What is the result of the division modeled by
−108 − (−18) − (−18) − (−18) − (−18) − (−18) − (−18) = 0
The result of the division modeled by the equation above is 0.
To find the result of the division modeled by the expression −108 − (−18) − (−18) − (−18) − (−18) − (−18) − (−18), we need to simplify the expression step by step.
Step 1: Simplify the double negative signs.
-(-18) simplifies to +18
-(-18) simplifies to +18
-(-18) simplifies to +18
-(-18) simplifies to +18
-(-18) simplifies to +18
-(-18) simplifies to +18
After simplifying the double negative signs, the expression becomes:
-108 + 18 + 18 + 18 + 18 + 18 + 18
Step 2: Perform the addition.
-108 + 18 = -90
-90 + 18 = -72
-72 + 18 = -54
-54 + 18 = -36
-36 + 18 = -18
-18 + 18 = 0
After performing the addition, the result of the division modeled by the initial expression is 0.
To solve this division problem, you can follow these steps:
Step 1: Simplify the expression inside the parentheses.
Inside the parentheses, we have repeated subtraction of -18. When you subtract a negative number, it is the same as adding the positive value. So, we can simplify the expression as follows:
-108 - (-18) - (-18) - (-18) - (-18) - (-18) - (-18) = -108 + 18 + 18 + 18 + 18 + 18 + 18
Step 2: Add the numbers.
Now, we can calculate the sum of -108, 18, 18, 18, 18, 18, and 18:
-108 + 18 + 18 + 18 + 18 + 18 + 18 = -108 + 6 * 18
-108 + 6 * 18 = -108 + 108
-108 + 108 = 0
Step 3: Determine the result.
The result of the division, modeled by the given expression, is 0.