1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
2 years ago
15

Associative property under whole numbers and integers. with an example​

Mathematics
2 answers:
love history [14]2 years ago
6 0

Answer:

When we multiply three or more whole numbers, the value of the product remains the same when they are grouped in any manner. ... Thus, if 'a', 'b', and 'c' are three whole numbers, then a × (b × c) = (a × b) × c = (a × c) × b. For example, 6 × (7 × 2) = (6 × 7) × 2 = (6 × 2) × 7 = 84.

adelina 88 [10]2 years ago
4 0

This property of the whole numbers tells that the order of addition does not change the value of the sum. Let a and b are two whole numbers, then a + b = b + a. Suppose a = 10 and b = 18 ⇒ 10 + 18 = 28 = 18 + 10.

Associative Property

When we add three or more whole numbers, the value of the sum remains the same. The order of addition of numbers is not important. Or, in other words, the numbers can be grouped in any manner. The sum remains the same. This is the associative property of addition.

If a, b, and c are three whole numbers, then a + (b + c) = (a + b) + c = (a + c) + b. For example, 10 + (5 + 12) = (10 + 5) + 12 = (10 + 12) + 5 = 27

Additive Identity

This is the property of zero by which the value of the whole number remains the same when added to any whole number. Zero is the additive identity of whole numbers. If w is a whole number, then w + 0 = w = 0 + w. For example, 0 + 7 = 7 = 7 + 0.

Properties of Subtraction

Closure Property

When one whole number is subtracted from another, the difference is not always a whole number. This means that the whole numbers are not closed under subtraction. If a and b are two whole numbers and a − b = c, then c is not always a whole number. Take a = 7 and b = 5, a − b = 7 − 5 = 2 and b − a = 5 − 7 = −2 (not a whole number).

Commutative Property

Subtraction of two whole numbers is not commutative. This means we cannot subtract two whole numbers in any order and get the same result. Let a and b be two whole numbers, then a − b ≠ b − a. Take a = 7 and b = 5, 7 − 5 = 2 ≠ 5 − 7 = −2.

Associative Property

An associative property does not hold for the subtraction of whole numbers. This means that we cannot group any two whole numbers and subtract them first. Order of subtraction is an important factor. If ‘a’, ‘b’, and ‘c’ are the three whole numbers then, a − (b − c) ≠ (a − b) − c. Consider the case when a = 8, b = 5 and c = 2, 8 − (5 − 2) = 5 ≠ (8 − 5) − 2 = 1.

Subtractive Property of Zero

When we subtract zero from a whole number, the value of the whole number remains the same. Take an example, a = 98, a − 0 = 98 − 0 = 98.

Properties of MultiplicationClosure PropertyMultiplication of two whole numbers will result in a whole number. Suppose, a and b are the two whole numbers and a × b = c, then c is also a whole number. Let a = 10, b = 5, 10 × 5 = 50 (whole number). The whole number is closed under multiplication

.

You might be interested in
Which method would be more efiicient to solve the system y=1/2x and 2x+3y=28
Licemer1 [7]
Probably the subsitution method


y=1/2x
subsitute that fr y

2x+3(1/2x)=28
2x+3/2x=28
times 2 both sides
4x+3x=56
7x=56
divide by 7 both sides
x=8
sub back

y=1/2x
y=1/2(8)
y=4

(x,y)
(8,4)
6 0
2 years ago
What is the standard form of the equation of the circle to the right?​
olga_2 [115]
Use y=Mx+B plug in correct spot
3 0
3 years ago
PLEASE HELP!! <br><br> Also the last option is <br><br> 4 units left and 3 units down
sergeinik [125]

Answer:

B

Step-by-step explanation:

7 0
2 years ago
Solve each of the following exponential equations
Vika [28.1K]
5^x = 5^6

x = 6

hope it helps
4 0
2 years ago
NEED HELP ASAP
mezya [45]

Answer:

5, 3

Step-by-step explanation:

correct on edge2020

5 0
2 years ago
Read 2 more answers
Other questions:
  • Help plz with 17,18,19
    6·2 answers
  • At the start of the football game there were 640 fans in the stadium. It begun to rain during halftime, so 10% of the fans went
    7·1 answer
  • Find the probability that a randomly chosen point in the
    13·1 answer
  • 40/6 as a mixed number and in simpliest form
    7·1 answer
  • What are the two parts of an atom?
    11·2 answers
  • Find the solutions to the equation below x^2-25=0
    8·2 answers
  • James invests $5,000 at an annual rate of 8% simple interest for 7 years. How much is in the account
    7·1 answer
  • In 2002, Tiger Woods won the masters tournament. His scores were -4, -3, -2, and -1. What was his final score?
    6·1 answer
  • Solve for x. please help me this question is so hard
    8·1 answer
  • Factor completely:<br><br> –abc –5ac –4ab –20a
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!