Adding decimals
Line up the decimal points: ones under ones, tenths under tenths. From the same number of decimal places to mixed places and three addends, with the zeros that even them out shown in red.
Start over?
Teaching Guide: Column Operations with Decimals
This free decimal worksheet generator makes column addition, subtraction, multiplication and long division with decimals for Grades 4 to 7. Every operation is drawn on a 4 mm grid with the decimal point on the corner of its square, so each place value stays in its column, and the answer key shows the zeros added, the regrouping and where the point goes in the answer.
Subtracting decimals
The first number is filled in with zeros when it has fewer decimal places (45.3 − 12.78 → 45.30 − 12.78), also when it is a whole number (50 → 50.00).
Multiplying decimals
Factors are lined up on the right like whole numbers, and the product has as many decimal places as both factors together. The answer key highlights zeros added on the left (0.25 × 0.3 = 0.075).
Dividing decimals
Decimal dividends, decimal quotients by adding zeros, decimal divisors (multiplying by 10 or 100) and quotients to hundredths with their remainder.
Set out or on one line
Choose whether each operation is already set out in columns or written on one line for students to set out, so they also practise lining up the decimal point.
Step-by-step answer key
Carries in red, partial products and division steps in blue, added zeros in red and trailing zeros of the product in grey, for quick marking.
Frequently Asked Questions about Decimal Operations
Which grade are decimal operations for?
Adding and subtracting tenths and hundredths usually starts in Grade 4; multiplying decimals and dividing a decimal by a whole number follow in Grade 5, and decimal divisors and quotients to a given number of decimal places in Grade 6. Grade 7 reviews them all. The levels follow that order.
Where does the decimal point go on the grid?
The point sits on the bottom-right corner of the ones square, not in a square of its own. That way every column always holds the same place value (ones, tenths, hundredths) and in addition and subtraction all the points line up.
How do you divide by a decimal?
Multiply the dividend and the divisor by 10, 100… (one zero per decimal place of the divisor); the quotient does not change: 7.56 ÷ 1.2 = 75.6 ÷ 12. The sheet leaves a line to write that equivalent division and the answer key says what both numbers were multiplied by.
What is the remainder when the quotient goes to hundredths?
It is worth what the last digit brought down is worth: in 25 ÷ 7 = 3.57 one hundredth is left, that is 0.01. Check it: 7 × 3.57 + 0.01 = 25. The answer key writes it next to the quotient.
How do I save the worksheet as a PDF?
Add the operations you want, click “Print” and choose “Student worksheet”, “Answer key” or “Worksheet and answer key”. In your browser's print window choose “Save as PDF”, at 100% scale and portrait orientation.
More worksheet generators you may like
Order of Operations
Order of operations worksheets with brackets, nested brackets, powers, roots and negative numbers, with exact results and an answer key that does one operation per line.
Times Tables
A4 worksheets for the tables you choose: complete the table, shuffled facts, missing factors, multiplication grids and division facts, in three levels with an answer key.
Math Operations
Generate high-density A4 printable worksheets (15-20 problems per sheet) with regrouping addition, borrowing subtraction, multi-digit multiplication, long division, and square roots.