4th grade math worksheets

Four-digit addition is mostly about accuracy and neat alignment.

Four-digit subtraction practices borrowing across several places, including through zeros.

Each sheet asks every fact of the 6 times table from 6 × 0 to 6 × 12 in a random order, with factors sometimes swapped (for example 3 × 6) so students do not simply count up..

Each sheet asks every fact of the 7 times table from 7 × 0 to 7 × 12 in a random order, with factors sometimes swapped (for example 3 × 7) so students do not simply count up..

Each sheet asks every fact of the 8 times table from 8 × 0 to 8 × 12 in a random order, with factors sometimes swapped (for example 3 × 8) so students do not simply count up..

Each sheet asks every fact of the 9 times table from 9 × 0 to 9 × 12 in a random order, with factors sometimes swapped (for example 3 × 9) so students do not simply count up..

Each sheet asks every fact of the 11 times table from 11 × 0 to 11 × 12 in a random order, with factors sometimes swapped (for example 3 × 11) so students do not simply count up..

Each sheet asks every fact of the 12 times table from 12 × 0 to 12 × 12 in a random order, with factors sometimes swapped (for example 3 × 12) so students do not simply count up..

These drills include the 11 and 12 times tables, which are still expected in many schools (for example in England by the end of Year 4)..

This is the first step of the standard multiplication algorithm: multiply the ones, carry, then multiply the tens and add the carried digit.

Multiplying a three-digit number by a single digit involves carrying twice in a row, which is where students need practice keeping track of the carried digits..

Two-digit by two-digit multiplication introduces partial products: multiply by the ones digit, then by the tens digit (with a zero placeholder), then add.

These sheets extend division facts to the 11 and 12 times tables.

Each problem divides a three-digit number by a single digit and comes out exactly.

Every problem on these sheets leaves a remainder, written in the answer key as "R" (for example 47 R3).

Four-digit dividends add more cycles of the long division algorithm and frequently produce zeros in the quotient, a common source of errors..

Each fraction can be reduced, and the answer key gives it in lowest terms.

Students compare two fractions with different denominators, either by finding a common denominator or by cross-multiplying.

When denominators are the same, only the numerators are added.

Subtract the numerators and keep the denominator.

Multiply the whole number by the denominator, add the numerator, and keep the same denominator: 3 1/3 = (3 × 3 + 1)/3 = 10/3..

Divide the numerator by the denominator: the quotient is the whole number and the remainder is the new numerator.

Multiplying by 10, 100 or 1,000 moves every digit one, two or three places to the left.

Look at the tens digit to decide whether to round up or down.

Rounding larger numbers is useful for estimating sums and products.

Writing 4,072 as 4,000 + 70 + 2 makes place value visible, including the role of zero..

Amounts are written in dollars and cents, from $1.00 to $50.00, and lined up on the decimal point.

Each problem subtracts a smaller amount from a larger one, like working out the change after a purchase.

Every metric conversion multiplies or divides by 10, 100 or 1,000: 1 km = 1,000 m, 1 m = 100 cm, 1 cm = 10 mm, 1 kg = 1,000 g and 1 L = 1,000 mL.

US customary units use different factors: 1 ft = 12 in, 1 yd = 3 ft = 36 in, 1 lb = 16 oz, 1 gal = 4 qt, 1 qt = 2 pt and 1 pt = 2 cups.