3-digit by 2-digit long multiplication
Line up the ones and tens partial products, then add. Check each row on the worked key.
6 problems · worked answers · 1 student page + 1 key← All multiplication worksheets
TEACHER GUIDE / GRADE 5
Fifth grade multiplication worksheets.
Start with a six-question check across whole numbers, fractions and decimals. Use the worked key to choose what to teach next.
START HERE / QUICK CHECK
Fifth grade multiplication check
6 questions · US Letter · separate worked answer key
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TEACHER / MARK THE PAPER
Choose the next practice
Use the written work, including the explanation for the comparison. Leave any question you have not checked unmarked. Marks stay in this tab and clear when the questions change.
Practice packet
SCALING / TRY A QUESTION
Which expression is larger?
A length L is positive. Compare without finding either product.
TEACHING GOAL · 5.NBT.B.5
Multiply whole numbers in columns
Try aloud In 243 × 16, what does the second row contribute?
What to listen for
The 1 means one ten. The tens partial product is 2,430. The first row is 1,458 and the sum is 3,888. Use the area model to explain the two rows.
3-digit by 2-digit area models
Split each factor by place value. Each of the six boxes contributes to a partial product.
6 problems · worked answers · 1 student page + 1 key3-digit by 3-digit · Three partial products
Multiply three-digit factors in columns. Write a row for the ones, tens and hundreds, then add.
4 questions · three worked rows per problem · 1 student page + 1 key3-digit by 3-digit · Zeros in the multiplier
Decide which partial row is zero. Keep the hundreds row in place even when the tens digit is zero.
4 questions · three worked rows per problem · 1 student page + 1 keyCompare all three partial products on a three-digit by three-digit sheet.
Read the Common Core standard · 5.NBT.B.5 ↗TEACHING GOAL · 5.NF.B.4
Model and multiply fractions
Try aloud What does one half of two thirds of a unit square cover?
What to listen for
Partition one whole into sixths. Two of the six equal pieces overlap, so the product is two sixths or one third.
Area models · multiplying fractions
Shade rows and columns of a unit square. Count the overlap and simplify.
4 questions · separate worked key · 1 student page + 1 keyMultiply proper fractions · multiplying fractions
Start with the four model problems, then work with denominators up to 12.
8 questions · separate worked key · 1 student page + 1 keyProducts that need simplifying · multiplying fractions
Every product can be reduced. Half the problems also let you simplify a factor first.
8 questions · separate worked key · 1 student page + 1 keyFractions × whole numbers · multiplying fractions
Find a fraction of a whole number. Practise both integer and fractional answers.
8 questions · separate worked key · 1 student page + 1 keyMixed number × proper fraction · multiplying fractions
Rewrite one mixed factor, multiply and simplify. Check whether a fraction of the starting amount makes sense.
6 questions · separate worked key · 1 student page + 1 keyMultiply two mixed numbers · multiplying fractions
Rewrite both factors as improper fractions. Record the raw product, then give its simplest whole or mixed value.
6 questions · separate worked key · 1 student page + 1 keyFour parts of a mixed-number product · multiplying fractions
Split both mixed factors into whole and fractional parts. Fill four partial products, then add. Uses the first four questions from the two-mixed-number set.
4 questions · separate worked key · 1 student page + 1 keyTEACHING GOAL · 5.NF.B.5
Compare products by their multipliers
Try aloud A ribbon has positive length L. Which is longer, L × 5/4 or L? Can you tell without measuring?
What to listen for
Five fourths is one whole and one extra fourth. Multiplying the same positive length by more than one makes it longer. Ask what changes if the factor is 4/4 or 3/4.
Compare products without calculating
Compare multiples of the same positive length. Explain your choice from the multipliers, including equivalent fractions.
6 comparisons · explain the scale factor · 1 student page + 1 keyTEACHING GOAL · 5.NBT.B.7
Multiply decimals using place value
Try aloud Should 0.6 × 0.4 be nearer 0.24 or 2.4?
What to listen for
Six tenths of four tenths covers 24 hundredths. The mixed check stays within hundredths. The separate two-decimal practice extends to smaller place values.
Tenths on a hundred grid · decimal multiplication
Mark two tenths factors on a 10-by-10 unit square. Count the overlap in hundredths.
4 problems · worked key · 1 student page + 1 keyDecimals × whole numbers · decimal multiplication
Multiply a decimal by a whole number and locate the product using place value.
8 problems · worked key · 1 student page + 1 keyMultiply two decimals · decimal multiplication
Use the whole-number calculation and then place the point. Includes tenths and hundredths in both factors.
8 problems · worked key · 1 student page + 1 keyTEACHING GOAL · 5.NBT.A.2
Explain multiplication by powers of ten
Try aloud When 0.06 is multiplied by 100, what happens to the value of the 6?
What to listen for
Six hundredths becomes six ones. Each step to the next larger place makes the value ten times as large.
Decimals × 10, 100 or 1,000 · decimal multiplication
Follow the value of each digit when multiplying by a power of ten.
8 problems · worked key · 1 student page + 1 keyAFTER FOCUSED PRACTICE
Put skills together
Fifth grade multiplication check
Use six questions to find a starting point for the next lesson. Mark the work on paper and build a practice packet.
6 questions · 3 topics · worked key · 1 student page + 1 keyUse the worked key to mark a paper and choose the next practice.
These sets practise selected parts of the linked U.S. Common Core standards. For wider review, browse fourth grade or open the full collection.