Math Problem Statement
show full steps and calculation of 4.4
Solution
To understand what you're asking for with "4.4," I will assume you're asking for an explanation or breakdown of the decimal value 4.4 in various forms (like as a fraction, its properties, etc.). I'll show different ways to represent and work with this number.
Step-by-step breakdown of 4.4:
1. Converting 4.4 to a fraction:
The number 4.4 is a decimal number. To convert it to a fraction:
- 4.4 can be written as .
- To simplify, divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
Thus, 4.4 as a fraction is .
2. Converting 4.4 to a mixed number:
Since is an improper fraction (numerator is larger than the denominator), you can convert it to a mixed number:
- Divide 22 by 5, which gives a quotient of 4 and a remainder of 2.
So, .
Thus, 4.4 can be expressed as the mixed number .
3. Rounding 4.4 to different places:
- Nearest whole number: Round 4.4 to 4 (since 0.4 is less than 0.5).
- Nearest tenth: Since it's already at one decimal place, rounding to the nearest tenth keeps it as 4.4.
4. Percentage form of 4.4:
To convert 4.4 into a percentage, multiply by 100:
So, 4.4 is 440% when expressed as a percentage.
5. Scientific notation of 4.4:
The number 4.4 can be written in scientific notation as:
This is because the decimal point doesn't need to be moved to express it in standard form.
Summary:
- Fraction form:
- Mixed number:
- Rounded: 4 (nearest whole number), 4.4 (nearest tenth)
- Percentage: 440%
- Scientific notation:
Do you want more details or have any questions?
Here are 5 relative questions for deeper understanding:
- How would you convert 4.4 to a ratio?
- What is the decimal representation of ?
- How would you express 4.4 as a recurring decimal?
- What is the square of 4.4?
- How would you subtract 4.4 from a whole number?
Tip: When converting a decimal to a fraction, always check if the fraction can be simplified by finding the GCD of the numerator and denominator.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Decimals
Fractions
Mixed Numbers
Percentages
Scientific Notation
Formulas
Conversion of decimal to fraction: decimal = numerator/denominator
Simplifying fractions by dividing by the greatest common divisor (GCD)
Percentage conversion: number × 100
Scientific notation: number × 10^exponent
Theorems
-
Suitable Grade Level
Grades 5-7