Equivalent

Front

What does 'equivalent' mean in mathematics?

Back

In mathematics, 'equivalent' refers to two expressions, equations, or quantities that have the same value or represent the same thing, even if they appear different.

Tags

CCSS.4.NF.A.1

CCSS.5.NF.B.5B

Front

Give an example of equivalent fractions.

Back

1/2 and 2/4 are equivalent fractions because they represent the same part of a whole.

Tags

CCSS.4.NF.A.1

CCSS.5.NF.B.5B

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities. For example, 1:2 and 2:4 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

Front

How do you determine if two expressions are equivalent?

Back

To determine if two expressions are equivalent, simplify both expressions and see if they yield the same value.

Tags

CCSS.6.EE.A.4

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution set as another equation, meaning both equations are true for the same values of the variable.

Tags

CCSS.8.EE.C.7A

Front

Provide an example of an equivalent equation.

Back

The equations 2x + 3 = 7 and 2x = 4 are equivalent because they both have the same solution, x = 2.

Tags

CCSS.8.EE.C.7A

Front

What does it mean for two geometric figures to be equivalent?

Back

Two geometric figures are equivalent if they have the same area or volume, even if their shapes are different.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Explain equivalent expressions with an example.

Back

Equivalent expressions are expressions that simplify to the same value. For example, 3(x + 2) and 3x + 6 are equivalent expressions.

Tags

CCSS.6.EE.A.4

Front

What is the significance of equivalent units in measurement?

Back

Equivalent units in measurement allow for the conversion between different units while maintaining the same quantity, such as 1 inch = 2.54 cm.

Tags

CCSS.5.MD.A.1

Front

How can you find equivalent decimals?

Back

To find equivalent decimals, you can add or remove zeros after the decimal point. For example, 0.5 is equivalent to 0.50.

Tags

CCSS.4.NF.C.7