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Which three go together? Why do they go together?
Decide whether each equation is true or false. Explain or show how you know.
Take turns with your partner to find two equivalent expressions in each list.
When adding or multiplying numbers, the order of the numbers doesn’t affect the result of addition or multiplication. When working with exponents, each number means something specific, so its placement does matter.
equals .
always equals .
equals .
always equals .
does not equal .
does not always equal .
means , while means .
It is also important to remember that we use multiplication as a quicker way to express repeated addition and we use exponent as a quicker way to express repeated multiplication.
When working with exponents, the numbers being multiplied don’t have to always be whole numbers. They can also be other kinds of numbers, like fractions, decimals, and even variables. For example, we can use exponents in each of the following ways: