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.
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.
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 need to be aware that when subtracting a negative number (double negative), the sign changes and you instead add the number. So what you have here as 36 - -1 - 10, you can change the sign of the double negative to an addition sign, so rather it reads 36 + 1 - 10. Note that the second negative sign did not change because it is by itself, not a double negative. You end up with the result 27.
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 ^_^
6 - (-2) when changing the first sign ( which is the mechanistic form here ) you need to change the second sign. The subtraction sign changes to positive and the negative sign also changes to positive. so... 6 - (-2) becomes 6 + 2 = 8
Leave it alone. You cannot make an inequality into an equality by multiplying both sides of the inequation by the same number. If instead of the inequality sign you are using a lesser or greater than sign, however, you will need to reverse it if you multiply both sides by the same negative number, e.g. 10>4. If you multiply both sides by -2, you need to change the > into a <, so -20<-8
whenever you multiply or divide by a negative number
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.
The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.
The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
you change the minus to a positive and change the 2nd positive number to a negative number..the answer can be either negative or positive depending on the sign of the greatest number(: