5th grade math worksheets

• Powers of 10 The exponent counts the tens: 10^3 means 10 × 10 × 10. Multiplying shifts digits left; dividing shifts them right.
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• 3-digit by 2-digit multiplication Multiply by the ones digit, then by the tens digit on a second line shifted left. Add the two lines.
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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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• 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 with two-digit divisors Estimate first: round the divisor to a friendly number like 20, guess the quotient digit, then multiply to check and adjust.
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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 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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• 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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• Decimal word problems Line up the decimal points before adding or subtracting. When you multiply or divide, do the whole-number math first, then place the decimal point last.
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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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• 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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• Percent word problems Percent means out of 100. To find a percent of a number, turn the percent into hundredths and multiply, or find 10% first and build from there.
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• Volume word problems Volume of a box is length times width times height. Multiply two sides to get the base layer, then count how many layers tall.
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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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Understanding fractions

• 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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Fraction operations

• Add and subtract unlike denominators Different bottoms can't add. Rename both fractions with the same denominator first, then add or subtract the tops.
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• Divide fractions If a mixed number appears, change it to an improper fraction first. Then ask how many times the second amount fits into the first.
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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 Change mixed numbers to improper fractions first. Then multiply the tops, multiply the bottoms, and simplify.
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• Multiplying fractions with area models Complete each problem. Use the models and show your reasoning where asked.
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• Multiplication as scaling Complete each problem. Use the models and show your reasoning where asked.
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• Add & subtract decimals Line up the decimal points first, then add or subtract like whole numbers and bring the point straight down.
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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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• Dividing decimals Bring the decimal point straight up into your answer. If the number you're dividing by has a point, move both points right until it doesn't.
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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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• Multiplying decimals Multiply as if there were no decimal point, then count the decimal places in the problem and give your answer that many.
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• Rounding decimals Find the place you're rounding to, then look at the digit right after it: 5 or more rounds up, 4 or less stays.
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• Place value relationships Compare the values of the repeated digit. Complete each equation.
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• Percent of a number Percent means out of 100, so 50% is half, 25% is a quarter, and 10% means divide by 10.
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• Order of operations Work inside parentheses first, then any exponents, then multiply and divide, then add and subtract.
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• Writing numerical expressions Write each expression. Use grouping symbols where needed. Do not evaluate.
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• 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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• Coordinate plane In a coordinate pair, across comes first and up comes second. (3, 4) means go right 3, then up 4.
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• Coordinate plane lengths and areas Each grid square is 1 unit. Give coordinates as (x, y), lengths in units and areas in square units.
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• Volume of rectangular prisms Volume is length times width times height. Count the cubes in one layer, then stack the layers.
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• Volume with unit cubes Each small cube represents one cubic unit. Find each volume.
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• Volume of composite figures Find each volume. Show your work and include cubic units.
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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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• 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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