Absolute value: Simple exercise

To solve this problem, we'll follow these steps:

• Simplify the expression inside the absolute value $-7 + 3$.
• Evaluate the absolute value of the resulting number.

Let’s perform the calculations:

First, simplify the expression $-7 + 3$. This is equivalent to subtracting 3 from -7:

$-7 + 3 = -4$

Now, we find the absolute value of $-4$:

The absolute value of a negative number is its positive equivalent. Therefore, $|-4| = 4$.

Thus, the absolute value of $-7 + 3$ is $4$.

To solve this problem, we'll follow these steps:

• Step 1: Calculate the expression inside the absolute value.
• Step 2: Determine the absolute value of the result.

Now, let's work through each step:
Step 1: Calculate $2 - 5$.
$2 - 5 = -3$

Step 2: Determine the absolute value of $-3$.
Since the number $-3$ is negative, the absolute value is calculated by changing its sign:
$\left| -3 \right| = 3$

Therefore, the absolute value of $2 - 5$ is $3$.

The correct choice is: $3$ (Choice 1).

To solve the problem of finding the absolute value of $|5 - 3|$, follow these steps:

• Step 1: Evaluate the expression inside the absolute value, $5 - 3$.
• Step 2: Determine the result of this calculation.
• Step 3: Apply the absolute value operation to the result obtained in Step 2.

Let's work through each step:

Step 1: Calculate $5 - 3$. This gives us the result:

$5 - 3 = 2$

Step 2: Now apply the absolute value to this result:

$|2| = 2$

Therefore, the solution to the problem is $\boxed{2}$.

To solve this problem, we'll follow these steps:

• Step 1: Evaluate the expression inside the absolute value.
• Step 2: Apply the absolute value calculation based on the result from Step 1.

Now, let's work through each step in detail:

Step 1: We evaluate the expression inside the absolute value: $-7 + 3$.

Calculating this gives us:

$-7 + 3 = -4$

Step 2: Apply the absolute value.

The absolute value of any number, $-a$, is its positive counterpart. Therefore, we calculate:

$|-4| = 4$

Conclusion: The absolute value of $-7 + 3$ is $4$.

To solve this problem, we will follow these steps:

• Evaluate the arithmetic expression inside the absolute value symbol.
• Apply the definition of absolute value to determine the result.

Now, let's work through each step:
Step 1: Evaluate the expression $5 - 9$.
- To find $5 - 9$, we subtract 9 from 5, which gives us $-4$.

Step 2: Apply the absolute value.
- The absolute value of a number is its non-negative value. Since $-4$ is negative, we take the opposite: $|-4| = 4$.

Therefore, the absolute value of $5 - 9$ is $4$.

To solve this problem, we'll follow these steps:

• Step 1: Subtract 7 from 5 to find $5 - 7$.
• Step 2: Determine the sign of the result from Step 1.
• Step 3: Apply the absolute value definition to the result.

Now, let's work through each step:

Step 1: Calculate $5 - 7$.
$5 - 7 = -2$

Step 2: The result from Step 1, $-2$, is negative.

Step 3: Apply the absolute value definition. Since the result is negative, we take the opposite of $-2$:
$|-2| = 2$

Therefore, the solution to the problem is $2$.

To solve this problem, we will follow these steps:

• Step 1: Simplify the expression inside the absolute value symbol.
• Step 2: Apply the definition of absolute value to the simplified expression.

Step 1: We start by evaluating the expression inside the absolute value, $-8 + 3$.
When we calculate $-8 + 3$, we perform the operation:

$-8 + 3 = -5$.

Step 2: Now that we have simplified the expression to $-5$, we apply the absolute value definition. The absolute value of $-5$ is found using the rule for absolute values:

Since $-5$ is less than zero, we use the definition: $|x| = -x$ when $x < 0$.

Therefore, $|-5| = -(-5) = 5$.

Thus, the solution to the problem is $5$.

First, calculate $3^3$. That is, $3 \times 3 \times 3 = 27$.

Next, subtract 5 from 27: $27 - 5 = 22$.

Finally, the absolute value of 22 is $|22| = 22$ since it is already a positive number.

First, calculate $6^2$. That is, $6 \times 6 = 36$.

Next, subtract 10 from 36: $36 - 10 = 26$.

Finally, the absolute value of 26 is $|26| = 26$ since it is already a positive number.

First, calculate $5^2$. That is, $5 \times 5 = 25$.

Next, subtract 24 from 25: $25 - 24 = 1$.

Finally, the absolute value of 1 is $|1| = 1$ since it is already a positive number.

The expression $|7 - 10|$ represents the absolute value of the difference between 7 and 10.

Calculate the difference: $7 - 10 = -3$.

The absolute value of a negative number is its positive counterpart, so $|-3| = 3$.

The expression $\left|2^3 - 5\right|$ represents the absolute value of the result of subtracting 5 from $2^3$.

Calculate the power: $2^3 = 8$.

Subtract the numbers: $8 - 5 = 3$.

The absolute value of 3 is $3$, so the answer is $3$.

The expression $\left|(9 - 3)^2\right|$ represents the absolute value of the square of (9 - 3).

Calculate the difference: $9 - 3 = 6$.

Then compute the square: $6^2 = 36$.

The absolute value of $36$ is $36$.

The expression inside the absolute value is $3^2 - 7$. Calculate $3^2$:
$3^2 = 9$.

Then, subtract 7 from 9:
$9 - 7 = 2$.

The absolute value of 2 is 2, so the expression evaluates to 2. Therefore, |3^2 - 7| = 2.

First, calculate $3^1$:
$3^1 = 3$.

Then, subtract 3 from 4:
$4 - 3 = 1$.

The absolute value of 1 is 1, so the expression evaluates to 1. Therefore, |4 - 3^1| = 1.

First, perform the division: $\frac{9}{3} = 3$.

Then, subtract 4 from 3:
$3 - 4 = -1$.

The absolute value of -1 is 1, so the expression evaluates to 1. However, the absolute value takes the non-negative result, so we need to express: |3 - 4| = 1.