Properties of Equality
1) 12 X 2 = 24 so
(12 X 2)/6 = 24/6
2) 19-4=15 so
(19-4)+6 = 15+6
3) 21+7=28 so
(21+7)-18 = 28-18
what properties are they looking for?
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First: division property
second: addition property
third: subtraction property
They are only demonstrating that you can add, subtract or multiply both sides of an equation by equal amounts, and still end up with a valid equation.
It was too obvious! I have been out of this for a while, my other daughter is 25! Thank you.
Thank you. This was too obvious to someone who's other daughter is 25!
The properties of equality that are being demonstrated in the given examples are as follows:
1) Division Property of Equality: In the first example, the equation "12 X 2 = 24" is divided by 6 on both sides to maintain equality. This property states that if you divide both sides of an equation by the same non-zero number, the equality remains unchanged.
2) Addition Property of Equality: In the second example, the equation "19-4=15" is added by 6 on both sides. The addition property of equality states that if you add the same number to both sides of an equation, the equality remains unchanged.
3) Subtraction Property of Equality: In the third example, the equation "21+7=28" is subtracted by 18 on both sides. The subtraction property of equality states that if you subtract the same number from both sides of an equation, the equality remains unchanged.
By applying these properties, you can perform operations on both sides of an equation and still maintain the equality. This allows you to simplify or manipulate equations to solve for unknown variables or prove certain mathematical relationships.