% vs 75%) and this distinction is important in calculating proportions or percentages.

Step-by-step explanation:

The statement made by Tevin that 0.1575 is the same as 0.75 is not accurate. They are distinct decimal numbers representing different values. To further understand how each value is derived, we can take examples of rounding, converting fractions, and understanding decimal places. When multiplying and dividing by tens or powers of ten, we can simplify or expand decimal numbers, but this does not change the initial value of the number.

For example, 0.1575 could be rounded to 0.16 if we are rounding to two decimal places, whereas 0.75 would remain unchanged when rounded to the same number of decimal places. When we consider proportions or percentages, a value like 0.75 would represent 75% whereas 0.1575 would represent 15.75%. Hence, there is a clear difference between the two numbers when it comes to their value, proportion, and representation in decimal forms.

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