Decomposing Decimals into Expanded Form
Decomposing decimals into expanded form is a Grade 5 math skill in enVision Mathematics, Chapter 4: Use Models and Strategies to Multiply Decimals. Students write each decimal as a sum of its place value parts: for example, 3.45 = 3 + 0.4 + 0.05. This decomposition is a prerequisite for applying partial products and other multiplication strategies to decimal numbers.
Key Concepts
To write a decimal in expanded form, you express it as the sum of the values of each digit. This process is called decomposition.
$$3.45 = 3 + 0.4 + 0.05$$.
Common Questions
How do you decompose a decimal into expanded form?
Write each digit multiplied by its place value and add the parts. For example, 3.45 = 3 + 0.4 + 0.05.
What is 2.307 in expanded form?
2.307 = 2 + 0.3 + 0.00 + 0.007 = 2 + 0.3 + 0.007.
Why decompose decimals into expanded form?
Expanded form makes each place value explicit, which is helpful for applying multiplication strategies like partial products to decimal numbers.
Where is decomposing decimals taught in enVision Grade 5?
Chapter 4: Use Models and Strategies to Multiply Decimals in enVision Mathematics, Grade 5.
How is expanded form for decimals the same as for whole numbers?
The same rule applies: each digit is multiplied by its place value. For decimals, place values extend to tenths, hundredths, thousandths, etc.