4th Grade Multiplying Multi-Digit Numbers Worksheet Solutions (PDF)
Grade 4 · Common Core State Standards: 4.NBT.B.5
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
\(40 \times 6 = 240\) 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
\(3{,}000 + 600 + 120 + 27 = 3{,}747\)
\(3,747\)
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
Exercise 11 – Area model: 36 × 24
\(600 + 120 + 120 + 24 = 864\)
864
Exercise 12 – Area model: 45 × 62
\(60 \times 40 = 2{,}400\), \(2 \times 40 = 80\), \(60 \times 5 = 300\), \(2 \times 5 = 10\).
\(2{,}400 + 80 + 300 + 10 = 2{,}790\)
\(2,790\)
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: \(30 \times 50 = 1{,}500\).
\(1,500\)
All Grade 4 chapters: Grade 4 math.
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