4th Grade Multiplying Multi-Digit Numbers Worksheet Solutions (PDF)

4th Grade math worksheet solutions: Multiplying Multi-Digit Numbers – Maths PDF

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This multiply practice solutions for 4th Grade covers multiplying multi-digit numbers (Common Core 4.NBT.B.5), with a free PDF to print.

Check your work with this answer key. Each solution lists every partial product, shows the sum, and gives the final product in bold. Area models are completed so you can compare them with your own.

Grade 4 · Common Core State Standards: 4.NBT.B.5

Multiply practice solutions: exercises 1 to 10

Exercise 1 – Multiples of 10

3 tens times 4 is 12 tens, which is 120.

120

Exercise 2 – Tens times tens

Basic fact: \(7 \times 5 = 35\). Two zeros are attached.

\(3,500\)

Exercise 3 – Hundreds

Basic fact: \(6 \times 4 = 24\). Two zeros are attached.

\(2,400\)

Exercise 4 – Thousands

Basic fact: \(8 \times 5 = 40\). Three zeros are attached to 40, giving 40,000.

\(40,000\)

Exercise 5 – Area model: 47 × 6

240 + 42 = 282.

\(40 \times 6 = 240\) and \(7 \times 6 = 42\).

\(240 + 42 = 282\)

282

Exercise 6 – Partial products: 58 × 7

\(50 \times 7 = 350\) and \(8 \times 7 = 56\).

\(350 + 56 = 406\)

406

Exercise 7 – Three-digit number

\(300 \times 4 = 1{,}200\), \(20 \times 4 = 80\), \(6 \times 4 = 24\).

\(1{,}200 + 80 + 24 = 1{,}304\)

\(1,304\)

Exercise 8 – Four-digit number

3,000 + 600 + 120 + 27 = 3,747.

\(3{,}000 + 600 + 120 + 27 = 3{,}747\)

\(3,747\)

Exercise 9 – Zero in the number

\(4{,}000 \times 6 = 24{,}000\), \(800 \times 6 = 4{,}800\), \(0 \times 6 = 0\), \(5 \times 6 = 30\).

\(24{,}000 + 4{,}800 + 0 + 30 = 28{,}830\)

\(28,830\)

Exercise 10 – Two-digit by two-digit

\(23 \times 10 = 230\) and \(23 \times 4 = 92\).

\(230 + 92 = 322\)

322

Exercises 11 and up

Exercise 11 – Area model: 36 × 24

600 + 120 + 120 + 24 = 864.

\(600 + 120 + 120 + 24 = 864\)

864

Exercise 12 – Area model: 45 × 62

2,400 + 80 + 300 + 10 = 2,790.

\(60 \times 40 = 2{,}400\), \(2 \times 40 = 80\), \(60 \times 5 = 300\), \(2 \times 5 = 10\).

\(2{,}400 + 80 + 300 + 10 = 2{,}790\)

\(2,790\)

Exercise 13 – Bigger partial products

\(78 \times 50 = 3{,}900\) and \(78 \times 3 = 234\).

\(3{,}900 + 234 = 4{,}134\)

\(4,134\)

Exercise 14 – Use a property

Group the factors that make a friendly number: \((4 \times 25) \times 17\).

\(4 \times 25 = 100\), and \(100 \times 17 = 1{,}700\).

\(1,700\)

Exercise 15 – Peach baskets

\(28 \times 45\): \(20 \times 45 = 900\) and \(8 \times 45 = 360\).

\(900 + 360 = 1{,}260\)

\(1,260\) peaches

Exercise 16 – Stadium seats

\(8 imes 1{,}000 = 8{,}000\), \(8 imes 200 = 1{,}600\), \(8 imes 70 = 560\), \(8 imes 5 = 40\).

\(8{,}000 + 1{,}600 + 560 + 40 = 10{,}200\)

\(10,200\) seats

Exercise 17 – Road trip miles

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

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

\(2,082\) miles

Exercise 18 – Baseball card packs

\(47 \times 12\): \(47 \times 10 = 470\) and \(47 \times 2 = 94\).

\(470 + 94 = 564\)

564 cards

Exercise 19 – Theater seats

Total seats: \(24 \times 38\): \(20 \times 38 = 760\) and \(4 \times 38 = 152\), so \(760 + 152 = 912\).

Left: \(912 – 150 = 762\).

762 seats

Exercise 20 – Find the mistake

Liam forgot to attach the two zeros from 30 and 50. \(3 \times 5 = 15\) is 15 hundreds, not 15.

Correct: \(30 \times 50 = 1{,}500\).

\(1,500\)

Key facts behind this multiply practice solutions

Key facts

Partial products are the answers to each smaller multiplication; add them for the final product.
Distributive property: 6 × 47 = 6 × 40 + 6 × 7.
A 2-digit by 2-digit problem has four partial products in an area model.
For multiples of 10, multiply the basic facts and attach all the zeros: 30 × 40 = 1,200.
Estimate first by rounding to check that the product makes sense.

How to use this multiply practice solutions

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

Download the multiply practice solutions as a PDF with the button below and keep it with your notes.

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