4th grade math worksheets

• Place value & rounding to 1,000,000 Know the value of each digit. Round numbers to a given place.
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• Place value relationships Use the value of each repeated digit to complete the relationship.
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• Addition with regrouping Add the ones first. When they make ten or more, write the ones digit and carry the ten to the next column.
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• Multi-digit addition & subtraction Check the sign first, line up the ones on the right, then work one column at a time. Regroup whenever a column goes over ten or needs to borrow.
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• Subtraction with regrouping If the top digit is smaller, borrow: take one ten from the next column and add ten to the digit you are subtracting from.
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Multiplication

• 2-digit by 1-digit multiplication Multiply the ones first, carry if you need to, then multiply the tens and add the carry.
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• 3-digit by 1-digit multiplication Multiply each digit by the single digit, right to left, carrying as you go.
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• Double-digit multiplication Multiply by the ones digit, then by the tens digit on a new line shifted one place left. Add the two lines.
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• Multi-digit multiplication Break the problem into parts you know, multiply, then add the partial products. Regroup when a product is 10 or more.
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• Multiplication facts 0–12 Multiplication is repeated addition. When you know your times tables, you can solve problems quickly without counting on your fingers.
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• Multiplication mad minute Answer fast and in order. Skip one you are stuck on and come back at the end.
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• Multiplicative comparison Complete each equation. Think about what the unknown number represents.
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Division

• Division facts Division is sharing into equal groups. When there are leftovers we call them remainders.
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• Division with remainders Find the biggest fact that fits, then say what is left over. The leftover must be smaller than the number you divided by.
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• Long division Divide, multiply, subtract, bring down. Repeat until the digits run out, and whatever is left over is the remainder.
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• Long division with remainders Divide, multiply, subtract, bring down. When nothing is left to bring down, what remains is the remainder: write it as r.
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• Long division without remainders Divide, multiply, subtract, bring down. Repeat until nothing is left to bring down. Every answer here comes out even.
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Mixed operations

• Mixed operations review Read the sign before you touch the numbers. Every problem on this page could be add, subtract, multiply, or divide.
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• Addition & subtraction word problems Read the whole story before you pick a sign. Does it put amounts together, or take some away?
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• Area & perimeter word problems Decide what the story asks for first. Covering the inside is area. Going around the edge is perimeter.
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• Division word problems Look for a total being split into equal parts. Sharing fairly or making equal groups means divide.
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• Elapsed time word problems Find the times in the story, then count up from the earlier one. Jump to the next o'clock first, then add the extra minutes.
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• Fraction word problems When the pieces are the same size, add or subtract the tops and keep the bottom. To find a fraction of a number, divide by the bottom first.
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• Measurement word problems Look for the units in the story. Your answer needs a unit too, so write it every time.
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• Mixed operations word problems Read the whole story, find the question, and name the operation before you touch the numbers. Any of the four can show up.
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• Multiplication word problems Look for equal groups in the story. Same-size groups, counted in one move: that is multiplication.
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• Two-step word problems Solve each story. Choose bounds for the first answer, then explain your estimate or remainder check.
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• Interpreting remainders Solve each story. Choose bounds for the first answer, then explain your estimate or remainder check.
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• Multiplicative comparison word problems Solve each story. Choose bounds for the first answer, then explain your estimate or remainder check.
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• Factors & multiples Factors divide a number with nothing left over; multiples are what you get when you count by that number. Factors fit inside, multiples grow past.
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• Input-output tables One table, one rule: whatever the rule does to the first number, it does to every number.
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• Number patterns Find what changes from one number to the next. That rule tells you what comes after.
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• Prime & composite numbers A prime number has exactly two factors, 1 and itself. A composite number has more, and 1 is neither because it has only one.
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Understanding fractions

• Comparing fractions If the bottom numbers match, the bigger top wins. If the top numbers match, the smaller bottom wins, because fewer cuts means bigger pieces.
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• Equivalent fractions Multiply the top and the bottom by the same number, and the fraction keeps the same value.
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• Mixed numbers & improper fractions Divide the top by the bottom to turn 7/4 into wholes and leftovers. Multiply and add to go back the other way.
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• Simplifying fractions Divide the top and the bottom by the same number, and keep going until only 1 divides them both.
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• Equivalent fractions with models Complete each problem. Use the models and show your reasoning where asked.
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• Tenths and hundredths Complete each problem. Use the models and show your reasoning where asked.
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Fraction operations

• Add & subtract like denominators When the bottom numbers match, add or subtract the tops and keep the bottom the same.
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• Fraction of a number Divide by the bottom number to find one part, then multiply by the top to take that many parts.
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• Multiply fractions by whole numbers Multiply the whole number by the top of the fraction, and the bottom stays the same.
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• Comparing decimals Line up the decimal points and compare place by place from the left. Extra zeros on the end don't change a thing.
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• Decimal place value Each place to the right of the decimal point is ten times smaller: first tenths, then hundredths, then thousandths.
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• Fractions to decimals A fraction and a decimal can name the same amount: 3/4 and 0.75 are one number written two ways.
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Shapes

• Classifying quadrilaterals A shape can hold more than one name at once. Every square is also a rectangle, a rhombus, and a quadrilateral.
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• Classifying triangles A triangle gets its name from its angles or its sides. A square mark means a right angle, and matching ticks mean equal sides.
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• Lines of symmetry A line of symmetry is a fold line. Fold the shape there and the two halves match exactly.
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• Drawing lines of symmetry Draw one line of symmetry on each shape. More than one correct line may be possible.
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Lines & angles

• Classifying angles Compare every angle to a square corner: smaller is acute, an exact match is right, wider is obtuse, and a flat line is straight.
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• Lines, rays & segments Arrows mean the path never ends and dots mean it stops. Two arrows make a line, one arrow makes a ray, two dots make a segment.
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• Measuring angles Find the ray resting on 0 and count up from it. The long ticks are tens; the short tick halfway between two tens is 5 more.
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• Finding missing angles Find each missing angle. Think about complementary and supplementary angles.
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• Area & perimeter Area is the space inside a shape. Perimeter is the distance around the outside. For rectangles, area = length × width and perimeter = 2 × (length + width).
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• Converting customary units Going to a smaller unit means more of them, so multiply. Going to a bigger unit means fewer, so divide.
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• Elapsed time Count up from the start time. Jump to the next o'clock first, then add the minutes left to go.
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• Metric conversion Metric units trade in tens, hundreds, and thousands, so converting is just sliding the decimal point.
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• Line plots with fractions The ticks are the ruler and the Xs are the data. Every X is one measurement.
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• Making line plots Use the data to complete each line plot. Draw one dot for each measurement.
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