How to Determine the Missing Number when Multiplying Decimals by Powers of 10
Multiplying decimals by powers of 10 is a fundamental concept in mathematics. The beauty of powers of 10 is their ability to shift the decimal point, making multiplication straightforward. Let's explore how to determine the missing number when given a multiplication sentence involving decimals and powers of 10.
Key Insight:
When multiplying by \(10\), the decimal point moves one place to the right. For \(10^2\) (or 100), it moves two places to the right, and so on.
Multiplying by a Power of 10 with Decimals: Determine the Missing Number
Example 1:
Complete the multiplication sentence: \(0.25 \times 10 = \_\).
Solution Process:
Move the decimal point in \(0.25\) one place to the right because we are multiplying by \(10\).
Answer:
\(0.25 \times 10 = 2.5\).
The Absolute Best Book for 5th Grade Students
Example 2:
Complete the multiplication sentence: \(3.45 \times 100 = \_\).
Solution Process:
Move the decimal point in \(3.45\) two places to the right because we are multiplying by \(10^2\) (or 100).
Answer:
\(3.45 \times 100 = 345\).
Multiplying decimals by powers of 10 is a powerful tool that simplifies complex calculations. By understanding the relationship between decimals and powers of 10, you can quickly determine missing numbers in multiplication sentences. This skill not only enhances your mathematical prowess but also boosts your confidence in handling decimals. So, the next time you encounter a decimal multiplication problem involving powers of 10, remember the key insight and tackle it with ease!
Practice Questions:
1. Determine the missing number: \(0.56 \times 10 = \_\).
2. Complete the multiplication sentence: \(4.78 \times 1000 = \_\).
3. Determine the missing number: \(0.009 \times 100 = \_\).
4. Complete the multiplication sentence: \(5.67 \times 10^3 = \_\).
5. Determine the missing number: \(0.123 \times 10^2 = \_\).
A Perfect Book for Grade 5 Math Word Problems!
Answers:
1. \(5.6\)
2. \(4780\)
3. \(0.9\)
4. \(5670\)
5. \(12.3\)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- 7th Grade North Carolina End-of-Grade Math Worksheets: FREE & Printable
- Top 10 Tips to Overcome TSI Math Anxiety
- What Kind of Math Is on the CHSPE Test?
- What Kind of Math Is on the ATI TEAS 7 Test?
- Using Input/Output Tables to Round Numbers
- Let’s Do the Math on Tesla’s Electric Cars
- How to Find The Derivative of A Function
- Top 10 Tips to ACE the ACT Mathematics
- How tо Buу thе Right Lарtор: A Stер-bу-Stер Guide
- HiSET Testing Accommodations for Students with Disabilities
What people say about "How to Determine the Missing Number when Multiplying Decimals by Powers of 10 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.