# Directed Numbers

[b]Positive and negative numbers are called directed numbers[/b] [img src='https://res.cloudinary.com/deylrqt2d/image/upload/v1484439665/mathsimage_1_mejhxm.gif'] (this is a number line) An example of a [b]positive[/b] number is [b]4[/b] An example of a [b]negative[/b] number is [b]-6[/b] If I have the number [b]-4[/b] on the number line, and I move [b]6[/b] to the right, I will get [b]2[/b]. This is addition. If I have the number [b]10[/b] on the number line, and I move [b]9[/b] to the right, I will get [b]1[/b]. This is called subtraction. [hr] If a question has one or more consecutive signs [+ or -], it should be cancelled down to one. [table] [tr] [td style='padding:5px;border:1px solid #222;']Double Symbol[/td][td style='padding:5px;border:1px solid #222;']What it cancels to[/td] [/tr] [tr] [td]++[/td][td]+[/td] [/tr] [tr] [td]+-[/td][td]-[/td] [/tr] [tr] [td]-+[/td][td]-[/td] [/tr] [tr] [td]--[/td][td]+[/td] [/tr] [/table] [b]The same consecutive signs make a '+'[/b] [b]Different consecutive signs make a '-'[/b] [h3]Multiplication, Division, Addition and Subtraction[/h3] [table] [tr] [td style='padding:5px;border:1px solid #222;']Double Symbol[/td][td style='padding:5px;border:1px solid #222;']Resultant (+ or -):[/td] [/tr] [tr] [td]+[i]x[/i] [multiply] +[i]x[/i][/td][td]+[i]x[/i][/td] [/tr] [tr] [td]+[i]x[/i] [multiply] -[i]x[/i][/td][td]-[i]x[/i][/td] [/tr] [tr] [td]-[i]x[/i] [multiply] +[i]x[/i][/td][td]-[i]x[/i][/td] [/tr] [tr] [td]-[i]x[/i] [multiply] -[i]x[/i][/td][td]+[i]x[/i][/td] [/tr] [/table] [highlight] [b]2 like signs give a positive. 2 unlike signs give a negative.[/b] [/highlight] [h3]Examples[/h3] [ol] [li](-7)[squared] = -7 [multiply] -7 = +49[/li] [li]4 [multiply] (-7) [divide] (-2) = +14[/li] [li]20 [divide] (-2) [divide] 5 [multiply] (-4) = +8[/li] [li]-25 [divide] -5 = 5[/li] [/ol]