Adding Decimals Worksheet

Adding Decimals

1a. Write 0.524 and 0.243 in expanded form.

1b. Remember that you can add fractions in any order you like. Use this fact to add the

expanded numbers from part a. Do not reduce the fractions (you’ll see why).

1c. Convert the expanded number from part b back to a decimal.

1d. What does this whole process have to do with 0 524 + 0 243?

The standard algorithm for adding decimals is to line up the decimal point and add like

places together (add the ones places together, the tenths places together, etc.).

1e. Calculate 0 524 + 0 243 using the standard algorithm.

1f. Explain why the method of adding we did in parts a - c justiﬁes the standard

algorithm.

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