Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,401 questions

17,804 answers

1,438 comments

43,387 users

What are these properties PLEASE HELP?

0 votes

5 * 1 = 5
5(x+2) = 5x + 10
2 * 3 = 3 * 2

asked Mar 2, 2013 in PRE-ALGEBRA by abstain12 Apprentice

2 Answers

0 votes

5*1=5

Indenty property:a*1=a

 5*1=5

 

5(x+2)=5x+10

Distributive property:  a( b + c) = ab + ac

 5(x+2) = 5(x) + 5(2)

5(x+2) = 5x+10

 

2*3 = 3*2

Commutative property :a*b=b*a

2*3=3*2

answered Mar 4, 2013 by hussy Rookie
0 votes

Properties of Basic Mathematical Operations

Click here to find out more!Some properties (axioms) of addition:  Closure is when all answers fall into the original set. If you add two even numbers, the answer is still an even number (2 + 4 = 6); therefore, the set of even numbers is closed under addition (has closure).
Commutative means that the order does not make any difference in the operation's result.

Note: Commutative does not hold for subtraction.

Associative means that the grouping does not make any difference in the operation's result.

The grouping has changed (parentheses moved), but the sides are still equal.

Note: Associative does not hold for subtraction.

The identity element for addition is 0. Any number added to 0 gives you the original number.

The additive inverse is the opposite (negative) of the number. Any number plus its additive inverse equals 0 (the identity).

3 + (–3) = 0; therefore, 3 and –3 are additive inverses.–4 + 4 = 0; therefore, –4 and 4 are additive inverses.a + (– a) = 0; therefore, a and – a are additive inverses.

Some properties (axioms) of multiplication

Closure is when all answers fall into the original set. If you multiply two even numbers, the answer is still an even number (2 × 4 = 8); therefore, the set of even numbers is closed under multiplication (has closure).

Commutative means that the order does not make any difference in the operation's result.

Note: Commutative does not hold for division.

Associative means that the grouping does not make any difference in the operation's result.

The grouping has changed (parentheses moved), but the sides are still equal.

Note: Associative does not hold for division.

The identity element for multiplication is 1. Any number multiplied by 1 gives the original number.

The multiplicative inverse is the reciprocal of the number. Any nonzero number multiplied by its reciprocal equals 1.

equation; therefore, 2 and equation are multiplicative inverses, or reciprocals. equation; therefore, a and equation are multiplicative inverses, or reciprocals (provided a ≠ 0).

A property of two operations

The distributive property is the process of distributing, using multiplication, the number on the outside of the parentheses to each term on the inside. The terms within the parentheses are separated by either addition or subtraction.

Click here to find out more!Note: You cannot use the distributive property with only one operation.

 

answered Mar 4, 2013 by kevin Rookie

Related questions

asked Nov 6, 2014 in PRE-ALGEBRA by anonymous
asked Dec 31, 2017 in ALGEBRA 1 by anonymous
...