Place Value Sums

Place Value Sums teaches students to add decimals by breaking each number apart according to place value. Students rewrite each decimal in expanded form, add matching ones, tenths, and hundredths, and then write the answer in standard form. The worksheet strengthens expanded notation, decimal place value, addition, regrouping, number decomposition, and standard-form writing. It is a strong choice for students in grades 4-6 who need to understand what is happening inside the decimal addition algorithm instead of memorizing steps without meaning.

Targeted Skills

• Write expanded form: Students separate each number into ones, tenths, and hundredths.
• Add matching place values: Learners combine quantities from the same decimal position.
• Regroup when necessary: Students recognize when ten hundredths become one tenth or ten tenths become one whole.
• Return to standard form: Children recombine the place-value parts into a correctly written decimal sum.

Instructional Support

• Builds strong number sense: Students see decimals as a collection of place-value amounts rather than one long number.
• Makes regrouping easier to understand: Breaking numbers apart helps children see where carried values come from.
• Supports parent guidance: Adults can ask, “How many ones? How many tenths? How many hundredths?”
• Works across settings: The page fits classroom instruction, guided practice, homework, tutoring, or homeschool review.
• No-prep design: Teachers and parents can print the worksheet and begin immediately.

Expanded form helps students understand why decimal addition works. A number such as 3.45 is really 3 ones, 4 tenths, and 5 hundredths, so each part should be combined with the same type of part in the second addend. This makes decimal alignment feel logical rather than like an arbitrary rule. As learners complete the worksheet, they strengthen place-value fluency, number decomposition, decimal addition, regrouping, standard notation, and confidence. In classroom and homeschool settings, this practice provides a strong foundation for estimation, subtraction, multiplication with decimals, and real-world work with money and measurement.