Multiplying Multi-Digit Whole Numbers: Grade 5 Math Worksheet Answer Key – PDF Download

Grade 5 Multiply Worksheet Answer Key: problems 1–5

Problem 1: Area model warm-up

Split 347 into 300 + 40 + 7.

\(300 \times 6 = 1{,}800\), \(40 \times 6 = 240\), \(7 \times 6 = 42\).

Add: \(1{,}800 + 240 + 42 = 2{,}082\).

2,082

Problem 2: Two digits by two digits

1. Multiply by the 4 ones: \(52 \times 4 = 208\).
2. Multiply by the 3 tens (30): \(52 \times 30 = 1{,}560\).
3. Add the partial products: \(1{,}560 + 208 = 1{,}768\).

1,768

Problem 3: A zero in the middle

1. Multiply by the 7 ones: \(408 \times 7 = 2{,}856\).

2,856

Problem 4: Three digits by two digits

1. Multiply by the 6 ones: \(215 \times 6 = 1{,}290\).
2. Multiply by the 3 tens (30): \(215 \times 30 = 6{,}450\).
3. Add the partial products: \(6{,}450 + 1{,}290 = 7{,}740\).

7,740

Problem 5: Factors that end in zero

1. Multiply by the 5 ones: \(640 \times 5 = 3{,}200\).
2. Multiply by the 2 tens (20): \(640 \times 20 = 12{,}800\).
3. Add the partial products: \(12{,}800 + 3{,}200 = 16{,}000\).

16,000

Grade 5 Multiply Worksheet Answer Key: problems 6–10

Problem 6: Estimate then multiply

38 rounds to 40 and 52 rounds to 50. Estimate: \(40 \times 50 = 2{,}000\).

1. Multiply by the 2 ones: \(38 \times 2 = 76\).
2. Multiply by the 5 tens (50): \(38 \times 50 = 1{,}900\).
3. Add the partial products: \(1{,}900 + 76 = 1{,}976\).

The exact product 1,976 is close to the estimate 2,000, so it is reasonable.

Estimate 2,000; exact 1,976.

Problem 7: Find the missing digit

The known digits give \(300 \times 6 = 1{,}800\) and \(4 \times 6 = 24\). The tens digit must make up the rest: \(2{,}064 – 1{,}800 – 24 = 240\). Since \(40 \times 6 = 240\), the missing digit is 4.

Check: \(344 \times 6 = 2{,}064\).

4

Problem 8: Four digits by one digit

1. Multiply by the 8 ones: \(1{,}246 \times 8 = 9{,}968\).

9,968

Problem 9: Standard algorithm

1. Multiply by the 3 ones: \(756 \times 3 = 2{,}268\).
2. Multiply by the 4 tens (40): \(756 \times 40 = 30{,}240\).
3. Add the partial products: \(30{,}240 + 2{,}268 = 32{,}508\).

32,508

Problem 10: Zero in the thousands

1. Multiply by the 7 ones: \(2{,}305 \times 7 = 16{,}135\).
2. Multiply by the 2 tens (20): \(2{,}305 \times 20 = 46{,}100\).
3. Add the partial products: \(46{,}100 + 16{,}135 = 62{,}235\).

62,235

Grade 5 Multiply Worksheet Answer Key: problems 11–15

Problem 11: Four digits by two digits

1. Multiply by the 6 ones: \(4{,}872 \times 6 = 29{,}232\).
2. Multiply by the 3 tens (30): \(4{,}872 \times 30 = 146{,}160\).
3. Add the partial products: \(146{,}160 + 29{,}232 = 175{,}392\).

175,392

Problem 12: Find the mistake

Noah multiplied 63 by the 4 tens as if it were 4 ones, so his second row \(63 \times 4 = 252\) is not shifted. The 4 is worth 40.

Correct rows: \(63 \times 8 = 504\) and \(63 \times 40 = 2{,}520\). Add: \(504 + 2{,}520 = 3{,}024\).

The second partial product must be 2,520; the correct product is 3,024.

Problem 13: Three digits by three digits

1. Multiply by the 5 ones: \(214 \times 5 = 1{,}070\).
2. Multiply by the 2 tens (20): \(214 \times 20 = 4{,}280\).
3. Multiply by the 1 hundreds (100): \(214 \times 100 = 21{,}400\).
4. Add the partial products: \(21{,}400 + 4{,}280 + 1{,}070 = 26{,}750\).

26,750

Problem 14: Zeros in both factors

1. Multiply by the 9 ones: \(807 \times 9 = 7{,}263\).
2. Multiply by the 0 tens (0): \(807 \times 0 = 0\).
3. Multiply by the 3 hundreds (300): \(807 \times 300 = 242{,}100\).
4. Add the partial products: \(242{,}100 + 0 + 7{,}263 = 249{,}363\).

249,363

Problem 15: Fill the area model

\(40 \times 70 = 2{,}800\), \(6 \times 70 = 420\), \(40 \times 3 = 120\), \(6 \times 3 = 18\).

Add: \(2{,}800 + 420 + 120 + 18 = 3{,}358\).

3,358

Grade 5 Multiply Worksheet Answer Key: problems 16–20

Problem 16: Which product is greater?

\(48 \times 62 = 2{,}976\) and \(51 \times 58 = 2{,}958\).

Subtract: \(2{,}976 – 2{,}958 = 18\).

\(48 \times 62\) is greater, by 18.

Problem 17: Bake sale cookies

\(36 \times 24 = 864\).

1. Multiply by the 4 ones: \(36 \times 4 = 144\).
2. Multiply by the 2 tens (20): \(36 \times 20 = 720\).
3. Add the partial products: \(720 + 144 = 864\).

864 cookies.

Problem 18: Auditorium seats

\(38 \times 45 = 1{,}710\).

1. Multiply by the 8 ones: \(45 \times 8 = 360\).
2. Multiply by the 3 tens (30): \(45 \times 30 = 1{,}350\).
3. Add the partial products: \(1{,}350 + 360 = 1{,}710\).

1,710 seats.

Problem 19: Little League fees

\(125 \times 85 = 10{,}625\).

1. Multiply by the 5 ones: \(125 \times 5 = 625\).
2. Multiply by the 8 tens (80): \(125 \times 80 = 10{,}000\).
3. Add the partial products: \(10{,}000 + 625 = 10{,}625\).

$10,625.

Problem 20: Apples at the market

Step 1: \(144 \times 36 = 5{,}184\).

1. Multiply by the 6 ones: \(144 \times 6 = 864\).
2. Multiply by the 3 tens (30): \(144 \times 30 = 4{,}320\).
3. Add the partial products: \(4{,}320 + 864 = 5{,}184\).

Step 2: \(5{,}184 – 275 = 4{,}909\).

4,909 apples.

Grade 5 Multiply Worksheet Answer Key: problems 21–22

Problem 21: Supply order

Pencils: \(15 \times 144 = 2{,}160\).

Erasers: \(28 \times 36 = 1{,}008\).

Total: \(2{,}160 + 1{,}008 = 3{,}168\).

3,168 items.

Problem 22: Ferry passengers

Passengers in one day: \(14 \times 235 = 3{,}290\).

Passengers in 25 days: \(3{,}290 \times 25 = 82{,}250\).

82,250 passengers.

How to use this grade 5 multiply worksheet answer key

Read this grade 5 multiply worksheet answer key after trying each problem yourself, and redo any problem you missed.

See every chapter on the Grade 5 math page.