Mathematics, 08.01.2021 19:40 mhwalters

Match the expression to the correct property that is shown. Question 3 options:

Identity Property of Multiplication

Identity Property of Addition

Distributive Property

Multiplicative Property of Zero

Commutative Property of Addition

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Multiplication

1.
9+2+(4+3)=9+(2+4)+3

2.
y(xz)=(yx)z

3.
4+3+2=2+4+3

4.
5x ∙ 0=0

5.
-12 + 0 = -12

6.
−110×1=−110
7.
m∙4∙3=4∙m∙3

8.
4(3x+1)=12x+4

Answers: 2

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Answer from: kianofou853

This is a help site, so I'll explain each property and see if you can match them yourself.

Associative property of addition, you can add 3 or more different numbers any which way, the sum will be the same.

Commutative Property of Addition - same as the associative property but with 2 numbers.

Identity Property of Multiplication - Any number multiplied by one is itself

Multiplicative Property of Zero: x * 0 = 0

Associative Property of Multiplication - Same as that of addition, yet with multiplication.

Distributive Property: Factoring Out.

EX: (12 x 15) = 3(4 x 5)

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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Match the expression to the correct property that is shown. Question 3 options:

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