Transposing a number is the same as adding its additive inverse to both sides. The result is that (1) the number disappears from the side it was on and (2) its additive inverse appears on the other side.
Lots of uncommon words: easier to explain with an example.
Suppose you have x + 3 = y
The additive inverse of 3 is the number that you have to add to three to get an answer of 0. And that number is -3.
Adding -3 to both sides of the above equation gives:
x + 3 - 3 = y - 3
But x + 3 - 3 = x
So that x = y - 3
and in effect, you have transposed 3 to the other side along with the sign change.
Chat with our AI personalities
flip the sign, meaning change < to > or > to <
To find the additive inverse of any number, just change the plus sign (or no sign) to a minus sign, or (as in this case), if there already is a minus sign, change it to a plus sign (or no sign).
you subtract the two numbers and keep the highest number sign Ex. -10+7=-3 Ex. 10-(-5) " add a line and change the sign" 10+5= 15 and if you need more help just ask ^_^
Yes it does. My teacher taught me a cool trick when subtracting negative numbers. You keep the first number(negative or positive) change the sign to a plus and change the sign of the second number.
In the simplest case, if there is a minus sign in front of a number, just take it away. If there is a plus sign, or no sign, no change is required.