This grade 4 multiplication worksheet answer key solves all 24 problems of the multi-digit multiplication worksheet step by step.
Every solution below lists the partial products, adds them, and gives the final answer in bold. Compare your own work with the key, and use the estimate or the area model to find where a missing partial product caused a different answer.
Grade 4 Multiplication Worksheet Answer Key: problems 1–5
Problem 1: Multiply with no regrouping
Partial products: \(3 \times 1{,}000 = 3{,}000\), \(3 \times 200 = 600\), \(3 \times 10 = 30\), \(3 \times 2 = 6\).
Add: \(3{,}000 + 600 + 30 + 6 = 3{,}636\).
Answer: 3,636
Problem 2: Two-digit by one-digit
Partial products: \(7 \times 30 = 210\), \(7 \times 6 = 42\).
Add: \(210 + 42 = 252\).
Answer: 252
Problem 3: Three-digit by one-digit
Partial products: \(8 \times 200 = 1{,}600\), \(8 \times 40 = 320\), \(8 \times 5 = 40\).
Add: \(1{,}600 + 320 + 40 = 1{,}960\).
Answer: 1,960
Problem 4: Four-digit by one-digit
Partial products: \(6 \times 3{,}000 = 18{,}000\), \(6 \times 400 = 2{,}400\), \(6 \times 10 = 60\), \(6 \times 7 = 42\).
Add: \(18{,}000 + 2{,}400 + 60 + 42 = 20{,}502\).
Answer: 20,502
Problem 5: Multiply with a zero in the hundreds
Partial products: \(9 \times 6{,}000 = 54{,}000\), \(9 \times 500 = 4{,}500\), \(9 \times 8 = 72\).
Add: \(54{,}000 + 4{,}500 + 72 = 58{,}572\).
Answer: 58,572
Grade 4 Multiplication Worksheet Answer Key: problems 6–10
Problem 6: Multiply with a zero in the tens
Partial products: \(5 \times 7{,}000 = 35{,}000\), \(5 \times 90 = 450\).
Add: \(35{,}000 + 450 = 35{,}450\).
Answer: 35,450
Problem 7: Use the properties
\(4 \times 25 = 100\), so \(4 \times 7 \times 25 = 7 \times (4 \times 25) = 7 \times 100 = 700\).
Answer: 700
Problem 8: Break apart a factor
\(8 \times 47 = 8 \times 40 + 8 \times 7 = 320 + 56 = 376\).
Answer: 376
Problem 9: Two-digit by two-digit, small
Partial products: \(20 \times 10 = 200\), \(20 \times 5 = 100\), \(6 \times 10 = 60\), \(6 \times 5 = 30\).
Add: \(200 + 100 + 60 + 30 = 390\).
Answer: 390
Problem 10: Area model, 36 times 27
Partial products: \(30 \times 20 = 600\), \(30 \times 7 = 210\), \(6 \times 20 = 120\), \(6 \times 7 = 42\).
Add: \(600 + 210 + 120 + 42 = 972\).
Answer: 972
Grade 4 Multiplication Worksheet Answer Key: problems 11–15
Problem 11: Partial products, 48 times 65
Partial products: \(40 \times 60 = 2{,}400\), \(40 \times 5 = 200\), \(8 \times 60 = 480\), \(8 \times 5 = 40\).
Add: \(2{,}400 + 200 + 480 + 40 = 3{,}120\).
Answer: 3,120
Problem 12: Multiply 72 by 58
Partial products: \(70 \times 50 = 3{,}500\), \(70 \times 8 = 560\), \(2 \times 50 = 100\), \(2 \times 8 = 16\).
Add: \(3{,}500 + 560 + 100 + 16 = 4{,}176\).
Answer: 4,176
Problem 13: Multiply 99 by 43
Partial products: \(90 \times 40 = 3{,}600\), \(90 \times 3 = 270\), \(9 \times 40 = 360\), \(9 \times 3 = 27\).
Add: \(3{,}600 + 270 + 360 + 27 = 4{,}257\).
