Aptitude Topics
Decimal Basics
Decimal fractions are a system of representing fractions using a base-10 structure. Every position to the right of the decimal point represents a power of 10, specifically tenths ($1/10$), hundredths ($1/100$), thousandths ($1/1000$), and so on.
Fundamental Principles
Decimal Point
The separator that distinguishes the whole number part (left) from the fractional part (right).
Place Value
The value of a digit based on its position: $0.1$ is $1/10$, $0.01$ is $1/100$.
Essential Formulation Tips
- Adding trailing zeros to the end of a decimal (e.g., $0.5 = 0.50 = 0.500$) does not change its value.
- Always align the decimal points vertically when comparing or performing arithmetic operations.
Example Breakdown: Identifying Place Values
Problem QueryIn the number $5.724$, what is the place value of the digit 2?
Step-By-Step Solution Path
The 7 is in the tenths place.
The 2 is in the hundredths place.
Therefore, the value is $2/100$ or $0.02$.
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