Solve the mathematical problem involving absolute value.
6−|6−3|+10
(1 point)
Responses
7
7
−1
negative 1
19
19
13
13
The solution is 13.
To solve the mathematical expression 6−|6−3|+10, let's break it down step-by-step:
Step 1: Evaluate the expression within the absolute value brackets (| |). In this case, we have |6 - 3|.
Since 6 - 3 equals 3, the expression within the absolute value brackets simplifies to |3|.
Step 2: Calculate the absolute value of 3. The absolute value of a positive number is the number itself, so |3| is equal to 3.
Step 3: Substitute the absolute value expression with its result. Now we have 6 - 3 + 10.
Step 4: Perform the remaining subtraction and addition.
6 - 3 equals 3, so the expression simplifies to 3 + 10.
Step 5: Add the two numbers: 3 + 10 equals 13.
Therefore, the solution to the mathematical expression 6−|6−3|+10 is 13.