Practice Examples for Multiplying Decimals

📚 Topic Summary

Multiplying decimals is similar to multiplying whole numbers, but with an extra step: paying attention to the decimal points! First, multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in the original numbers you're multiplying. Finally, place the decimal point in your answer so that it has the same number of decimal places as the total you counted. For example, to multiply $1.25 \times 0.5$, you would first multiply $125 \times 5 = 625$. Then, since there are two decimal places in 1.25 and one decimal place in 0.5, you'd put the decimal point three places from the right in 625, resulting in 0.625.

🧮 Part A: Vocabulary

Match the term with its correct definition:

1. Term: Decimal Place
2. Term: Product
3. Term: Factor
4. Term: Decimal Point
5. Term: Whole Number

1. Definition: A number without fractions or decimals.
2. Definition: The dot that separates the whole number part from the fractional part.
3. Definition: The result of multiplication.
4. Definition: A number that is multiplied by another number.
5. Definition: The position of a digit to the right of the decimal point.

(Match the terms (1-5) to the definitions (a-e). For example, 1-e if you think 'Decimal Place' matches definition 'e'.)

✍️ Part B: Fill in the Blanks

Complete the following paragraph with the correct words:

When multiplying decimals, first ignore the _________ _________ and multiply as if they were _______ __________. Then, count the total number of _________ _________ in the original numbers. Finally, place the decimal point in the _______ so it has the same number of decimal places.

🤔 Part C: Critical Thinking

Explain, in your own words, why it's important to correctly place the decimal point when multiplying decimals. What happens if you don't?