what is 80 of 70

Natashya

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24-12-2024

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What is 80% of 70? A Simple Guide to Percentage Calculations

Finding a percentage of a number is a common task in many areas of life, from calculating discounts to determining grades. This article will clearly explain how to calculate 80% of 70, and provide the tools to tackle similar problems yourself. Understanding this simple calculation is a valuable skill!

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction out of 100. For example, 80% means 80 out of 100, which can be written as the fraction 80/100 or the decimal 0.8.

Calculating 80% of 70: Two Methods

There are two primary ways to calculate 80% of 70:

Method 1: Using Decimal Conversion

1. Convert the percentage to a decimal: Divide the percentage by 100. 80% / 100 = 0.8

2. Multiply the decimal by the number: Multiply the decimal (0.8) by the number you want to find the percentage of (70). 0.8 * 70 = 56

Therefore, 80% of 70 is $\boxed{56}$.

Method 2: Using Fractions

1. Convert the percentage to a fraction: Write the percentage as a fraction over 100. 80% = 80/100

2. Simplify the fraction (optional): We can simplify 80/100 by dividing both the numerator and denominator by their greatest common divisor, which is 20. This simplifies to 4/5.

3. Multiply the fraction by the number: Multiply the simplified fraction (4/5) by the number (70). (4/5) * 70 = (4 * 70) / 5 = 280 / 5 = 56

Again, we find that 80% of 70 is $\boxed{56}$.

Why Learn Percentage Calculations?

The ability to quickly calculate percentages is useful in various situations, including:

• Shopping: Determining the final price after a discount.
• Finance: Calculating interest earned or paid.
• Academics: Understanding grades and test scores.
• Everyday life: Estimating tips, splitting bills, and more.

Practice Problems

Try calculating these percentages yourself to practice:

• What is 25% of 60?
• What is 15% of 80?
• What is 5% of 200?

Mastering percentage calculations empowers you to confidently handle numerous everyday situations. Remember the two methods outlined above – decimal conversion and fraction conversion – and choose the one you find easier to use. Practice makes perfect!