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Identify the Properties of Mathematics
1 ) Adding 0 to any number leaves it unchanged. For example a + 0 = a.
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2 ) The additive inverse of a number, a is -a so that a + -a = 0.
____________________
3 ) When three or more numbers are added, the sum is the same regardless
of the grouping of the addends. For example (a + b) + c = a + (b + c)
____________________
4 ) The equals sign is like a mirror, and the image it "reflects" is the same as
the original. if a = a: anything is congruent to itself.
5 ) The product of any number and one is that number. For example a x 1 = a.
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6 ) The sum of any number and zero is the original number. For example a + 0 = a. ____________________
7 ) If you divide the same number to both sides of an equation, the equation
is still true. For example if a = b, then a / c = b / c.
1
1
8 ) The multiplicative inverse of a number, a is _a so that a x _a = 1.
____________________
____________________
9 ) If you multiply the same number to both sides of an equation, the equation
is still true. For example if a = b, then a x c = b x c.
____________________
10 ) If you add the same number to both sides of an equation, the equation
is still true. For example if a = b, then a + c = b + c.
____________________
Math-Aids.Com
Name :
Score :
Teacher :
Date :
Identify the Properties of Mathematics
1 ) Adding 0 to any number leaves it unchanged. For example a + 0 = a.
Addition Property of Zero
____________________
2 ) The additive inverse of a number, a is -a so that a + -a = 0.
Additive
Inverse of a Number
____________________
3 ) When three or more numbers are added, the sum is the same regardless
of the grouping of the addends. For example (a + b) + c = a + (b + c)
Associative Property of Addition
____________________
4 ) The equals sign is like a mirror, and the image it "reflects" is the same as
the original. if a = a: anything is congruent to itself.
5 ) The product of any number and one is that number. For example a x 1 = a.
Reflexive
Property of Equality
____________________
Identity Property of Multiplication
____________________
Property of Addition
6 ) The sum of any number and zero is the original number. For example a + 0 = a. Identity
____________________
7 ) If you divide the same number to both sides of an equation, the equation
is still true. For example if a = b, then a / c = b / c.
1
1
8 ) The multiplicative inverse of a number, a is _a so that a x _a = 1.
Property of Equality for Division
____________________
Multiplicative
Inverse of a Number
____________________
9 ) If you multiply the same number to both sides of an equation, the equation
is still true. For example if a = b, then a x c = b x c.
Property of Equality for Multiplication
____________________
10 ) If you add the same number to both sides of an equation, the equation
is still true. For example if a = b, then a + c = b + c.
Property
of Equality for Addition
____________________
Math-Aids.Com