![merry69](/avatars/41425.jpg)
merry69
03.09.2021 •
Mathematics
Write an equation in which the distributive property, commutative property, associative property, addition or subtraction property, and multiplication property can be used to find the solution. Then solve the equation. Justify each step.
Solved
Show answers
More tips
- L Leisure and Entertainment Unlocking the Secrets of Fast and Effective Tectonic Learning...
- S Style and Beauty How to Choose the Perfect Hair Color?...
- C Computers and Internet Best iPad Games: Our Opinion...
- A Animals and plants Man s Best Friend: Which Dog Breed Is the Most Friendly?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
Answers on questions: Mathematics
- M Mathematics Consider the two expressions. Expression 1Expression 2 9x+x2(5x) Which statement is true? Expression 1 is equivalent to Expression 2 because the two expressions have...
- M Mathematics Y = -4x - 24 y + 2x = 8 How would I solve by substitution step by step?...
- M Mathematics Are we going to start with the subtraction or the multiplication? Subtraction Multiplication...
- M Mathematics How many cubic units are in the rectangular prism shown...
- M Mathematics Carlos has $50 in his saving account. he deposits $100 on his birthday. Every month after his birthday, he deposits $25. which equation can be used to calculate the...
- M Mathematics Jenny and Jill are 2000ft apart. Jenny spots Jose at a 40° angle, Jill spots him at a 65° angle. How much farther from Jose is Jenny than Jill?...
- M Mathematics Work out the diameter of a circle with area = 9 cm? The diameter of the circle is cm (3 s.f.)....
- M Mathematics Based on its origins, the best definition for glutton is...
- M Mathematics The price of a laptop changed from $350.00 to $550.00. What is the percent change in the cost of the laptop? a. 57.14% decrease b. 57.14% increase c. 200% increase d....
- M Mathematics Know this question I don’t know what this is...
Ответ:
Write an equation in which the distributive property, commutative property, associative property, addition or subtraction property, and multiplication property can be used to find the solution. Then solve the equation. Justify each step.
Ответ:
There are many times in algebra when you need to simplify an expression. The properties of real numbers provide tools to help you take a complicated expression and simplify it.
The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.
Step-by-step explanation:
Commutative Property of Multiplication
For any real numbers a and b, a · b = b · aOrder does not matter as long as the two quantities are being multiplied together. This property works for real numbers and for variables that represent real numbers.
just as subtraction is not commutative, neither is division commutative. 4 ÷ 2 does not have the same quotient as 2 ÷ 4.Associative Property of Addition
For any real numbers a, b, and c, (a + b) + c = a + (b + c).
Associative Property of Multiplication
For any real numbers a, b, and c, (a • b) • c = a • (b • c).Multiplication has an associative property that works exactly the same as the one for addition. The associative property of multiplication states that numbers in a multiplication expression can be regrouped using parentheses. For example, the expression below can be rewritten in two different ways using the associative property.
The parentheses do not affect the product, the product is the same regardless of where the parentheses are.
The distributive property of multiplication is a very useful property that lets you rewrite expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of products, in this case, 6(5) – 6(2).
6(5 – 2) = 6(3) = 18
65) – 6(2) = 30 – 12 = 18
The distributive property of multiplication can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.3(10 + 2) = ?
According to this property, you can add the numbers 10 and 2 first and then multiply by 3, as shown here: 3(10 + 2) = 3(12) = 36. Alternatively, you can first multiply each addend by the 3 (this is called distributing the 3), and then you can add the products. This process is shown here.
3 (10 + 2) = 3(12) = 36
3(10) + 3(2) = 30 + 6 = 36
The products are the same.
since multiplication is commutative, you can use the distributive property regardless of the order of the factors.
Ответ: