Section 1
Divide by 0.1 by Finding the Number of Tenths
Property
Dividing a number by is equivalent to finding the total number of tenths in that number. This is based on the place value relationship that whole is equal to tenths.
In this Grade 5 Eureka Math lesson from Chapter 25, students learn to connect division by unit fractions to division by 1 tenth and 1 hundredth by rewriting decimal expressions like 7 ÷ 0.1 as fraction division problems such as 7 ÷ 1/10. Students practice reasoning about how many tenths or hundredths are in a whole number, building on prior work with dividing whole numbers by unit fractions. The lesson strengthens understanding of place value relationships and lays the groundwork for fluent division with decimal fractions.
Section 1
Divide by 0.1 by Finding the Number of Tenths
Dividing a number by is equivalent to finding the total number of tenths in that number. This is based on the place value relationship that whole is equal to tenths.
Section 2
Divide by 0.01 Using Place Value
Dividing a number by is equivalent to finding the total number of hundredths in that number. This is the same as dividing by the unit fraction or multiplying by 100.
Expand to review the lesson summary and core properties.
Section 1
Divide by 0.1 by Finding the Number of Tenths
Dividing a number by is equivalent to finding the total number of tenths in that number. This is based on the place value relationship that whole is equal to tenths.
Section 2
Divide by 0.01 Using Place Value
Dividing a number by is equivalent to finding the total number of hundredths in that number. This is the same as dividing by the unit fraction or multiplying by 100.