How do you justify algebraically?
justify why each step in the process of solving a linear equation is legal!…
| Steps: | Justification (Reasons): |
|---|---|
| x(3 + 5) – 6 = 9x – 24 | Distributive Property in reverse |
| x(8) – 6 = 9x – 24 | Addition |
| 8x – 6 = 9x – 24 | Commutative Property of Addition |
| 8x – 8x – 6 = 9x – 8x – 24 | Subtraction Property of Equality |
What does justify your answer mean?
The definition of justify is to provide an explanation or rationale for something to make it seem OK or to prove it is correct or OK. An example of justify is when you provide data to back up a recommendation you make. An example of justify is when you make an excuse to make bad behavior seem oK. verb.
What does it mean to justify the steps of a solution?
To me, “justify” means to lay out the mathematical thought process step by step, so that the line from the starting point to the ending point is connected. It is a bit less formal than a proof, which has certain logical requirements, but it means, “show enough work so that I know that you get the whole thing.”
What properties are used to solve equations?
The properties used to solve an equation are the properties of the relationship of equality, reflexivity, symmetry and transitivity and the properties of operations. These properties are as true in arithmetic and algebra as they are in propositional language.
What are the 6 properties of equality?
- The Reflexive Property. a =a.
- The Symmetric Property. If a=b, then b=a.
- The Transitive Property. If a=b and b=c, then a=c.
- The Substitution Property. If a=b, then a can be substituted for b in any equation.
- The Addition and Subtraction Properties.
- The Multiplication Properties.
- The Division Properties.
- The Square Roots Property*
Which property can be used to solve the equation 5d 75?
3. Given: 5d=75, and by doing inverse operations, you flip it around to: 75 ÷ 5 = d. this is the division property of equality because we’re doing the opposite of multiplication to solve for d, and we’re undoing the multiplication.
What is division property equality?
The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is, if a, b, and c are real numbers such that a = b and c ≠0, then a c = a c .
What is an example of the reflexive property?
An example of a reflexive relation is the relation “is equal to” on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property or is said to possess reflexivity.
What is identity property of division?
Fun Facts. Any number divided by 1, gives the same quotient as the number itself. This is called the identity property of division.
What are the properties of division?
Properties of Division
- Division by 1 Property: If we divide a number by 1 the quotient is the number itself.
- Division by itself Property: If we divide a number by the number itself, the quotient is 1.
- Division any Number by 0 Property:
- Division of 0 by any Number Property:
- Division by 10, 100 and 1000 Property:
What are the 3 parts of division?
Each part of a division equation has a name. The three main names are the dividend, the divisor, and the quotient. There are three special cases to consider when dividing. 1) Dividing by 1: When dividing something by 1, the answer is the original number.
What is the concept of division?
The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.
What is the rule for division?
When students see a number that ends in an even digit, they should know the number can be divided into two evenly. However, numbers that end in odd digits can be divided by two, they’ll just have a remainder or decimal.
What is the division rule for 6?
Divisibility Rule of 6 Numbers which are divisible by both 2 and 3 are divisible by 6. That is, if the last digit of the given number is even and the sum of its digits is a multiple of 3, then the given number is also a multiple of 6. Example: 630, the number is divisible by 2 as the last digit is 0.
What is the formula to check the division?
Answer. Answer: dividend =divisor*quotient+remainder.
How do you write division?
On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. The quotient (answer) will eventually go on top, right above the dividend.
How do you write a division sentence?
How to Write a Division Sentence
- Write down the total number being shared or divided first.
- Next write the division sign, ÷.
- After the division sign, write down the number of groups the amount is being shared into.
- Next write the equals sign, =.
- Finally, write the number in each group after the objects have been shared.
How do you write division problems?
The answer to a division problem is called a quotient. To show division with a division bar, we write the dividend on top. To show division with a division box, we write the dividend inside the box.
Is a division symbol?
The division sign (÷) is a symbol consisting of a short horizontal line with a dot above and another dot below, used to indicate mathematical division.