Multiplying Decimal Units
Multiplying decimal units is a Grade 5 math skill in enVision Mathematics, Chapter 4: Use Models and Strategies to Multiply Decimals. Students learn that tenths × tenths = hundredths and tenths × hundredths = thousandths, so 0.1 × 0.1 = 0.01 and 0.1 × 0.01 = 0.001. Understanding decimal unit relationships is essential for correctly placing the decimal point in products.
Key Concepts
Multiplying tenths by tenths results in hundredths, and multiplying tenths by hundredths results in thousandths. $$0.1 \times 0.1 = 0.01$$ $$0.1 \times 0.01 = 0.001$$.
Common Questions
What do you get when you multiply tenths by tenths?
Tenths multiplied by tenths gives hundredths. For example, 0.1 × 0.1 = 0.01.
What is tenths times hundredths?
Tenths multiplied by hundredths gives thousandths. For example, 0.1 × 0.01 = 0.001.
Why does multiplying decimals give a smaller number?
When multiplying numbers less than 1, the result is a smaller fraction. The decimal places add together, so tenths × tenths = hundredths.
Where is multiplying decimal units taught in enVision Grade 5?
This skill is in Chapter 4: Use Models and Strategies to Multiply Decimals in enVision Mathematics, Grade 5.
How does knowing decimal units help with decimal multiplication?
Knowing that tenths × tenths = hundredths allows you to predict the number of decimal places in the product without counting digit by digit, making it easier to place the decimal point correctly.