Checky correctly converted $\frac{37}{100}$ to a decimal. What is the place value of the digit 1 in the decimal he obtains?
Answer (2)
Convert the fraction 100 37 to a decimal, which results in 0.37.
Identify the place values in the decimal: 3 is in the tenths place and 7 is in the hundredths place.
Observe that the digit 1 does not appear in the decimal representation.
Conclude that the digit 1 is not present in the decimal 0.37.
Explanation
Problem Analysis We are given the fraction 100 37 and asked to find the place value of the digit 1 in its decimal representation.
Converting to Decimal First, we convert the fraction 100 37 to a decimal. Dividing 37 by 100, we get 0.37.
Identifying Place Values Now, we identify the place values of the digits in the decimal 0.37. The digit 3 is in the tenths place, and the digit 7 is in the hundredths place.
Finding the Digit 1 Since the digit 1 does not appear in the decimal representation 0.37, there is no place value to determine for the digit 1.
Final Answer Therefore, the digit 1 does not appear in the decimal representation of 100 37 .
Examples
Understanding place values is crucial in everyday life. For instance, when dealing with money, knowing place values helps in accurately calculating expenses or savings. If you have $0.37, this means you have 3 dimes (tenths place) and 7 pennies (hundredths place). This concept extends to larger numbers, helping you manage budgets, investments, and understand financial statements.
The fraction 100 37 converts to the decimal 0.37. The digits present are 3 and 7, and the digit 1 does not appear in this decimal. Therefore, there is no place value for the digit 1.
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