Decimals Unfolded: How to Switch Between Standard and Expanded Forms
Decimals can be represented in multiple ways, and two of the most common forms are the standard form and the expanded form. The standard form is how we typically write decimals, while the expanded form breaks down each digit's value based on its place. Let's delve into the art of converting between these two forms!
Converting Decimals Between Standard and Expanded Form
Example 1:
Standard Form: \(3.42\)
Expanded Form: To convert this into expanded form:
– The digit \(3\) is in the ones place: \(3 \times 1\)
– The digit \(4\) is in the tenths place: \(4 \times 0.1\)
– The digit \(2\) is in the hundredths place: \(2 \times 0.01\)
Combine these values: \(3 + 0.4 + 0.02\)
Detailed Answer:
The expanded form of \(3.42\) is \(3 + 0.4 + 0.02\).
The Absolute Best Book for 5th Grade Students
Example 2:
Standard Form: \(5.067\)
Expanded Form:
– The digit \(5\) is in the ones place: \(5 \times 1\)
– The digit \(0\) is in the tenths place: \(0 \times 0.1\)
– The digit \(6\) is in the hundredths place: \(6 \times 0.01\)
– The digit \(7\) is in the thousandths place: \(7 \times 0.001\)
Combine these values: \(5 + 0 + 0.06 + 0.007\)
Detailed Answer:
The expanded form of \(5.067\) is \(5 + 0.06 + 0.007\).
Switching between the standard and expanded forms of decimals provides a clearer understanding of the value of each digit. This skill is not only academically important but also practical when dealing with money, measurements, and more. Keep practicing to master this conversion!
Practice Questions:
1. Convert the decimal \(2.35\) into its expanded form.
2. Convert the decimal \(0.914\) into its expanded form.
3. Convert the expanded form \(4 + 0.5 + 0.08\) into its standard form.
4. Convert the expanded form \(7 + 0.004\) into its standard form.
5. Convert the decimal \(6.001\) into its expanded form.
A Perfect Book for Grade 5 Math Word Problems!
Answers:
1. \(2 + 0.3 + 0.05\)
2. \(0.9 + 0.01 + 0.004\)
3. \(4.58\)
4. \(7.004\)
5. \(6 + 0.001\)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- 8th Grade Common Core Math Worksheets: FREE & Printable
- Addition of Hundreds
- Top 10 Tips to ACE the Praxis Core Math Test
- 3rd Grade IAR Math Worksheets: FREE & Printable
- How to Understand Co-Function, Even-Odd, and Periodicity Identities in Trigonometry
- How to Understand the Nuance of Equality of Vectors in Two Dimensions
- The Ultimate 6th Grade OAA Math Course (+FREE Worksheets)
- FREE 8th Grade PARCC Math Practice Test
- Algebra Puzzle – Challenge 44
- How to Find Unit Rates and Rates?
What people say about "Decimals Unfolded: How to Switch Between Standard and Expanded Forms - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.