Table of Contents

- 1 What property is dividing both sides of an equation?
- 2 Can we divide both sides of an equation by the same number?
- 3 What is dividing both sides?
- 4 What Property is it when you subtract from both sides?
- 5 How do you divide an equation by another equation?
- 6 When is the property of equality for Division true?
- 7 Which is the correct definition of the reflexive property of equality?

## What property is dividing both sides of an equation?

The division property of 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 .

## Can we divide both sides of an equation by the same number?

Stated simply, when you divide or multiply both sides of an equation by the same quantity, you still have equality.

**What is it called when both sides of an equation are equal?**

Sometimes people refer to this as keeping the equation “balanced”. If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced. Let’s look at a simple numeric equation, 3 + 7 =10, to explore the idea of an equation as being balanced.

**Which property says that you can multiply both sides of an equation by the same number?**

Multiplication Property of Equality

Multiplication Property of Equality Stated simply, when you divide or multiply both sides of an equation by the same quantity, you still have equality.

### What is dividing both sides?

Basically you just multiply the left part (everything before the equals sign) by something, and then do the same to the right side, and put the results together again with an equals sign. For example, multiply x = 15 by 3.

### What Property is it when you subtract from both sides?

Subtraction Property of Equality

In the previous examples, we used the Subtraction Property of Equality, which states that when we subtract the same quantity from both sides of an equation, we still have equality.

**Why we do the same thing to both sides variable on both sides?**

because There is some way of dealing with variables on both sides called “transferring the terms”, used most widely in China. The term actually goes to the other side of equation because on the original side the two terms cancel out or multiply to 1. So it’s the same thing.

**What is a multiplication property?**

The Multiplication Property for Equations states that an equation can be multiplied or divided by the same number on each side of the equation without changing the solution to the equation.

## How do you divide an equation by another equation?

Algebraic Division

- Arrange the indices of the polynomial in descending order.
- Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor.
- Multiply the divisor by the first term of the quotient.
- Subtract the product from the dividend then bring down the next term.

## When is the property of equality for Division true?

If you add the same number to both sides of an equation, the equation is still true. property of equality for division says that if a=b, then a/c=b/c. If you divide the same number to both sides of an equation, the equation is still true. Nice work!

**What is the property of equality for addition?**

property of equality for addition says that if a=b then a+c=b+c. If you add the same number to both sides of an equation, the equation is still true. property of equality for division says that if a=b, then a/c=b/c. If you divide the same number to both sides of an equation, the equation is still true.

**Is the equals sign in an equation true?**

If you subtract the same number from both sides of an equation the equation is still true. property to equality. The equals sign in an equation is like a scale: both sides, left and right, must be the same in order for the scale to stay in balance and the equation to be true.

### Which is the correct definition of the reflexive property of equality?

If you divide the same number to both sides of an equation, the equation is still true. Reflexive property of equality. reflexive property of equality says that if a=a: anything is congruent to itself. The equal signs like a mirror, and the image it “reflects” is the same as the original.