Answer: 4,257
Problem 14: Multiply by a multiple of ten
First \(4 \times 53 = 212\). Then multiply by 10: \(212 \times 10 = 2{,}120\).
Check: \(40 \times 50 = 2{,}000\) and \(40 \times 3 = 120\), total 2,120. Answer: 2,120
Problem 15: Fill in the partial products
\(20 \times 30 = 600\), \(20 \times 5 = 100\), \(4 \times 30 = 120\), \(4 \times 5 = 20\).
Total: \(600 + 100 + 120 + 20 = 840\). Answer: 840
Grade 4 Multiplication Worksheet Answer Key: problems 16–20
Problem 16: Write the equation from the model
The sides are \(40 + 5 = 45\) and \(30 + 2 = 32\), so the equation is \(45 \times 32\).
Partial products: \(40 \times 30 = 1{,}200\), \(40 \times 2 = 80\), \(5 \times 30 = 150\), \(5 \times 2 = 10\).
Add: \(1{,}200 + 80 + 150 + 10 = 1{,}440\).
Answer: 45 × 32 = 1,440
Problem 17: Estimate and then multiply
Estimate: \(50 \times 60 = 3{,}000\).
Partial products: \(40 \times 60 = 2{,}400\), \(40 \times 3 = 120\), \(7 \times 60 = 420\), \(7 \times 3 = 21\).
Add: \(2{,}400 + 120 + 420 + 21 = 2{,}961\).
The exact total is close to the estimate. Answer: estimate 3,000 pencils; exact 2,961 pencils
Problem 18: Find the mistake in multiplying
Mei used only two of the four partial products. She left out the products of the tens with the ones: 30 × 6 and 4 × 20.
Partial products: \(30 \times 20 = 600\), \(30 \times 6 = 180\), \(4 \times 20 = 80\), \(4 \times 6 = 24\).
Add: \(600 + 180 + 80 + 24 = 884\).
Answer: 884
Problem 19: Crates of apples
Partial products: \(6 \times 200 = 1{,}200\), \(6 \times 40 = 240\), \(6 \times 8 = 48\).
Add: \(1{,}200 + 240 + 48 = 1{,}488\).
Answer: 1,488 apples
Problem 20: Stadium sections
Partial products: \(9 \times 1{,}000 = 9{,}000\), \(9 \times 300 = 2{,}700\), \(9 \times 20 = 180\), \(9 \times 5 = 45\).
Add: \(9{,}000 + 2{,}700 + 180 + 45 = 11{,}925\).
Answer: 11,925 seats
Grade 4 Multiplication Worksheet Answer Key: problems 21–24
Problem 21: Rows of seats
Partial products: \(20 \times 30 = 600\), \(20 \times 6 = 120\), \(8 \times 30 = 240\), \(8 \times 6 = 48\).
Add: \(600 + 120 + 240 + 48 = 1{,}008\).
Answer: 1,008 seats
Problem 22: Road trip
Partial products: \(7 \times 400 = 2{,}800\), \(7 \times 70 = 490\), \(7 \times 5 = 35\).
Add: \(2{,}800 + 490 + 35 = 3{,}325\).
Answer: 3,325 miles
Problem 23: League fees
(a) \(24 \times 15 = 360\): partial products 200, 100, 40, 20 give 360.
(b) \(360 \times 8 = 2{,}880\) since \(300 \times 8 = 2{,}400\) and \(60 \times 8 = 480\).
Answer: (a) 360 players; (b) $2,880
Problem 24: Bake sale boxes
Aisha: \(48 \times 12 = 400 + 80 + 80 + 16 = 576\), so $576.
Noah: \(35 \times 15 = 300 + 150 + 50 + 25 = 525\), so $525.
Difference: \(576 – 525 = 51\). Answer: Aisha raised $51 more
How to use this grade 4 multiplication worksheet answer key
Read this grade 4 multiplication worksheet answer key after trying each problem yourself, and redo any problem you missed.
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Grade 4 Multi-Digit Multiplication worksheet answer key
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