Divide Decimals by 10 Using a Place Value Chart
Dividing a decimal by 10 shifts each digit one place to the right on the place value chart, making each digit’s value one-tenth of its original value. For example, 4.5 divided by 10 equals 0.45. This Grade 5 math skill from Eureka Math Chapter 13 covers partial quotients and multi-digit decimal division using place value charts.
Key Concepts
Property Dividing a decimal by 10 shifts each digit one place to the right on the place value chart. This means the value of each digit becomes one tenth of its original value. For example, $5.2 \div 10 = 0.52$.
Examples To solve $4.5 \div 10$ on a place value chart, the 4 in the ones place moves to the tenths place, and the 5 in the tenths place moves to the hundredths place. The result is $0.45$. To solve $3.0 \div 10$ on a place value chart, the 3 in the ones place moves to the tenths place. The result is $0.3$. To solve $27.6 \div 10$ on a place value chart, the 2 in the tens place moves to the ones place, the 7 in the ones place moves to the tenths place, and the 6 in the tenths place moves to the hundredths place. The result is $2.76$.
Explanation A place value chart visually represents the value of each digit in a number. When you divide a number by 10, you are making it 10 times smaller. This is shown on the chart by moving every digit one column to the right. For example, a digit in the ones place moves to the tenths place, and a digit in the tenths place moves to the hundredths place.
Common Questions
What happens when you divide a decimal by 10?
Dividing a decimal by 10 shifts every digit one place to the right on the place value chart, so the ones digit becomes the tenths digit, the tenths become hundredths, and so on.
How does a place value chart help when dividing by 10?
A place value chart visually shows each digit moving one column to the right when you divide by 10, making it clear how the value of each digit becomes one-tenth of its original value.
What is an example of dividing 27.6 by 10?
When dividing 27.6 by 10, the 2 moves from tens to ones, the 7 moves from ones to tenths, and the 6 moves from tenths to hundredths, giving the result 2.76.
Why does dividing by 10 shift digits to the right?
Dividing by 10 makes the number 10 times smaller, which means each digit moves to a place value that is 10 times smaller, which corresponds to one column to the right on the place value chart.