Rounding

Rounding a number means replacing it with an approximate value that has a shorter, simpler, or more explicit representation. When we round a number, we are reducing the number of digits it contains. The rules for rounding numbers are typically based on the value of the digit to the right of the digit being rounded.

Rules for Rounding:

1. Rounding to a Specific Place Value: - Identify the digit in the place value to which you are rounding. - Look at the digit to the right of the identified place value. - If the digit to the right is 5 or more, round up. If it is less than 5, round down.2. Rounding to the Nearest Whole Number: - Look at the digit to the right of the decimal point. - If the digit is 5 or more, round up. If it is less than 5, round down.3. Rounding to the Nearest Tens, Hundreds, Thousands, etc.: - Identify the digit in the place value to which you are rounding. - Look at the digit to the right of the identified place value. - Follow the same rule as rounding to a specific place value.

Examples:

1. Rounding 347 to the nearest tens: - The digit in the tens place is 4. - The digit to the right of the tens place is 7, which is 5 or more, so we round up. - Therefore, 347 rounded to the nearest tens is 350.2. Rounding 6.78 to the nearest whole number: - The digit to the right of the decimal point is 7, which is 5 or more, so we round up. - Therefore, 6.78 rounded to the nearest whole number is 7.

Study Guide:

Understand the concept of place value and how it applies to rounding.
Practice identifying the digit in the place value to which you are rounding.
Learn to determine whether to round up or down based on the digit to the right of the identified place value.
Practice rounding numbers to the nearest whole number, tens, hundreds, and thousands.
Learn to apply the rounding rules to both whole numbers and decimals.