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What is 13.074 rounded to the nearest tenth?
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The Correct answer and Explanation is:
To round the number 13.074 to the nearest tenth, we need to focus on the digit in the tenths place and the digit immediately to the right of it (the hundredths place).
- Identify the relevant digits:
- The tenths place is the first digit to the right of the decimal point. In 13.074, this is 0.
- The hundredths place is the second digit to the right of the decimal point. In 13.074, this is 7.
- Rounding rule:
- When rounding to the nearest tenth, if the digit in the hundredths place (the second digit after the decimal) is 5 or greater, we round up the tenths place by one. If it is less than 5, we leave the tenths place as is.
- Apply the rule:
- Since the hundredths digit (7) is greater than 5, we round the tenths digit (0) up by one.
- Calculate the result:
- The tenths digit increases from 0 to 1.
- Final result:
- Therefore, 13.074 rounded to the nearest tenth is 13.1.
In summary, rounding is a process used to simplify numbers while maintaining their value as closely as possible. By focusing on specific digits and applying established rules, we can arrive at a rounded figure that is easier to work with in practical scenarios, such as estimations in calculations, reporting data, or making comparisons. Understanding how to round correctly is essential in various fields, including finance, science, and everyday decision-making. In this case, rounding 13.074 to 13.1 allows us to express the number in a more manageable form while retaining its significance.