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All 4th Grade topics

4th Grade Place Value and Base Ten Word Problems Worksheets

Imaginesis: printable 4th Grade Place Value and Base Ten worksheets for the United States (Common Core) — Adding and Subtracting in Columns, Multiplying Multi-Digit by 1-Digit Numbers in Columns, Multiplying Multi-Digit Numbers in Columns: word problems with hints, answer keys and step-by-step solutions as PDF, also as a test in groups A–D.

Make a 4th Grade worksheet Multiple-choice test

Sample word problems

Work it out using the column method.

43,445 + 19,872 = □

Answer: 63,317

Work it out using the column method.

5405 × 4 = □

Answer: 21,620

Work it out using the column method.

433 × 31 = □

Answer: 13,423

Skills in this topic

Adding and Subtracting in Columns

Students learn to fluently add and subtract multi-digit whole numbers using the standard column method.

4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

In fourth grade, children build fluency with adding and subtracting multi-digit whole numbers. They set up problems vertically by place value—lining up ones, tens, hundreds, and thousands—and work from right to left to find sums and differences using the standard algorithm.

Mistakes most often happen during regrouping. When adding, children frequently forget to add the carried digit into the next column. When subtracting, regrouping across one or more zeros can be confusing, leading students to subtract the smaller top digit from the larger bottom digit rather than borrowing properly across places.

Practice tasks are presented in templates such as Add using the column method and Subtract using the column method. In these exercises, multi-digit calculations are already stacked in columns, giving children clear space to show their regrouping steps and write their final answers.

Multiplying Multi-Digit by 1-Digit Numbers in Columns

Children learn to multiply whole numbers of up to four digits by a single-digit number using a vertical column layout.

4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

In fourth grade, students learn to multiply whole numbers of up to four digits by a one-digit number using a vertical column layout. Working from right to left, they multiply the single-digit multiplier by the ones, tens, hundreds, and thousands, using place-value understanding to record each step.

A frequent mistake happens during regrouping (carrying). Children often add the carried digit before multiplying the next digit instead of multiplying first and adding the regrouped amount after. Another common error is simply forgetting to add the carried digit at all once the primary multiplication step is finished.

On printable worksheets from the Multiply by a one-digit number (columns) template, tasks are presented as pre-formatted vertical problems. Students write regrouped values neatly above the appropriate column and record the final product below the line.

Multiplying Multi-Digit Numbers in Columns

Children learn to multiply up to four-digit numbers by a single digit and multiply two two-digit numbers using vertical column setups.

4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

In fourth grade, children learn to multiply a whole number of up to four digits by a one-digit number (such as 2,415 × 3) and multiply two two-digit numbers (such as 34 × 27). Working in vertical columns helps them track place value as they multiply each digit and combine the resulting partial values into a final answer.

A typical error occurs when multiplying two two-digit numbers: children often forget the placeholder zero when multiplying by the tens digit. When this zero is skipped, the second value shifts into the ones column instead of the tens column, distorting the place value and leading to an incorrect total sum. Carrying errors are also common, such as adding a carried tens digit before completing the multiplication step.

Worksheet tasks using the Multiply multi-digit numbers (columns) template present these problems stacked vertically with plenty of working space. Children calculate each step row by row, keeping ones, tens, and hundreds neatly aligned before adding them together.

Dividing by a 1-Digit Number with Remainders

Children learn to divide numbers up to four digits by a single-digit divisor using long division, finding both the whole-number quotient and the leftover remainder.

4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

In fourth grade, children solve division problems with dividends up to four digits and one-digit divisors, finding a whole-number quotient along with any leftover remainder. They work through multi-step division using their understanding of place value and the relationship between multiplication and division, breaking larger numbers down step by step.

A frequent error happens when a digit in the dividend is smaller than the divisor. Instead of placing a 0 in the quotient to hold that place value, children often skip straight to bringing down the next digit. This drops an entire place value from the answer (such as writing 14 instead of 104). Children may also underestimate a step and end up with a remainder that is larger than or equal to the divisor.

Practice tasks focus on long division by a one-digit number. Children work with standard division problems featuring two-, three-, or four-digit numbers divided by a single digit, practicing the routine of dividing, multiplying, subtracting, and recording the final remainder.

Topics in this grade