Numerical Expressions - Free Printable

Problem Description:

The task involves solving a series of number sentences and recording the solutions. The goal is to compute each expression step by step and provide the final answer.

Solution:

#### Row 1:
1. Find 3 less than the sum of 4 and 8
- Expression: \( (4 + 8) - 3 \)
- Step 1: Calculate the sum of 4 and 8.
\[
4 + 8 = 12
\]
- Step 2: Subtract 3 from the result.
\[
12 - 3 = 9
\]
- Final Answer: \( 9 \)

2. Subtract 5 from 9 and then add 10
- Expression: \( (9 - 5) + 10 \)
- Step 1: Subtract 5 from 9.
\[
9 - 5 = 4
\]
- Step 2: Add 10 to the result.
\[
4 + 10 = 14
\]
- Final Answer: \( 14 \)

3. Divide the product of 2 and 3 by 7
- Expression: \( \frac{2 \times 3}{7} \)
- Step 1: Calculate the product of 2 and 3.
\[
2 \times 3 = 6
\]
- Step 2: Divide the result by 7.
\[
\frac{6}{7} = 0.8571 \, (\text{or leave as } \frac{6}{7})
\]
- Final Answer: \( \frac{6}{7} \) or \( 0.8571 \)

---

#### Row 2:
4. Find 6 times as many as 3 plus 7
- Expression: \( 6 \times (3 + 7) \)
- Step 1: Calculate the sum of 3 and 7.
\[
3 + 7 = 10
\]
- Step 2: Multiply the result by 6.
\[
6 \times 10 = 60
\]
- Final Answer: \( 60 \)

5. Add 17 and 9 and then divide 2 by the sum
- Expression: \( \frac{2}{(17 + 9)} \)
- Step 1: Calculate the sum of 17 and 9.
\[
17 + 9 = 26
\]
- Step 2: Divide 2 by the result.
\[
\frac{2}{26} = \frac{1}{13} \, (\text{or } 0.0769)
\]
- Final Answer: \( \frac{1}{13} \) or \( 0.0769 \)

6. Find the sum of 23 and 25 and then divide 12
- Expression: \( \frac{(23 + 25)}{12} \)
- Step 1: Calculate the sum of 23 and 25.
\[
23 + 25 = 48
\]
- Step 2: Divide the result by 12.
\[
\frac{48}{12} = 4
\]
- Final Answer: \( 4 \)

---

#### Row 3:
7. Multiply 9 by the quotient of 4 divided by 5
- Expression: \( 9 \times \left( \frac{4}{5} \right) \)
- Step 1: Calculate the quotient of 4 divided by 5.
\[
\frac{4}{5} = 0.8
\]
- Step 2: Multiply the result by 9.
\[
9 \times 0.8 = 7.2
\]
- Final Answer: \( 7.2 \)

8. Find the product of 3 and 7 and then multiply by 10
- Expression: \( (3 \times 7) \times 10 \)
- Step 1: Calculate the product of 3 and 7.
\[
3 \times 7 = 21
\]
- Step 2: Multiply the result by 10.
\[
21 \times 10 = 210
\]
- Final Answer: \( 210 \)

9. Subtract 4 from the quotient of 1 divided by 6
- Expression: \( \frac{1}{6} - 4 \)
- Step 1: Calculate the quotient of 1 divided by 6.
\[
\frac{1}{6} \approx 0.1667
\]
- Step 2: Subtract 4 from the result.
\[
0.1667 - 4 = -3.8333
\]
- Final Answer: \( -3.8333 \) or \( -\frac{23}{6} \)

---

Final Answer Key:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Find 3 less than the sum of 4 and 8} & \text{Subtract 5 from 9 and then add 10} & \text{Divide the product of 2 and 3 by 7} \\
\hline
9 & 14 & \frac{6}{7} \\
\hline
\text{Find 6 times as many as 3 plus 7} & \text{Add 17 and 9 and then divide 2 by the sum} & \text{Find the sum of 23 and 25 and then divide 12} \\
\hline
60 & \frac{1}{13} & 4 \\
\hline
\text{Multiply 9 by the quotient of 4 divided by 5} & \text{Find the product of 3 and 7 and then multiply by 10} & \text{Subtract 4 from the quotient of 1 divided by 6} \\
\hline
7.2 & 210 & -3.8333 \\
\hline
\end{array}
}
\]