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24Aug/110

Equations with Multiple Operations

Equations with multiple operations have more than one operations within it; such as multiplication, addition, subtraction and or division

Let’s look at some examples …

Step 1: Write the equation

47 x 28 = 47 x [ ] + 47 x 2

We need to find value of the [ ]

Step 2: Add parenthesis at right places
By rule first parenthesis is always around “division” operation, followed by “multiplication” operation, followed by “subtraction” and “addition”. We don’t have division operation in this equation, but, we do have “multiplication” and “addition” operations. Hence, parenthesis would be around “multiplication” operations first. The equation would become …

( 47 x 28) = (47 x [ ]) + (47 x 2)

Step 3: Cross out all the common factors from both sides of the equation ... in this case it is "47"

(47 x 28) = (47 x [ ])+ (47 x 2)

(28) = ([ ]) + (2)

Step 4: Simplify the equation

28 = [ ] + 2

Step 5: Move over numbers to one side of the equation. Remember it changes signs

28 – 2 = [ ]

26 = [ ] OR

[ ] = 26

Step 6: Check if the value is correct by replacing [ ] by 26 in original equation

(47 x 28) = (47 x [ ]) + (47 x 2)

(47 x 28) = (47 x 26 ) + (47 x 2)

1316 = 1222 + 94

1316 = 1316

Hence, the value of [ ] as 26 is correct

Now, let's look at another example ...

Step 1: Write the equation

54 x 36 = 54 x [ ] + 54 x 9

Step 2: Add parenthesis at right places

(54 x 36) = (54 x [ ]) + (54 x 9)

Step 3: Cross out all common factors from both sides of the equation .. in this case it is "54"

( x 36) = ( x [ ]) + ( x 9)

Step 4: Simplify the equation

36 = [ ] + 9

Step 5: Move over numbers to one side of the equation. Remember it changes signs

36 – 9 = [ ]

27 = [ ] OR

[ ] = 27

step 6: Check if the value is correct

(54 x 36)= (54 x 27) + (54 x 9)
1944 = 1458 + 486
1944 = 1944

Hence, the value of [ ] as 27 is correct

For more detailed understanding about Equations with Multiple Operations, watch this video ...


You can view and download Illustration related to Equations with Multiple Operations, by clicking on the image below ...

Equations with Multiple Operations_Illustration

Equations with Multiple Operations_Illustration


For more practice solve the following equations with multiple operations and find the value of [ ] ...

1. 82 x 41 = 82 x [ ] + 82 x 28

2. 64 x 72 = 64 x [ ] + 64 x 30

3. 93 x 35 = 93 x [ ] + 93 x 45

4. Did you find anything different about equation # 3? What was different about it?

Still have questions??? ...

Don't hesitate to send us your questions and or comments below ...

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