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3 years ago

If 544+366=910 then 910-544=366 explain why the statement is true using numbers,pictures,or words

Mathematics

2 answers:

max2010maxim [7]3 years ago

6 0

Answer:

Down here

Step-by-step explanation:

544 + 366 = 910

910-544 = 366

Reformat the top equation:

544 + 366 = 910
366 = 910 - 544
910 - 544 = 366

Pause:

Notice how the current equation and the second equation are the same. This proves that both equations are the same.

-Chetan K

amm18123 years ago

3 0

Explanation:

Geometrically

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.

Algebraically

The subtraction property of equality 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

Additional comment

Essentially, every addition equation has two dual subtraction equations. 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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