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Translate and solve. What number is 36% of 124?

Short Answer

Expert verified
44.64

Step by step solution

01

Understand the Problem

Identify what is being asked. You need to find what number represents 36% of 124.
02

Convert the Percentage to a Decimal

Move the decimal point two places to the left to convert 36% into a decimal: 36% = 0.36
03

Set Up the Equation

Write the equation to represent the problem: 0.36 * 124 = ?
04

Solve the Equation

Multiply the decimal by the number to find the answer: 0.36 * 124 = 44.64
05

Write the Answer

Interpret the result to complete the problem: The number is 44.64.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

decimal conversion
When solving percentage problems, converting percentages into decimals is a crucial step. This simplifies calculations and makes the next steps easier. To convert a percentage into a decimal, just move the decimal point two places to the left. For example, changing 36% into a decimal would look like this:

* Start with 36%
* Move the decimal point two spots left: 36% becomes 0.36

This small, easy action converts the percentage into a more usable decimal form for multiplication.
multiplication
Once we convert the percentage to a decimal, the next step is multiplication. This translates the word problem into a straightforward math equation. Here’s how:

You have 0.36 (the decimal form of our percentage) and need to multiply it by 124.

  • Write your equation: 0.36 * 124 = ?
  • Multiply the numbers together. You can do this manually or use a calculator for quick results.

  • Doing this multiplication gives you the product, which is the answer: \(0.36 \times 124 = 44.64\).

    • Always double-check your work to ensure accuracy.
problem-solving steps
Breaking down math problems into clear, manageable steps often makes solving them much easier. Here is a simple approach you can follow to handle percentage problems:

1. **Understand the Problem:** Start by identifying what the problem is asking. For instance, what number is 36% of 124?
2. **Convert the Percentage:** Transform the percentage into a decimal by moving the decimal point two places to the left. (36% becomes 0.36)
3. **Set Up an Equation:** Write the mathematical equation that represents the problem. Here, it's 0.36 multiplied by 124.
4. **Perform the Multiplication:** Multiply the decimal by the given number. (0.36 * 124)
5. **Interpret the Answer:** Finally, understand and write down the result. In this case, the answer is 44.64.

Following these steps systematically can help you solve percentage-related problems with confidence.

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