Equality

Front

What is equality in mathematics?

Back

Equality means that two expressions represent the same value. For example, in the equation 2 + 3 = 5, both sides are equal.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution or represent the same relationship. For example, 3 + 4 = 1 + 6 is equivalent because both sides equal 7.

Front

What is the purpose of using a balance in equations?

Back

A balance shows that both sides of an equation must be equal. If you add or subtract the same number from both sides, the equation remains true.

Front

What is an equation?

Back

An equation is a mathematical statement that shows that two expressions are equal, usually containing an equals sign (=).

Front

What does it mean when we say 'not equal'?

Back

'Not equal' means that two values or expressions do not represent the same amount. For example, 3 + 8 ≠ 12 - 3 means 11 is not equal to 9.

Front

How can you check if an equation is true?

Back

You can check if an equation is true by substituting the values into the equation and seeing if both sides are equal.

Front

What is the result of 8 - 2?

Back

8 - 2 = 6.

Front

What is the result of 6 x 5?

Back

6 x 5 = 30.

Front

What is the relationship between addition and subtraction?

Back

Addition and subtraction are inverse operations. If you add a number and then subtract the same number, you return to the original value.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are also inverse operations. If you multiply a number and then divide by the same number, you return to the original value.