Round each decimal to the given place value 0.234
The Correct Answer and Explanation is:
Rounded Answer:
Rounding 0.234 to the hundredths place gives: 0.23
Explanation:
Rounding is the process of simplifying a number while keeping it close to its original value. When you round a decimal, you reduce the number of digits after the decimal point based on a specific place value. In this case, we are rounding the number 0.234 to the hundredths place.
To understand how this works, let’s look at the place values:
- The digit 2 is in the tenths place.
- The digit 3 is in the hundredths place.
- The digit 4 is in the thousandths place.
When rounding to the hundredths place, we look at the digit immediately to the right of it, which is the thousandths place (the third digit after the decimal point). In 0.234, that digit is 4.
Here’s the rule for rounding:
- If the digit to the right is less than 5 (i.e., 0, 1, 2, 3, or 4), you keep the digit in the rounding place the same.
- If the digit to the right is 5 or more (i.e., 5, 6, 7, 8, or 9), you increase the rounding digit by 1.
Since the digit in the thousandths place is 4, which is less than 5, we do not round up. Instead, we keep the digit in the hundredths place the same and drop all digits after it.
Therefore, 0.234 rounded to the hundredths place becomes 0.23.
This process helps make numbers easier to work with while preserving their value as closely as possible. Rounding is often used in estimating, reporting measurements, and simplifying calculations in real-life situations like shopping, engineering, and science.
