10
3 and 4
To find the distance between two integers using the difference, you simply subtract the smaller integer from the larger integer. The result will be the distance between the two integers on the number line. For example, if you have integers 7 and 3, you would subtract 3 from 7 to get a distance of 4. This method works because the difference between two integers gives you the number of units separating them on the number line.
Subtraction of integers is essentially addition of integers except the second integer is inverted. For example: 5 + 3 = 8 is a simple addition of integers. 5 - 3 = 5 is a simple subtraction of integers. It can be expressed by inverting the second value (the one right after the subration sign) and then switching the subtraction sign to an addition sign. So it would look like: 5 + (-3) = 5. Note that (-3) is the opposite of 3. So to do a more confusing subtraction problem like: 55 - (-5), we could rewrite this as: 55 + -(-5). From here it's easy to see that the two negatives cancel out. 55 + 5 = 60.
.13 is .13 units away from 0. To find how close it is to .032 we subtract..13-.032 is .098 so since this is less than .13 we can say that .13 is closer to .032 than it is to 0.It is hard to see this with these numbers. Let's use 3. Is it closer to 0 or 5. 3 is 3 units away from 0 and 5-3=2 so it is 2 units away from 5. In this case it is closer to 5.
The integers between -4 and 3: -3, -2, -1, 0, 1, & 2
10
Two integers that are opposites are -3 and 3. Opposite integers are numbers that are the same distance from zero on the number line but in opposite directions. In this case, -3 is three units to the left of zero, while 3 is three units to the right.
They are -11 and -5.
11
Opposite integers are pairs of integers that are equidistant from zero on a number line but lie on opposite sides of zero. For example, -3 and 3 are opposite integers because they have the same absolute value but differ in sign. Essentially, the opposite of any integer ( n ) is ( -n ). Thus, opposite integers always sum to zero.
Whole numbers are called integers. There are positive integers, for example, 3, and its opposite, a negative integer, -3.
To identify the opposite of an integer on a number line, locate the integer's position on the line. The opposite of that integer is found by moving the same distance in the opposite direction from zero. For example, if the integer is +3, you would move 3 units to the left of zero to find -3, which is its opposite. This visual representation helps clearly show the relationship between integers and their opposites.
12, -12
5
To find the opposite of an integer, simply change its sign. For example, the opposite of 5 is -5, and the opposite of -3 is 3. This means that the opposite of any integer ( n ) can be expressed as ( -n ). The opposite of an integer is located at the same distance from zero on the number line but in the opposite direction.
12√3 units ≈ 20.78 units.
False. Counting numbers (also known as natural numbers) are positive integers starting from 1 (1, 2, 3, ...). The opposite of a counting number would be negative integers or zero, which are also integers, but not all integers are opposites of counting numbers. Thus, while some opposites of counting numbers are integers, not all integers are opposites of counting numbers.