Subtracting a negative number is the same as adding a positive number. Also, adding a negative number is the same as subtracting a positive number.
-7 + (-5) = -7 - 5 = -12
-7 - (-5) = -7 + 5 = -2
When subtracting, the number moves to the left (negative direction). When adding, the number moves to the right (positive direction).
Integers include positive whole numbers, negative whole numbers, and zero.The "set of all integers" is often shown like this:Integers = {… -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …} The dots at each end of the set mean that you can keep counting in either direction. The set can also be shown as a number line:The arrows on each end of the number line mean that you can keep counting in either direction.Adding and Subtracting IntegersLooking at a number line can help you when you need to add or subtract integers.Whether you are adding or subtracting two integers, start by using the number line to find the first number. Put your finger on it. Let's say the first number is 3.Then, if you are adding a positive number,move your finger to the right as many places as the value of that number. For example, if you are adding 4, move your finger 4 places to the right. 3 + 4 = 7If you are adding a negative number, move your finger to the left as many places as the value of that number. For example, if you are adding -4, move your finger 4 places to the left. 3 + -4 = -1If you are subtracting a positive number, move your finger to the left as many places as the value of that number. For example, if you are subtracting 4, move your finger 4 places to the left. 3 - 4 = -1If you are subtracting a negative number, move your finger to the right as many places as the value of that number. For example, if you are subtracting -4, move your finger 4 places to the right. 3 - -4 = 7Here are two rules to remember:Adding a negative number is just like subtracting a positive number. 3 + -4 = 3 - 4Subtracting a negative number is just like adding a positive number. The two negatives cancel out each other. 3 + 4 = 3 - -4
Numbers to the right of zero on a number line are positive numbers; to the left are the negative numbers.
The best way to understand this is probably by thinking of the real number line:Subtracting can be thought of as switching directions as you move along the number line. For instance, 5 + 3 means you start at position 5 on the positive side of the number line and move to the right, the positive direction, 3 integral ticks. However, 5 - 3 means you switch directions. Now, you start at position 5 and move left, the negative direction, 3 integral ticks.Negation can be thought of in the same manner as subtraction; i.e. as a directional change on the number line. Using the above example, that would mean that for 5 + (-3) you would once again start at position 5 on the positive side of the number line and start to move right, since that what addition means. However, the negative sign in front of the 3 forces you to change direction, so instead you end up moving left 3 integral ticks.Now, to finally answer your question. 5 - (-3), using the number line, would again mean that you would start at position 5 on the positive side. The subtraction operation, as explained above, means that you would move left 3 ticks instead of right. However, the negation of 3, also explained above, means that you would once again switch directions, this time from left to right, and ultimately move 3 ticks that way, the positive direction. Hopefully, you can see that the end result of both 5 + 3 and 5 - (-3) has you moving 3 ticks in the same direction, that being the positive direction, which is why they can be thought of as the same operation.
no negative numbers are always smaller than positive numbers..... you can draw out a numberline and see any number to the left of the number zero is negative and to the right is positive
Subtracting a negative number has the same effect as adding a positive number - think of it as moving right on a number line whereas, subtracting a positive number will move you left on a number line.
When subtracting, the number moves to the left (negative direction). When adding, the number moves to the right (positive direction).
Because numbers don't stop. Think of a number (positive or negative) as a point on a number line. You can move to the right by adding to it and to the left by subtracting from it.
Subtracting a positive number from a negative number is the same as adding two negative numbers, which is like adding two positive numbers except you're going to the left from zero on the number line instead of to the right. The rule is to add the absolute values (the numbers without the signs) of the two numbers and keep the negative sign. For example, -3 - 5 = (-3) + (-5) = -1 * (3 + 5) = -8.
Subtracting: Positive - Negative = Positive Negative - Positive = Negative No that is not the way it goes. It is positive+negetive=either counting on which integer is bigger negative+negative=positive positive+positive=positive positive x negetive=negative negative x postitve= negative negative/positive=negative positive/negative=negetive thanks The top is right though because subtracting a negative is like adding so you could never get a negative and subtracting from a positive from negative will always be a negative. The question was for integers with different signs so you don't need to do "positive + positive"
Adding IntegersTo add integers, one must consider the following two rules to be a successful.If you want to think of it on the number line you start from 0 and when you add a positive number you go that much to the right, and when you add a negative number you go that much to the left. When adding two positive integers, just add like normal. When adding one positive integer, and one negative integer, it is like subtracting a positive number from a positive number. When adding two negative integers, it is like subtracting a positive number from a negative number.
Subtracting a negative is the same as adding a positive, so you would move that many to the right on the number line. For example, 4 - (-20) is the same as 4 + 20, so you would start at 4 and move 20 spaces to the right, and end up with 24 as your answer.
Integers include positive whole numbers, negative whole numbers, and zero.The "set of all integers" is often shown like this:Integers = {… -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …} The dots at each end of the set mean that you can keep counting in either direction. The set can also be shown as a number line:The arrows on each end of the number line mean that you can keep counting in either direction.Adding and Subtracting IntegersLooking at a number line can help you when you need to add or subtract integers.Whether you are adding or subtracting two integers, start by using the number line to find the first number. Put your finger on it. Let's say the first number is 3.Then, if you are adding a positive number,move your finger to the right as many places as the value of that number. For example, if you are adding 4, move your finger 4 places to the right. 3 + 4 = 7If you are adding a negative number, move your finger to the left as many places as the value of that number. For example, if you are adding -4, move your finger 4 places to the left. 3 + -4 = -1If you are subtracting a positive number, move your finger to the left as many places as the value of that number. For example, if you are subtracting 4, move your finger 4 places to the left. 3 - 4 = -1If you are subtracting a negative number, move your finger to the right as many places as the value of that number. For example, if you are subtracting -4, move your finger 4 places to the right. 3 - -4 = 7Here are two rules to remember:Adding a negative number is just like subtracting a positive number. 3 + -4 = 3 - 4Subtracting a negative number is just like adding a positive number. The two negatives cancel out each other. 3 + 4 = 3 - -4
the line rises to the left if it is negative instead of the right. \ .\ ..\ ...\ ....\ .....\ ......\ like that
The answer to this is a little counterintuitive. positive X positive = positive negative X positive = negative positive X negative = negative negative X negative = positive Do you see the pattern? Two positives and two negatives will always be positive. Think of yourself standing on a number line. If you're a positive number you will be facing to the right. If you are multiplied by a positive number you will move to the right (positive). If you are negative number, you will be facing to the left, but when multiplied by a negative number you have to move backwards, which is now to the right--a positive number! Think of yourself as always facing right when a positive number and facing left when a negative number and then go forward or backward with the next number.
When you add a negative number, the one on the right side gets cancelled out. E.g. -3x + - 3x = -3x
to the right of it