Double Digit Multiplication Worksheets 4th Grade - Free Printable

The task involves solving multiplication problems where a 3-digit number is multiplied by a 2-digit number. Below, I will solve each problem step by step.

---

Problem 1: \( 584 \times 46 \)

#### Step 1: Multiply \( 584 \) by \( 6 \)
\[
584 \times 6 = 3504
\]

#### Step 2: Multiply \( 584 \) by \( 40 \) (which is \( 4 \times 10 \))
\[
584 \times 40 = 23360
\]

#### Step 3: Add the results
\[
3504 + 23360 = 26864
\]

Answer: \( 26864 \)

---

Problem 2: \( 671 \times 38 \)

#### Step 1: Multiply \( 671 \) by \( 8 \)
\[
671 \times 8 = 5368
\]

#### Step 2: Multiply \( 671 \) by \( 30 \) (which is \( 3 \times 10 \))
\[
671 \times 30 = 20130
\]

#### Step 3: Add the results
\[
5368 + 20130 = 25498
\]

Answer: \( 25498 \)

---

Problem 3: \( 807 \times 54 \)

#### Step 1: Multiply \( 807 \) by \( 4 \)
\[
807 \times 4 = 3228
\]

#### Step 2: Multiply \( 807 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
807 \times 50 = 40350
\]

#### Step 3: Add the results
\[
3228 + 40350 = 43578
\]

Answer: \( 43578 \)

---

Problem 4: \( 943 \times 27 \)

#### Step 1: Multiply \( 943 \) by \( 7 \)
\[
943 \times 7 = 6601
\]

#### Step 2: Multiply \( 943 \) by \( 20 \) (which is \( 2 \times 10 \))
\[
943 \times 20 = 18860
\]

#### Step 3: Add the results
\[
6601 + 18860 = 25461
\]

Answer: \( 25461 \)

---

Problem 5: \( 648 \times 19 \)

#### Step 1: Multiply \( 648 \) by \( 9 \)
\[
648 \times 9 = 5832
\]

#### Step 2: Multiply \( 648 \) by \( 10 \) (which is \( 1 \times 10 \))
\[
648 \times 10 = 6480
\]

#### Step 3: Add the results
\[
5832 + 6480 = 12312
\]

Answer: \( 12312 \)

---

Problem 6: \( 428 \times 49 \)

#### Step 1: Multiply \( 428 \) by \( 9 \)
\[
428 \times 9 = 3852
\]

#### Step 2: Multiply \( 428 \) by \( 40 \) (which is \( 4 \times 10 \))
\[
428 \times 40 = 17120
\]

#### Step 3: Add the results
\[
3852 + 17120 = 20972
\]

Answer: \( 20972 \)

---

Problem 7: \( 687 \times 64 \)

#### Step 1: Multiply \( 687 \) by \( 4 \)
\[
687 \times 4 = 2748
\]

#### Step 2: Multiply \( 687 \) by \( 60 \) (which is \( 6 \times 10 \))
\[
687 \times 60 = 41220
\]

#### Step 3: Add the results
\[
2748 + 41220 = 43968
\]

Answer: \( 43968 \)

---

Problem 8: \( 489 \times 56 \)

#### Step 1: Multiply \( 489 \) by \( 6 \)
\[
489 \times 6 = 2934
\]

#### Step 2: Multiply \( 489 \) by \( 50 \) (which is \( 5 \times 10 \))
\[
489 \times 50 = 24450
\]

#### Step 3: Add the results
\[
2934 + 24450 = 27384
\]

Answer: \( 27384 \)

---

Problem 9: \( 715 \times 83 \)

#### Step 1: Multiply \( 715 \) by \( 3 \)
\[
715 \times 3 = 2145
\]

#### Step 2: Multiply \( 715 \) by \( 80 \) (which is \( 8 \times 10 \))
\[
715 \times 80 = 57200
\]

#### Step 3: Add the results
\[
2145 + 57200 = 59345
\]

Answer: \( 59345 \)

---

Problem 10: \( 973 \times 66 \)

#### Step 1: Multiply \( 973 \) by \( 6 \)
\[
973 \times 6 = 5838
\]

#### Step 2: Multiply \( 973 \) by \( 60 \) (which is \( 6 \times 10 \))
\[
973 \times 60 = 58380
\]

#### Step 3: Add the results
\[
5838 + 58380 = 64218
\]

Answer: \( 64218 \)

---

Problem 11: \( 389 \times 85 \)

#### Step 1: Multiply \( 389 \) by \( 5 \)
\[
389 \times 5 = 1945
\]

#### Step 2: Multiply \( 389 \) by \( 80 \) (which is \( 8 \times 10 \))
\[
389 \times 80 = 31120
\]

#### Step 3: Add the results
\[
1945 + 31120 = 33065
\]

Answer: \( 33065 \)

---

Problem 12: \( 583 \times 97 \)

#### Step 1: Multiply \( 583 \) by \( 7 \)
\[
583 \times 7 = 4081
\]

#### Step 2: Multiply \( 583 \) by \( 90 \) (which is \( 9 \times 10 \))
\[
583 \times 90 = 52470
\]

#### Step 3: Add the results
\[
4081 + 52470 = 56551
\]

Answer: \( 56551 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 26864 \\
2) & 25498 \\
3) & 43578 \\
4) & 25461 \\
5) & 12312 \\
6) & 20972 \\
7) & 43968 \\
8) & 27384 \\
9) & 59345 \\
10) & 64218 \\
11) & 33065 \\
12) & 56551 \\
\end{array}
}
\]