5th Grade Multiplying Multi-Digit Whole Numbers Worksheet (PDF)

These 20 problems build fluency with multiplying multi-digit whole numbers (Common Core 5.NBT.B.5). You will use the standard algorithm, estimate products, spot mistakes and use area models to see why partial products work.
Start with one-digit and two-digit factors. The last six problems are word problems with more than one step. Estimate before you multiply, and check your answer against your estimate.
Grade 5 · Common Core State Standards: 5.NBT.B.5
Exercise 1 – Two digits by one digit
Find the product: \(47\times6\).
Exercise 2 – Three digits by one digit
Find the product: \(358\times7\).
Exercise 3 – Multiply by a multiple of ten
Find the product: \(63\times40\).
Exercise 4 – Area model 34 times 26
Find \(34\times26\). Use the area model to fill in the four partial products.
Exercise 5 – Two digits by two digits
Find the product: \(78\times45\).
Exercise 6 – Estimate first
Estimate \(58\times31\) by rounding each factor to its greatest place. Then find the exact product.
Exercise 7 – Three digits by two digits
Find the product: \(246\times35\).
Exercise 8 – Zero in the middle
Find the product: \(507\times28\).
Exercise 9 – Larger factors
Find the product: \(689\times47\).
Exercise 10 – Zeros in a factor
Find the product: \(250\times36\).
Exercise 11 – Three digits by three digits
Find the product: \(314\times215\).
Exercise 12 – Four digits by two digits
Find the product: \(1{,}486\times32\).
Exercise 13 – Draw an area model
Use the area model to find \(52\times37\).
Exercise 14 – Jamal's mistake
Jamal finds \(45\times23\) this way: \(45\times3=135\), \(45\times2=90\), and \(135+90=225\). Explain his mistake and find the correct product.
Exercise 15 – Orange crates
A farmers market stand sells 36 crates of oranges. Each crate holds 48 oranges. How many oranges are there?
Exercise 16 – Road trip miles
On a road trip, a bus drives 62 miles each hour for 14 hours. How many miles does the bus drive?
Exercise 17 – Auditorium seats
The school auditorium has 28 rows. Each row has 35 seats. How many seats are in the auditorium?
Exercise 18 – Bake sale money
Sofia bakes 15 trays of cookies with 24 cookies on each tray. She sells every cookie for \(\$2\). How many cookies does she bake, and how much money does she earn?
Exercise 19 – Water bottles
A Little League has 12 teams. Each team has 14 players. Every player gets 3 water bottles. How many water bottles does the league give out?
Exercise 20 – Marker boxes
Priya’s school buys 125 boxes with 24 markers each and 36 boxes with 15 markers each. How many markers does the school buy in all?
All Grade 5 chapters: Grade 5 math.
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