The Correct Answer and Explanation is:
The correct answer is 7.521895.
To round the number 7.5218954559 to the nearest millionth, you must follow a clear, step-by-step process based on place value.
First, it is essential to identify the millionths place. In a decimal number, the place values to the right of the decimal point are tenths, hundredths, thousandths, ten-thousandths, hundred-thousandths, and then millionths. This means the millionth place is the sixth digit after the decimal point. In the number 7.5218954559, let’s locate this position:
- The first digit, 5, is in the tenths place.
- The second digit, 2, is in the hundredths place.
- The third digit, 1, is in the thousandths place.
- The fourth digit, 8, is in the ten-thousandths place.
- The fifth digit, 9, is in the hundred-thousandths place.
- The sixth digit, 5, is in the millionths place. This is the digit we will be rounding.
The next step is to examine the digit immediately to the right of the millionths place. This digit determines whether we round our target digit up or leave it as it is. In the number 7.5218954559, the digit to the right of the millionths place is 4.
The universal rule of rounding states that if the digit to the right is 5 or greater (5, 6, 7, 8, or 9), you must round the target digit up by one. If the digit to the right is 4 or less (4, 3, 2, 1, or 0), you keep the target digit the same.
In this case, the deciding digit is 4. Since 4 is less than 5, we will not change the digit in the millionths place. The 5 in the millionths place remains a 5.
Finally, we write the rounded number by keeping all the digits from the beginning up to the millionths place and dropping all the digits that come after it. Thus, the number 7.5218954559, when rounded to the nearest millionth, becomes 7.521895.
