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How do we use distributive property when solving equations?
The distributive property allows us to simplify expressions by multiplying a single term by each term inside a set of parentheses. When solving equations, we can use this property to eliminate parentheses, making it easier to combine like terms and isolate the variable. For example, in the equation (3(x + 4) = 21), applying the distributive property gives (3x + 12 = 21), which can then be solved more easily. This method helps maintain clarity and accuracy in the solving process.
What is distributive propriety?
Distributive property is a fundamental principle in mathematics that states that for any numbers ( a ), ( b ), and ( c ), the expression ( a(b + c) ) is equal to ( ab + ac ). This property allows for the distribution of multiplication over addition or subtraction, simplifying calculations and solving equations. It is crucial in algebra for expanding expressions and factoring.
What is a distributive property equation?
The distributive property is a fundamental algebraic principle that states ( a(b + c) = ab + ac ). This means that when you multiply a number by a sum, you can distribute the multiplication to each term inside the parentheses. For example, using the distributive property, ( 3(4 + 5) ) can be simplified to ( 3 \times 4 + 3 \times 5 = 12 + 15 = 27 ). It helps in simplifying expressions and solving equations efficiently.
How is distributive property used when solving an equation?
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
What does a distuributive property look like?
The distributive property in mathematics states that a(b + c) = ab + ac. This means that when you multiply a number by a sum, you can distribute the multiplication across each addend. For example, if you have 3(4 + 5), using the distributive property, you would calculate it as 34 + 35, which equals 12 + 15, resulting in 27. This property is helpful for simplifying expressions and solving equations.
When solving equations how do you justify your steps?
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
How do we use distributive property when solving equations?
The distributive property allows us to simplify expressions by multiplying a single term by each term inside a set of parentheses. When solving equations, we can use this property to eliminate parentheses, making it easier to combine like terms and isolate the variable. For example, in the equation (3(x + 4) = 21), applying the distributive property gives (3x + 12 = 21), which can then be solved more easily. This method helps maintain clarity and accuracy in the solving process.
What is distributive propriety?
Distributive property is a fundamental principle in mathematics that states that for any numbers ( a ), ( b ), and ( c ), the expression ( a(b + c) ) is equal to ( ab + ac ). This property allows for the distribution of multiplication over addition or subtraction, simplifying calculations and solving equations. It is crucial in algebra for expanding expressions and factoring.
How is distributive property used when solving an equation?
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
What does a distuributive property look like?
The distributive property in mathematics states that a(b + c) = ab + ac. This means that when you multiply a number by a sum, you can distribute the multiplication across each addend. For example, if you have 3(4 + 5), using the distributive property, you would calculate it as 34 + 35, which equals 12 + 15, resulting in 27. This property is helpful for simplifying expressions and solving equations.
What jobs use distributive property?
everything
When do you use the distributive property when solving equations?
when a problem looks like this: for example: 6(5+3x) 6 x 5 = 30 and 6 x 3x = 18x so it would be 30 + 18x
When do we use distributive property?
The distributive property is used when you want to simplify expressions involving multiplication over addition or subtraction. It states that ( a(b + c) = ab + ac ) or ( a(b - c) = ab - ac ). This property is particularly useful for expanding algebraic expressions, solving equations, and calculating values in mental math. It helps break down complex problems into simpler parts for easier computation.
Why do you use the addition property of equality?
Why? - Mainly to help in solving equations.
What is the Associtavie property and distributive property in math?
The associative property in math states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, in addition, (a + b) + c = a + (b + c), and in multiplication, (a × b) × c = a × (b × c). The distributive property, on the other hand, involves distributing a multiplication operation over addition or subtraction, expressed as a × (b + c) = a × b + a × c. This property allows for the simplification of expressions and solving equations.
What is distibitive property?
The distributive property states that when multiplying a number by the sum of two other numbers, the result will be the same as if each of the two numbers were multiplied by the first number separately and then added together. In algebra, it is commonly written as a(b + c) = ab + ac. This property is essential for simplifying expressions and solving equations.
Do you simplify while using the distributive property to write an expression?
the distributive property is only used when simplifying expressions or solving an equation: to write an expression just translate the question into symbols and letters - you don't need to use the distributive property or any other property for that
