Lesson 1 - Rounding with Decimals

Front

What is rounding in mathematics?

Back

Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to what it was. It often involves increasing or decreasing the last digit based on the value of the digits that follow it.

Front

What does it mean to round to the nearest tenth?

Back

Rounding to the nearest tenth means adjusting a number so that it has one digit after the decimal point. If the digit in the hundredths place is 5 or greater, the tenths place is increased by one; if it is less than 5, the tenths place remains the same.

Front

How do you round 47.941 to the nearest tenth?

Back

To round 47.941 to the nearest tenth, look at the hundredths place (4). Since 4 is less than 5, you keep the tenths place (9) the same, resulting in 47.9.

Front

What is the process for rounding to the nearest cent?

Back

Rounding to the nearest cent involves looking at the third decimal place (thousandths). If it is 5 or greater, you round up the second decimal place (hundredths) by one; if it is less than 5, you leave the hundredths place unchanged.

Front

How do you round $7.8693 to the nearest cent?

Back

To round $7.8693 to the nearest cent, look at the third decimal place (9). Since 9 is greater than 5, you round up the hundredths place (6) to 7, resulting in $7.87.

Front

What does it mean to round to the nearest hundredth?

Back

Rounding to the nearest hundredth means adjusting a number so that it has two digits after the decimal point. You look at the thousandths place to determine whether to round up or keep the hundredths place the same.

Front

How do you round 43.827 to the nearest hundredth?

Back

To round 43.827 to the nearest hundredth, look at the thousandths place (7). Since 7 is greater than 5, you round up the hundredths place (2) to 3, resulting in 43.83.

Front

What is the significance of the digit in the place value immediately to the right when rounding?

Back

The digit in the place value immediately to the right determines whether to round up or keep the current digit the same. If it is 5 or greater, you round up; if it is less than 5, you do not change the current digit.

Front

How do you round 5.592 to the nearest hundredth?

Back

To round 5.592 to the nearest hundredth, look at the thousandths place (2). Since 2 is less than 5, you keep the hundredths place (9) the same, resulting in 5.59.

Front

What is the general rule for rounding numbers?

Back

The general rule for rounding numbers is: if the digit to the right of the place value you are rounding to is 5 or greater, round up; if it is less than 5, round down.