3-Digit by 2-Digit Multiplication Worksheet for Math Practice

The task involves solving six 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: \( 868 \times 61 \)

#### Step 1: Multiply \( 868 \) by the ones digit of \( 61 \) (which is \( 1 \)):
\[
868 \times 1 = 868
\]

#### Step 2: Multiply \( 868 \) by the tens digit of \( 61 \) (which is \( 6 \)), and shift the result one place to the left:
\[
868 \times 6 = 5208
\]
Shift \( 5208 \) one place to the left:
\[
52080
\]

#### Step 3: Add the two results:
\[
868 + 52080 = 52948
\]

Answer for Problem 1:
\[
\boxed{52948}
\]

---

Problem 2: \( 144 \times 89 \)

#### Step 1: Multiply \( 144 \) by the ones digit of \( 89 \) (which is \( 9 \)):
\[
144 \times 9 = 1296
\]

#### Step 2: Multiply \( 144 \) by the tens digit of \( 89 \) (which is \( 8 \)), and shift the result one place to the left:
\[
144 \times 8 = 1152
\]
Shift \( 1152 \) one place to the left:
\[
11520
\]

#### Step 3: Add the two results:
\[
1296 + 11520 = 12816
\]

Answer for Problem 2:
\[
\boxed{12816}
\]

---

Problem 3: \( 100 \times 15 \)

#### Step 1: Multiply \( 100 \) by the ones digit of \( 15 \) (which is \( 5 \)):
\[
100 \times 5 = 500
\]

#### Step 2: Multiply \( 100 \) by the tens digit of \( 15 \) (which is \( 1 \)), and shift the result one place to the left:
\[
100 \times 1 = 100
\]
Shift \( 100 \) one place to the left:
\[
1000
\]

#### Step 3: Add the two results:
\[
500 + 1000 = 1500
\]

Answer for Problem 3:
\[
\boxed{1500}
\]

---

Problem 4: \( 749 \times 77 \)

#### Step 1: Multiply \( 749 \) by the ones digit of \( 77 \) (which is \( 7 \)):
\[
749 \times 7 = 5243
\]

#### Step 2: Multiply \( 749 \) by the tens digit of \( 77 \) (which is \( 7 \)), and shift the result one place to the left:
\[
749 \times 7 = 5243
\]
Shift \( 5243 \) one place to the left:
\[
52430
\]

#### Step 3: Add the two results:
\[
5243 + 52430 = 57673
\]

Answer for Problem 4:
\[
\boxed{57673}
\]

---

Problem 5: \( 158 \times 82 \)

#### Step 1: Multiply \( 158 \) by the ones digit of \( 82 \) (which is \( 2 \)):
\[
158 \times 2 = 316
\]

#### Step 2: Multiply \( 158 \) by the tens digit of \( 82 \) (which is \( 8 \)), and shift the result one place to the left:
\[
158 \times 8 = 1264
\]
Shift \( 1264 \) one place to the left:
\[
12640
\]

#### Step 3: Add the two results:
\[
316 + 12640 = 12956
\]

Answer for Problem 5:
\[
\boxed{12956}
\]

---

Problem 6: \( 111 \times 49 \)

#### Step 1: Multiply \( 111 \) by the ones digit of \( 49 \) (which is \( 9 \)):
\[
111 \times 9 = 999
\]

#### Step 2: Multiply \( 111 \) by the tens digit of \( 49 \) (which is \( 4 \)), and shift the result one place to the left:
\[
111 \times 4 = 444
\]
Shift \( 444 \) one place to the left:
\[
4440
\]

#### Step 3: Add the two results:
\[
999 + 4440 = 5439
\]

Answer for Problem 6:
\[
\boxed{5439}
\]

---

Final Answers:

1. \( \boxed{52948} \)
2. \( \boxed{12816} \)
3. \( \boxed{1500} \)
4. \( \boxed{57673} \)
5. \( \boxed{12956} \)
6. \( \boxed{5439} \)