Answer:
When rounding a number, the place value determines whether the digit to the right of it should be rounded up or down. If the digit to the right is 5 or greater, the place value is rounded up. If the digit to the right is less than 5, the place value is rounded down.
When rounding a number, the digits to the right of the rounding place value are typically changed to zeros. This is done to maintain the value of the rounded number while preserving the place value significance of the digits being rounded. The zeros represent that those digits have been rounded and are no longer considered in the final rounded value.
For example:
If we have the number 3.456 and round it to the nearest tenth, the rounding place value is the tenths place. Since the digit in the hundredths place (5) is greater than or equal to 5, the rounding occurs upwards. The number becomes 3.5, with the digit in the tenths place representing the rounded value, and the digits to the right (6 and 5) changed to zeros.
If we have the number 7.942 and round it to the nearest whole number, the rounding place value is the ones place. The digit in the tenths place (4) is less than 5, so the rounding occurs downwards. The number becomes 8, with all digits to the right (9, 4, and 2) changed to zeros.
Changing the remaining numbers to zeros helps maintain the accuracy and clarity of the rounded value, indicating that those digits are not considered in the final rounded result.
Explanation: