5th grade math worksheets

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Multi-digit multiplication

Grade 4–5

Multiply multi-digit whole numbers with the standard algorithm

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What to practice this year

The multi-digit algorithms get harder in a specific way: multiplication reaches three-digit by two-digit and beyond, and long division moves from a one-digit divisor to two. Sizing each sheet by digit length keeps the jump deliberate — a child who owns 3-digit by 1-digit meets 3-digit by 2-digit as one new step, not a wall.

Why these skills come next

Order of operations is the year's new idea, and it is really the first taste of algebraic structure: an expression has one agreed value, and parentheses can change what happens first. Because the point is the order rather than the arithmetic, the multiplication and division inside each expression stay small while the reasoning does the work.

Step 1 of 10

Sharpen the written methods

Larger multi-digit multiplication and long division, including a two-digit divisor.

Step 2 of 10

Fraction arithmetic

Unlike denominators, which is the year's real work, plus mixed numbers, simplifying and multiplying.

Step 3 of 10

Mixed numbers, both ways round

Converting between the two spellings, and the subtraction that needs a whole broken up.

Step 4 of 10

Decimals to thousandths

Read the places, then scale by powers of ten.

Step 5 of 10

Decimal arithmetic

Points lined up, one operation at a time — and the fraction each decimal is.

Step 6 of 10

New in grade 5

Evaluate expressions with parentheses and the order of operations.

Step 7 of 10

Measuring and converting

Both systems, and the direction the number moves when the unit changes.

Step 8 of 10

Word problems, three steps deep

Where the arithmetic is easy and holding the order is not.

Step 9 of 10

Reaching into grade 6

The greatest common factor and least common multiple of two or three numbers.

Step 10 of 10

If the year's work is easy

Three from the Challenge shelf: reasoning at this year's number size.