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Let's go through each of the problems step by step, showing how the work can be done.

### 1. **Multiply 27,961 by 9**

To multiply these two numbers, we can break it down using the long multiplication method.

\[
\begin{array}{r}
  27,961 \\
  \times 9 \\
\hline
\end{array}
\]

We'll multiply 9 by each digit of 27,961 from right to left:
- \( 9 \times 1 = 9 \)
- \( 9 \times 6 = 54 \) (write 4, carry 5)
- \( 9 \times 9 = 81 \), plus the 5 we carried over equals \( 86 \) (write 6, carry 8)
- \( 9 \times 7 = 63 \), plus the 8 equals \( 71 \) (write 1, carry 7)
- \( 9 \times 2 = 18 \), plus the 7 equals \( 25 \) (write 25)

So the product is:

\[
27,961 \times 9 = 251,649
\]

### 2. **Multiply 5,426 by 3**

Again, we'll use the long multiplication method:

\[
\begin{array}{r}
  5,426 \\
  \times 3 \\
\hline
\end{array}
\]

Multiply 3 by each digit of 5,426 from right to left:
- \( 3 \times 6 = 18 \) (write 8, carry 1)
- \( 3 \times 2 = 6 \), plus the 1 equals \( 7 \)
- \( 3 \times 4 = 12 \) (write 2, carry 1)
- \( 3 \times 5 = 15 \), plus the 1 equals \( 16 \)

So the product is:

\[
5,426 \times 3 = 16,278
\]

### 3. **Find the product of 1,984 and 7**

Using the same method:

\[
\begin{array}{r}
  1,984 \\
  \times 7 \\
\hline
\end{array}
\]

Multiply 7 by each digit of 1,984 from right to left:
- \( 7 \times 4 = 28 \) (write 8, carry 2)
- \( 7 \times 8 = 56 \), plus the 2 equals \( 58 \) (write 8, carry 5)
- \( 7 \times 9 = 63 \), plus the 5 equals \( 68 \) (write 8, carry 6)
- \( 7 \times 1 = 7 \), plus the 6 equals \( 13 \)

So the product is:

\[
1,984 \times 7 = 13,888
\]

---

### Final Results:
1. \( 27,961 \times 9 = 251,649 \)
2. \( 5,426 \times 3 = 16,278 \)
3. \( 1,984 \times 7 = 13,888 \)

---

Do you need further details or clarifications on the steps?

Here are five related questions for practice:
1. What is \( 12,543 \times 8 \)?
2. Multiply \( 3,721 \times 6 \) and show your work.
3. Find the product of \( 15,840 \times 9 \).
4. How would you multiply \( 2,438 \times 5 \)?
5. What is the result of multiplying \( 8,624 \times 4 \)?

**Tip:** When doing long multiplication, always remember to carry over numbers carefully to avoid mistakes in larger digits.

Multiply 27,961 by 9; Multiply 5,426 by 3; Find the product of 1,984 and 7.

Learn how to multiply large numbers like 27,961 by 9, 5,426 by 3, and find the product of 1,984 and 7 with step-by-step guidance. Suitable for students in grades 4-5.

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