Understanding the Decimal 0.62

In this guide, we will break down the decimal number 0.62, explaining its meaning, how to convert it to other forms, and where it is commonly used.

Step 1: What is 0.62?

The number 0.62 is a decimal number. Decimals are numbers that consist of a whole number and a fractional part, separated by a decimal point. In this case, the 0 represents zero whole units, and the 62 after the decimal point represents the fraction of a whole.

Step 2: Understanding the Value

The digit 6 is in the tenths place, which means it is equivalent to 6/10. The digit 2 is in the hundredths place, meaning it is equivalent to 2/100. Therefore, we can express 0.62 as:

• 0.62 = 6/10 + 2/100

Upon simplifying, we can combine these fractions, but it is often simpler to work with the decimal directly.

Step 3: Converting 0.62 to a Fraction

To convert 0.62 to a fraction:

1. Write it as 62/100 (since there are two digits after the decimal point).
2. Simplify 62/100 by finding the greatest common divisor (GCD). The GCD of 62 and 100 is 2.
3. Divide both the numerator and the denominator by their GCD: 62 ÷ 2 = 31 and 100 ÷ 2 = 50.
4. Thus, 0.62 = 31/50.

Step 4: Converting 0.62 to a Percentage

To convert 0.62 into a percentage:

1. Multiply the decimal by 100.
2. 0.62 × 100 = 62.
3. Add the percentage symbol (%): 0.62 = 62%.

Step 5: Applications of 0.62

The number 0.62 can be used in various contexts, such as:

• Shopping: If an item costs $0.62, you can think of it as less than a dollar.
• Statistics: In surveys or data analysis, percentages often are represented as decimals.
• Finance: Interest rates might be expressed in decimal form.

Conclusion

Understanding the decimal 0.62 involves knowing its value, being able to convert it to a fraction and percentage, and recognizing where you might encounter such decimal numbers in everyday life. Hopefully, this step-by-step explanation has clarified what 0.62 is and how to work with it!