Which of the following statement is true?1.the absolute value of an in...
True Statement Explanation:
1. Absolute value of an integer is always greater than the integer:
- The absolute value of an integer is the distance of the number from zero on the number line, so it is always non-negative.
- For example, the absolute value of -5 is 5, which is greater than -5.
2. Difference between an integer and its additive inverse is always even:
- The additive inverse of an integer is the number that when added to the original integer gives zero.
- For example, the additive inverse of 3 is -3. The difference between 3 and -3 is 6, which is an even number.
3. -3 is to the left of -6 on the number line:
- In the number line, as we move from left to right, the numbers increase.
- Therefore, -3 is indeed to the left of -6 on the number line.
4. Sum of any two negative integers is always smaller than both integers:
- When adding two negative integers, the sum will be more negative.
- For example, -2 + (-3) = -5, which is smaller than both -2 and -3.
In conclusion, the true statement among the given options is that -3 is to the left of -6 on the number line. The other statements are not accurate based on the properties of integers and the number line.