5th Grade Place Value and Base Ten Word Problems Worksheets

In grade 5, students add and subtract decimals to hundredths, such as 3.45 + 0.8 or 6.2 - 1.75. They use concrete models or drawings, such as place-value diagrams or money, and strategies based on place value. They also connect these strategies to a written method and explain their reasoning. The standard algorithm for multi-digit decimals is a grade 6 expectation, so grade 5 work focuses on understanding why the written method works.

A common mistake is lining up the last digits of the numbers instead of the decimal points. For example, when adding 3.7 and 0.45, a child who matches the rightmost digits adds tenths to hundredths and gets the wrong total. Keeping the decimal points in one vertical line keeps tenths with tenths and hundredths with hundredths.

Printable tasks in this area include Add decimals, Subtract decimals, Add masses written as decimals, and Decimals: the missing addend and Decimals: the missing number to subtract. Other tasks ask your child to judge a statement as true or false, such as Decimals: addition — true or false and Decimals: subtraction — true or false, or to pick the correct result, such as Decimals: addition — choose the result and Decimals: subtraction — choose the result. When checking answers, ask your child to say how they lined up the decimal points.

In grade 5, the standard asks children to multiply decimals to hundredths, such as 0.4 × 0.3 or 2.5 × 1.2. They should use concrete models or drawings and place value reasoning, and they should be able to explain why their method works. Fluent multiplication of multi-digit decimals with the standard algorithm is a grade 6 expectation, so it is not the target at this grade.

A common mistake is treating decimals like whole numbers and lining up the decimal points as if adding. Another frequent error is assuming that multiplying always makes a number bigger, which breaks down when a decimal less than 1 is involved. Children may also miscount the decimal places in the answer, so 0.4 × 0.3 comes out as 1.2 instead of 0.12.

Printable tasks in this area include Multiply decimals, Multiply a length by a number of pieces, Multiplying decimals: is the product larger?, Multiplying decimals: choose the result, and Multiplying decimals: true or false. The "is the product larger?" and "true or false" tasks ask children to reason about the answer before calculating, which helps them catch place value mistakes.

By the end of grade 4, the standards expect a child to multiply a whole number of up to four digits by a one-digit number, and to multiply two two-digit numbers, using place value and explaining the work with equations, rectangular arrays, or area models. In grade 5, the standard is to multiply multi-digit whole numbers fluently using the standard algorithm, which means working in columns quickly and accurately.

A common mistake is misaligning the columns or forgetting to shift a row over when multiplying by the tens digit. When a child multiplies by the tens digit of a two-digit number, that partial product has to start one place to the left, usually with a placeholder zero. If it is written directly underneath the ones-row, the place values are wrong and the final answer will be far off, even when each small multiplication is correct. Carrying errors are also frequent, because a child may write the carried digit in the wrong place or forget to add it.

On this skill, the printed worksheets include several task types. "Multiply multi-digit numbers (columns)" gives the full problem to solve in standard columns. "Written multiplication: the missing partial product" shows the partial work and asks the child to fill in the one row left blank. "Multiplying by a two-digit number: choose" and "Written multiplication: choose the partial product" ask the child to pick the correct partial product or setup from several options, which helps spot place-value errors before they become habits.