To simplify the expression 14 - 6 - (-15) - |18| + (-7), perform the following steps:
1. Start by addressing the subtraction of a negative number: (-15). Since subtracting a negative is the same as adding a positive number, (-15) can be rewritten as +15.
Expression after substituting (-15): 14 - 6 + 15 - |18| + (-7)
2. Next, determine the value of the absolute value |18|. The absolute value of any number is its distance from zero on a number line, so |18| = 18.
Expression after determining the absolute value of 18: 14 - 6 + 15 - 18 + (-7)
3. To simplify further, subtract 6 from 14. 14 - 6 = 8.
Expression after subtracting 6 from 14: 8 + 15 - 18 + (-7)
4. Combine like terms. Add 8 and 15: 8 + 15 = 23.
Expression after combining like terms: 23 - 18 + (-7)
5. Subtract 18 from 23. 23 - 18 = 5.
Expression after subtracting 18 from 23: 5 + (-7)
6. Finally, add 5 and -7: 5 + (-7) = -2.
Expression after adding 5 and -7: -2
Therefore, the simplified expression is -2.
14-6-(-15)-|18|+(-7)
Show steps
1 answer