If 544+366=910 then 910-544=366 explain why the statement is true using numbers,pictures,or words
2 answers:
Explanation:
<u>Geometrically</u>
The attached drawing shows that the sum of 544 and 366 is 910. It also shows you that 366 is the difference between 910 and 544, and that 544 is the difference between 910 and 366.
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<u>Algebraically</u>
The <em>subtraction property of equality</em> tells you the equal sign in an equation remains valid if the same value is subtracted from both sides of the equation. Other properties of equality and addition can be used to rearrange the equation to the form given in the problem statement.
544 +366 = 910 . . . . . . . . . . . given
544 +366 -544 = 910 -544 . . . . subtract 544 from both sides
544 -544 +366 = 910 -544 . . . . commutative property of addition
0 +366 = 910 -544 . . . . . . . . . . . definition of additive inverse
366 = 910 -544 . . . . . . . . . . . . . . identity element property of addition
910 -544 = 366 . . . . . . . . . . . . . . symmetric property of equality
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<em>Additional comment</em>
Essentially, <em>every addition equation has two dual subtraction equations</em>. For the given addition equation, they are ...
910 -544 = 366 . . . . . . the one of concern here
910 -366 = 544 . . . . . . the other dual equation
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