Problem 57 - College Algebra and Calculus: An Applied Approach

Question

Use a calculator to solve.\(125 \%\) of 37

Step-by-Step Solution

Answer

46.25

Step 1: Convert Percentage to Decimal

To convert 125% to a decimal, divide 125 by 100. This gives us 1.25.

Step 2: Find the Amount

Multiply 37 by the decimal gotten in step one (1.25). This gives us 46.25. This means that 125% of 37 is 46.25.

Key Concepts

Converting Percentages to Decimals

To tackle problems involving percentages, it is essential to first convert percentages to decimals. This conversion simplifies calculations and is a fundamental skill for various math problems. You can convert any percentage into a decimal by dividing the percentage by 100.
For example, if we have a percentage like 125%, it should be transformed into a decimal by performing the operation: \[ 125 \div 100 = 1.25 \] The key part of this procedure is moving the decimal point two places to the left. This step helps you handle percentages as decimals in further calculations. Mastering this conversion can greatly clarify how percentages function in arithmetic.

• Always remember to divide the percentage by 100.
• Move the decimal point two places to the left for accurate conversion.

Using Calculators for Math Problems

Calculators are valuable tools when solving complex mathematical problems. They can save time and reduce human error, especially during repetitive or extensive calculations. When using a calculator to solve math problems, such as finding 125% of 37, it's helpful to follow these straightforward steps:

• Input the decimal form of the percentage (1.25 in this instance).
• Multiply this number by the target value (37).
• Review your entries to ensure accuracy before finalizing the calculation.

Accurate entry is crucial. Double-check your inputs before hitting the equal sign to avoid any miscalculations. This will help ensure that your answer is correct and that you efficiently utilize your calculator's potential.

Basic Arithmetic Operations

Understanding basic arithmetic operations like multiplication is vital for processing percentage problems. Multiplication helps you find percentages of a number by scaling the given number according to the percentage value.
Once you convert a percentage to a decimal, the operation you need to perform usually involves multiplication. For instance, finding 125% of 37 requires multiplying 37 by 1.25: \[ 37 \times 1.25 = 46.25 \] This result signifies that 125% of 37 is 46.25. Recognizing when and how to use basic operations assists in solving a wide variety of mathematical problems beyond just percentages. When you're confident with operations like multiplication, you're equipped to apply them to solve real-world scenarios effectively.

• Use multiplication to scale numbers per percentage needs.
• Practicing these operations enhances problem-solving skills.