1Sara-Math

**رؤية** **__ترتيب العمليات __** When expressions have more than one operation, we have to follow rules for the order of operations: Click Show Me to see the correct order to solve the expression below: 
 * 1) First do all operations that lie inside parentheses.
 * 2) Next, do any work with exponents or radicals.
 * 3) Working from left to right, do all multiplication and division.
 * 4) Finally, working from left to right, do all addition and subtraction.

<span style="color: red; font-family: 'Verdana','sans-serif'; font-size: 10pt;">Click Show Me to see the correct order to solve the expression below:

<span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: left; unicode-bidi: embed;"><span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">When an expression contains more than one operation, you can get different answers depending on the order in which you solve the expression. Mathematicians have agreed on a certain order for evaluating expressions, so we all arrive at the same answers. We often use grouping symbols, like parentheses, to help us organize complicated expressions into simpler ones. Here's the order we use: <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: left; unicode-bidi: embed;"><span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">In Example 1, without any parentheses, the problem is solved by working from left to right and performing all the addition and subtraction. When parentheses are used, you first perform the operations inside the parentheses, and you'll get a different answer! <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: left; unicode-bidi: embed;">**//<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">Example 1 - Parenthesis //** || <span style="direction: ltr; display: block; font-family: 'Times New Roman','serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">Without Parenthesis <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">1 + 3 = ** <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">4 ** || <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">8 - (7 + 3) = ** <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">8 - 10 = ** <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">-2 ** || <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: left; unicode-bidi: embed;">**//<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">Example 2 //** || <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">Order of Operations ** <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">4 x 5 - 21 + 55 = ** <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">OR ** <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">80/4 - 21 + 55 = ** <span style="direction: ltr; display: block; font-family: 'Verdana','sans-serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">(4 x 5 and 80/4 both = 20) || <span style="direction: ltr; font-family: 'Times New Roman','serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 0pt; text-align: left; unicode-bidi: embed;">Working from left to right, do all multiplications and divisions. When there are several of these operations in the same term, the order within the term doesn't matter ||
 * 1) <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt 36pt; text-align: left; unicode-bidi: embed;"><span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">First, do all operations that lie inside parentheses.
 * 2) <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt 36pt; text-align: left; unicode-bidi: embed;"><span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">Next, do any work with exponents or roots.
 * 3) <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt 36pt; text-align: left; unicode-bidi: embed;"><span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">Working from left to right, do all multiplication and division.
 * 4) <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt 36pt; text-align: left; unicode-bidi: embed;"><span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">Finally, working from left to right, do all addition and subtraction.
 * <span style="direction: ltr; display: block; font-family: 'Times New Roman','serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">With Parenthesis ||
 * <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">8 - 7 + 3 = **
 * <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Times New Roman','serif'; font-size: 10pt;">Explanation ** ||
 * <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 10pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">22 x 20/4 - 7 x 3 + 55 = ** || <span style="direction: ltr; font-family: 'Times New Roman','serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 10pt; text-align: left; unicode-bidi: embed;">Calculate the exponent ||
 * <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">4 x 20/4 - 7 x 3 + 55 = **
 * <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">20 - 21 + 55 = ** || <span style="direction: ltr; font-family: 'Times New Roman','serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 0pt; text-align: left; unicode-bidi: embed;">Add and subtract from left to right ||
 * <span style="direction: ltr; display: block; line-height: normal; margin: 0cm 0cm 0pt; text-align: center; unicode-bidi: embed;">**<span style="font-family: 'Verdana','sans-serif'; font-size: 10pt;">54 ** || <span style="direction: ltr; font-family: 'Times New Roman','serif'; font-size: 10pt; line-height: normal; margin: 0cm 0cm 0pt; text-align: left; unicode-bidi: embed;">The correct answer! ||

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