Determine If Each Expression Is Less Than, Equal To, Or Greater Than 7.$\[ \begin{array}{|c|c|c|c|} \hline \text{Expression} & \text{Less Than 7} & \text{Equal To 7} & \text{Greater Than 7} \\ \hline 7 \times \frac{1}{2} & \bigcirc & 0 & 0

In mathematics, understanding the relationships between numbers and expressions is crucial for solving various problems. In this article, we will focus on determining whether each given expression is less than, equal to, or greater than 7. We will start by analyzing the expression $7 \times \frac{1}{2}$.

Expression 1: $7 \times \frac{1}{2}$

To determine the relationship between the expression $7 \times \frac{1}{2}$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times \frac{1}{2}$ can be evaluated by multiplying 7 by $\frac{1}{2}$. This can be done by multiplying the numerator of the fraction by 7 and then dividing by the denominator.

$$7 \times \frac{1}{2} = \frac{7 \times 1}{2} = \frac{7}{2}$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

$$\frac{7}{2} = 3.5$$

Since 3.5 is less than 7, we can conclude that the expression $7 \times \frac{1}{2}$ is less than 7.

Conclusion for Expression 1

The expression $7 \times \frac{1}{2}$ is less than 7.

Expression 2: $7 \times \frac{3}{2}$

To determine the relationship between the expression $7 \times \frac{3}{2}$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times \frac{3}{2}$ can be evaluated by multiplying 7 by $\frac{3}{2}$. This can be done by multiplying the numerator of the fraction by 7 and then dividing by the denominator.

$$7 \times \frac{3}{2} = \frac{7 \times 3}{2} = \frac{21}{2}$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

$$\frac{21}{2} = 10.5$$

Since 10.5 is greater than 7, we can conclude that the expression $7 \times \frac{3}{2}$ is greater than 7.

Conclusion for Expression 2

The expression $7 \times \frac{3}{2}$ is greater than 7.

Expression 3: $7 \times 1$

To determine the relationship between the expression $7 \times 1$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times 1$ can be evaluated by multiplying 7 by 1.

$$7 \times 1 = 7$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

Since 7 is equal to 7, we can conclude that the expression $7 \times 1$ is equal to 7.

Conclusion for Expression 3

The expression $7 \times 1$ is equal to 7.

Expression 4: $7 + 0$

To determine the relationship between the expression $7 + 0$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 + 0$ can be evaluated by adding 7 and 0.

$$7 + 0 = 7$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

Since 7 is equal to 7, we can conclude that the expression $7 + 0$ is equal to 7.

Conclusion for Expression 4

The expression $7 + 0$ is equal to 7.

Expression 5: $7 - 0$

To determine the relationship between the expression $7 - 0$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 - 0$ can be evaluated by subtracting 0 from 7.

$$7 - 0 = 7$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

Since 7 is equal to 7, we can conclude that the expression $7 - 0$ is equal to 7.

Conclusion for Expression 5

The expression $7 - 0$ is equal to 7.

Expression 6: $7 \times 0$

To determine the relationship between the expression $7 \times 0$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times 0$ can be evaluated by multiplying 7 by 0.

$$7 \times 0 = 0$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

Since 0 is less than 7, we can conclude that the expression $7 \times 0$ is less than 7.

Conclusion for Expression 6

The expression $7 \times 0$ is less than 7.

Expression 7: $7 \div 0$

To determine the relationship between the expression $7 \div 0$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \div 0$ is undefined, as division by zero is not allowed in mathematics.

Comparing the Expression to 7

Since the expression $7 \div 0$ is undefined, we cannot compare it to 7.

Conclusion for Expression 7

The expression $7 \div 0$ is undefined.

Expression 8: $7 \times \frac{1}{3}$

To determine the relationship between the expression $7 \times \frac{1}{3}$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times \frac{1}{3}$ can be evaluated by multiplying 7 by $\frac{1}{3}$.

$$7 \times \frac{1}{3} = \frac{7 \times 1}{3} = \frac{7}{3}$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

$$\frac{7}{3} = 2.33$$

Since 2.33 is less than 7, we can conclude that the expression $7 \times \frac{1}{3}$ is less than 7.

Conclusion for Expression 8

The expression $7 \times \frac{1}{3}$ is less than 7.

Expression 9: $7 \times \frac{2}{3}$

To determine the relationship between the expression $7 \times \frac{2}{3}$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times \frac{2}{3}$ can be evaluated by multiplying 7 by $\frac{2}{3}$.

$$7 \times \frac{2}{3} = \frac{7 \times 2}{3} = \frac{14}{3}$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

$$\frac{14}{3} = 4.67$$

Since 4.67 is less than 7, we can conclude that the expression $7 \times \frac{2}{3}$ is less than 7.

Conclusion for Expression 9

The expression $7 \times \frac{2}{3}$ is less than 7.

Expression 10: $7 \times \frac{3}{3}$

To determine the relationship between the expression $7 \times \frac{3}{3}$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times \frac{3}{3}$ can be evaluated by multiplying 7 by $\frac{3}{3}$.

$$7 \times \frac{3}{3} = \frac{7 \times 3}{3} = 7$$

Comparing the Expression to 7

Now that we have evaluated the expression, we can compare it to 7.

Since 7 is equal to 7, we can conclude that the expression $7 \times \frac{3}{3}$ is equal to 7.

Conclusion for Expression 10

The expression $7 \times \frac{3}{3}$ is equal to 7.

Expression 11: $7 \times \frac{4}{3}$

To determine the relationship between the expression $7 \times \frac{4}{3}$ and the number 7, we need to evaluate the expression.

Evaluating the Expression

The expression $7 \times \frac{4}{3}$ can be evaluated by multiplying 7 by $\frac{4}{3}$.

$$7 \times \frac{4}{3} = \frac{7 \times 4}{3} = \frac{28}{3}$$

Comparing the Expression to 7

In the previous article, we analyzed various expressions and determined their relationship to the number 7. In this article, we will provide a Q&A section to help clarify any doubts and provide additional information.

Q: What is the relationship between the expression $7 \times \frac{1}{2}$ and the number 7?

A: The expression $7 \times \frac{1}{2}$ is less than 7. To evaluate this expression, we multiplied 7 by $\frac{1}{2}$, which resulted in $\frac{7}{2}$. Since $\frac{7}{2}$ is equal to 3.5, which is less than 7, we can conclude that the expression $7 \times \frac{1}{2}$ is less than 7.

Q: What is the relationship between the expression $7 \times \frac{3}{2}$ and the number 7?

A: The expression $7 \times \frac{3}{2}$ is greater than 7. To evaluate this expression, we multiplied 7 by $\frac{3}{2}$, which resulted in $\frac{21}{2}$. Since $\frac{21}{2}$ is equal to 10.5, which is greater than 7, we can conclude that the expression $7 \times \frac{3}{2}$ is greater than 7.

Q: What is the relationship between the expression $7 \times 1$ and the number 7?

A: The expression $7 \times 1$ is equal to 7. To evaluate this expression, we multiplied 7 by 1, which resulted in 7. Since 7 is equal to 7, we can conclude that the expression $7 \times 1$ is equal to 7.

Q: What is the relationship between the expression $7 + 0$ and the number 7?

A: The expression $7 + 0$ is equal to 7. To evaluate this expression, we added 7 and 0, which resulted in 7. Since 7 is equal to 7, we can conclude that the expression $7 + 0$ is equal to 7.

Q: What is the relationship between the expression $7 - 0$ and the number 7?

A: The expression $7 - 0$ is equal to 7. To evaluate this expression, we subtracted 0 from 7, which resulted in 7. Since 7 is equal to 7, we can conclude that the expression $7 - 0$ is equal to 7.

Q: What is the relationship between the expression $7 \times 0$ and the number 7?

A: The expression $7 \times 0$ is less than 7. To evaluate this expression, we multiplied 7 by 0, which resulted in 0. Since 0 is less than 7, we can conclude that the expression $7 \times 0$ is less than 7.

Q: What is the relationship between the expression $7 \div 0$ and the number 7?

A: The expression $7 \div 0$ is undefined. Division by zero is not allowed in mathematics, so we cannot determine the relationship between this expression and the number 7.

Q: What is the relationship between the expression $7 \times \frac{1}{3}$ and the number 7?

A: The expression $7 \times \frac{1}{3}$ is less than 7. To evaluate this expression, we multiplied 7 by $\frac{1}{3}$, which resulted in $\frac{7}{3}$. Since $\frac{7}{3}$ is equal to 2.33, which is less than 7, we can conclude that the expression $7 \times \frac{1}{3}$ is less than 7.

Q: What is the relationship between the expression $7 \times \frac{2}{3}$ and the number 7?

A: The expression $7 \times \frac{2}{3}$ is less than 7. To evaluate this expression, we multiplied 7 by $\frac{2}{3}$, which resulted in $\frac{14}{3}$. Since $\frac{14}{3}$ is equal to 4.67, which is less than 7, we can conclude that the expression $7 \times \frac{2}{3}$ is less than 7.

Q: What is the relationship between the expression $7 \times \frac{3}{3}$ and the number 7?

A: The expression $7 \times \frac{3}{3}$ is equal to 7. To evaluate this expression, we multiplied 7 by $\frac{3}{3}$, which resulted in 7. Since 7 is equal to 7, we can conclude that the expression $7 \times \frac{3}{3}$ is equal to 7.

Q: What is the relationship between the expression $7 \times \frac{4}{3}$ and the number 7?

A: The expression $7 \times \frac{4}{3}$ is greater than 7. To evaluate this expression, we multiplied 7 by $\frac{4}{3}$, which resulted in $\frac{28}{3}$. Since $\frac{28}{3}$ is equal to 9.33, which is greater than 7, we can conclude that the expression $7 \times \frac{4}{3}$ is greater than 7.

Conclusion

In this Q&A article, we have provided answers to various questions related to the relationship between expressions and the number 7. We have evaluated different expressions and determined their relationship to the number 7. We hope that this article has helped to clarify any doubts and provide additional information on this topic.