In this Grade 4 Eureka Math lesson, students learn to add tenths and hundredths by applying fraction equivalence to convert unlike units into like units, for example renaming 3 tenths as 30 hundredths before adding. Students use area models and place value charts to build understanding of why tenths must be converted to hundredths before the fractions can be combined. This lesson from Chapter 32 connects prior knowledge of fraction equivalence and mixed number addition to working with decimal fractions.
Section 1
The 'Like Units' Rule for Adding and Subtracting Fractions
To add numbers, they must represent the same kind of unit.
For fractions, this means they must have a common denominator.
We can only add fractions once they are in the form .
If denominators are different, we must first find equivalent fractions that share a common denominator.
Section 2
Tenths and Hundredths Equivalence
To convert a fraction from tenths to hundredths, multiply both the numerator and the denominator by 10. This is based on the equivalence that 1 tenth equals 10 hundredths.
Section 3
Add Hundredths and Express the Sum
To add fractions with a common denominator of 100, add the numerators and keep the denominator the same. The resulting fraction can be written as an equivalent decimal.
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Section 1
The 'Like Units' Rule for Adding and Subtracting Fractions
To add numbers, they must represent the same kind of unit.
For fractions, this means they must have a common denominator.
We can only add fractions once they are in the form .
If denominators are different, we must first find equivalent fractions that share a common denominator.
Section 2
Tenths and Hundredths Equivalence
To convert a fraction from tenths to hundredths, multiply both the numerator and the denominator by 10. This is based on the equivalence that 1 tenth equals 10 hundredths.
Section 3
Add Hundredths and Express the Sum
To add fractions with a common denominator of 100, add the numerators and keep the denominator the same. The resulting fraction can be written as an equivalent decimal.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter