document.write( "Question 116595This question is from textbook Basic College Math
\n" ); document.write( ": I don't understand the \"moving\" part. I'm not sure when to add and when to subtract. And if the numbers are negative or positive. I do understand the distributive part though. \n" ); document.write( "

Algebra.Com's Answer #84779 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Means: you need to У $\"add\"$ Ф to find the \" $\"sum\"$ ,\" and you need to У $\"subtract\"$ Ф to find the \" $\"difference\"$ \"\r
\n" ); document.write( "\n" ); document.write( " $\"Positive\"$ $\"numbers\"$ are any numbers $\"greater\"$ than $\"zero\"$ , for example: 1, 2.9, 3.14, 40000\r
\n" ); document.write( "\n" ); document.write( " $\"1%3E0\"$
\n" ); document.write( " $\"3.14%3E0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"Negative\"$ $\"numbers\"$ are any numbers $\"less\"$ than $\"zero\"$ , for example: -1, -2.9, -3.14, -40000\r
\n" ); document.write( "\n" ); document.write( " $\"-1%3C0\"$
\n" ); document.write( " $\"-3.14%3C0\"$ \r
\n" ); document.write( "\n" ); document.write( "We do $\"not\"$ consider $\"zero\"$ to be a positive or negative number. \r
\n" ); document.write( "\n" ); document.write( "The $\"sum+\"$ of any number and its opposite is 0.\r
\n" ); document.write( "\n" ); document.write( "If we have number $\"3\"$ , its opposite is $\"-3\"$ ; then, their sum is $\"3+%2B%28-3%29+=+3-3+=+0\"$
\n" ); document.write( "The $\"sign+\"$ $\"of+\"$ $\"a\"$ $\"+number\"$ refers to whether the number is $\"positive\"$ or $\"negative\"$ , for example:\r
\n" ); document.write( "\n" ); document.write( " the sign of $\"-3\"$ is $\"minus\"$ or $\"negative\"$ , and the sign of 442 is $\"plus\"$ or $\"positive\"$ . As you can see, we donТt have to write + sign in front of positive number ( when we see 442, we know it is +442)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Adding Positive and Negative Numbers\r
\n" ); document.write( "\n" ); document.write( "When adding numbers of the same sign, we $\"add\"$ their $\"absolute\"$ $\"+values\"$ , and give the result the $\"same+\"$ $\"sign\"$ .
\n" ); document.write( " $\"%28%2B2%29+%2B+%28%2B5%29+=+%28%2B7%29\"$ \r
\n" ); document.write( "\n" ); document.write( "When adding numbers of the $\"opposite\"$ signs, we take their absolute values, $\"subtract\"$ the $\"smaller\"$ from the $\"larger\"$ , and $\"give\"$ the $\"result\"$ the sign of the number with the $\"larger\"$ absolute value.
\n" ); document.write( " $\"%28-2%29+%2B+%28%2B5%29+=+%28%2B3%29\"$ ЕЕЕ. $\"subtract\"$ the $\"2\"$ from the $\"5\"$ ( (+5) has $\"larger\"$ absolute value) and $\"give\"$ the $\"result\"$ the sign of the number with the $\"larger\"$ absolute value, number (+5)\r
\n" ); document.write( "\n" ); document.write( "Or, you can have this;
\n" ); document.write( " $\"%28%2B2%29+%2B+%28-5%29+=+%28-3%29\"$ ЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( "Subtracting Positive and Negative Numbers\r
\n" ); document.write( "\n" ); document.write( " $\"Subtracting\"$ a number is the same as adding its opposite; we convert the subtracted number to its opposite, and add the two numbers.
\n" ); document.write( " $\"7+-+4+=+7+%2B+%28-4%29+=+2\"$
\n" ); document.write( "the result of subtracting two numbers can be $\"positive\"$ , can be $\"negative\"$ , or can be $\"0\"$
\n" ); document.write( "Multiplying Positive and Negative Numbers\r
\n" ); document.write( "\n" ); document.write( "Simple rules:\r
\n" ); document.write( "\n" ); document.write( "+*+ = +ЕЕЕ. both numbers are positive, their product will be positive \r
\n" ); document.write( "\n" ); document.write( "+*- = -ЕЕЕЕif one number is positive and the other one is negative,
\n" ); document.write( "-*+ = -ЕЕЕЕ their product will be negative \r
\n" ); document.write( "\n" ); document.write( "-*- = +ЕЕЕ. both numbers are negative, their product will be positive\r
\n" ); document.write( "\n" ); document.write( "Dividing Positive and Negative Numbers\r
\n" ); document.write( "\n" ); document.write( "a. If both numbers are positive, we just divide as usual\r
\n" ); document.write( "\n" ); document.write( "b. If both numbers are negative, so we divide the absolute value of the first by the absolute value of the second
\n" ); document.write( " $\"%28-4%29%2F%28-2%29+=+4%2F2=2\"$ \r
\n" ); document.write( "\n" ); document.write( "c. if both number have different signs, so we divide the absolute value of the first number by the absolute value of the second and give this result a negative sign\r
\n" ); document.write( "\n" ); document.write( " $\"%28-4%29%2F%282%29+=+-4%2F2=-2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );