(iii) Distributive property – For real numbers a, b and c, we have a×(b+c)=a×b+a×c and a+(b×c)=(a+b)×(a+c). 8×12=8×(10+2)=8×10+8×2=80+16=96. Thus, the answer is 96.
How do you use the distributive property examples?
The distributive property of multiplication over addition 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 and then multiply by 3.
Can you use the distributive property to write the formula?
The distributive property allows you to multiply the term outside the parentheses by the terms inside. You need to make sure that you do it properly so you don’t lose any information and solve the equation correctly. You can also use the distributive property to simplify equations involving fractions.
What is distributive property of 3×6?
3×6 = 12 + 6. 18 = 18. (Both sides have a result of 18.) The distributive property of multiplication over subtraction. 3(4 – 2) = 3×4 – 3×2.
How do you solve a distributive property problem?
Distributive property with exponents
What are the rules for distributive property?
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
What is the formula of commutative property?
The commutative property formula for multiplication is defined as the product of two or more numbers that remain the same, irrespective of the order of the operands. For multiplication, the commutative property formula is expressed as (A × B) = (B × A).
Which equation uses the distributive property?
The Distributive Property of Multiplication For all real numbers a, b, and c, a(b+c)=ab+ac a ( b + c ) = a b + a c .
What is the golden rule for solving equations?
Do unto one side of the equation, what you do to the other! An equation is like a balance scale. If we put something on, or take something off of one side, the scale (or equation) is unbalanced. When solving math equations, we must always keep the ‘scale’ (or equation) balanced so that both sides are ALWAYS equal.
What are 2 step equations?
A two-step equation is an algebraic equation that takes you two steps to solve. You’ve solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
How do you solve for no solution?
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
How do you solve for variables?
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
How do we solve an equation for a particular variable?
Solve the formula A=P+Prt for r. Sometimes we might be given an equation that is solved for y and need to solve it for x, or vice versa. In the following example, we’re given an equation with both x and y on the same side and we’ll solve it for y. Solve the formula 8x+7y=15 for y.
How do you solve for two variables?
Divide both sides of the equation to “solve for x.” Once you have the x term (or whichever variable you are using) on one side of the equation, divide both sides of the equation to get the variable alone. For example: 4x = 8 – 2y. (4x)/4 = (8/4) – (2y/4)
