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Chapter 1: Problem 647

Convert each decimal to a percent. $$ 2.254 $$

Short Answer

Expert verified
225.4%

Step by step solution

01

- Understand the relationship between decimals and percents

To convert a decimal to a percent, multiply the decimal number by 100. This is because 'percent' means 'per hundred'.
02

- Perform the multiplication

Multiply the decimal number 2.254 by 100. Formula: \[ 2.254 \times 100 \ = 225.4 \ = 225.4\text{%} \]
03

- Write the final result

After the multiplication in step 2, the result is 225.4%. Therefore, 2.254 as a percent is 225.4%.

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Key Concepts

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

Percent
Percent is a way to express a number as a fraction of 100. The term 'percent' literally means 'per hundred'. When you see a percentage, it shows you a portion out of 100. For example, 50% means 50 out of 100.
Percentages are useful in many areas of daily life, such as calculating discounts, interpreting statistics, and understanding interest rates.
Remember, converting between percents, decimals, and fractions might seem tough at first, but with practice, it becomes easy.
Multiplication
Multiplication is one of the basic arithmetic operations. It involves calculating the total of one number added together a certain number of times. In the context of converting decimals to percents, multiplication is used to scale the numbers appropriately.
To convert a decimal to a percent, you multiply the decimal number by 100. This operation shifts the decimal point two places to the right, effectively changing the value to 'per hundred'.
For instance, multiplying 2.254 by 100 gives you 225.4, which you can write as 225.4%.
Decimal Numbers
Decimals are a way to represent fractions using the base-10 number system. They are another way to show parts of a whole, just like fractions. A decimal number can have any number of digits after the decimal point.
For example, in the number 2.254, '2' is the whole number part, while '.254' represents the fractional part. The first digit after the decimal point is the tenths place, the second is the hundredths place, and so on.
Converting decimals to percents helps in making them easier to understand and compare.
Conversion
Conversion, in math, means changing a number from one form to another. When converting decimals to percents, you use multiplication.
Let's walk through the conversion process with an example: Convert 2.254 to a percent. Here's how you do it:
  • Recognize that 'percent' means per hundred
  • Multiply 2.254 by 100
  • Get the result: 225.4
  • Write it as 225.4%

This method can be used for any decimal number to convert it into a percent.

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Most popular questions from this chapter

Simplify using the distributive property. $$ 9(5 u+8)+2(u-6) $$

Adele's shampoo sells for $$\$ 3.99\( per bottle at the grocery store. At the warehouse store, the same shampoo is sold as a 3 pack for \)\$ 10.49 .\( To find the cost of 3 bottles at \)\$ 3.99,\( notice that 3.99 is \)4-0.01\( (a) Multiply 3(3.99) by using the distributive property to multiply \)3(4-0.01)$$. (b) How much would Adele save by buying 3 bottles at the warehouse store instead of at the grocery store?

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Convert the units. A bottle of medicine contained 300 milliliters. Convert this to liters.
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