Question

Use a calculator to solve.\(35 \%\) of 820

Short answer

The answer is \(0.35 \times 820 = 287\)

Step-by-step solution

Convert the Percentage to a Decimal

To convert 35% to a decimal, divide 35 by 100, which results in 0.35.

Multiply the Decimal by the Total Quantity

Next, multiply the decimal obtained in step 1 (0.35) by the total quantity (820). This operation can be performed using a calculator and it will give the required portion of the total number.

Key concepts

Decimal Conversion

When working with percentages, converting them into decimals is a crucial step.
It makes further calculations much easier. Here's how you do it: to convert any percentage to a decimal, simply divide the number by 100.For example, if you have 35%, you would calculate:\[35 \div 100 = 0.35\]This conversion step is important because decimals are far more straightforward to use in arithmetic operations like multiplication and division.
By using decimals, the risk of errors is reduced, and calculations become more streamlined. Once you've converted a percentage into a decimal, you're set to easily compute the fraction it represents in any given context.

Calculator Usage

Calculators are handy tools when dealing with numerical problems, especially when accuracy and efficiency are required.
For percentage calculations, using a calculator can save you a lot of time and ensure precision. Here's a simple guide on using your calculator for such problems:

• First, ensure your calculator is switched on and functioning correctly.
• Enter the decimal value you've obtained from the percentage conversion.
• Proceed to press the multiplication (×) button.
• Enter the total number you are working with, in this case, 820.
• Finally, press the equals (=) button to get the result.

Calculators provide a straightforward means to handle arithmetic efficiently, so that you're never overwhelmed by large numbers.
It's essential to become familiar with the keys and basic operations on your calculator, as this will benefit you in many math-related tasks.

Mathematical Operations

In mathematical problems involving percentages, performing operations like multiplication is fundamental.
After converting a percentage to a decimal, the subsequent step is typically to multiply it by another number — usually the total quantity being considered.For instance, once you have converted 35% to 0.35, the next move is to multiply this decimal by 820. Mathematically, this operation looks like:\[0.35 \times 820 = 287\]This result signifies that 35% of 820 is 287.
Understanding this multiplication process helps clarify how percentages influence or represent parts of a whole. Mastering these mathematical operations allows you to solve percentage problems with confidence and precision, no matter how complex they may initially seem. This skill is invaluable across countless real-world scenarios, from calculating discounts to analyzing data trends.