Write the decimal as a percent. 0.007 0.007 = % (Simplify your answer. Type a whole number or a decimal.) Write the decimal as a fraction. Do not write in lowest terms. 0.086 The equivalent fractional form of 0.086 is (Do not simplify.) Write the fraction as a percent. 45 4 45 % 4
The Correct Answer and Explanation is :
Let’s break down each part of the problem step by step:
1. Write the decimal as a percent: 0.007
To convert a decimal to a percentage, multiply the decimal by 100. This is because “percent” means “per hundred,” so multiplying by 100 gives the equivalent value as a percentage.
[
0.007 \times 100 = 0.7
]
Therefore, 0.007 as a percent is 0.7%.
2. Write the decimal as a fraction: 0.086
To express a decimal as a fraction, first recognize that the decimal places correspond to the denominator. For 0.086, there are three decimal places. This means the fraction is:
[
0.086 = \frac{86}{1000}
]
So, the equivalent fractional form of 0.086 is 86/1000.
3. Write the fraction as a percent: 45/4
To convert a fraction to a percentage, first divide the numerator by the denominator to get a decimal, and then multiply by 100 to convert that decimal into a percentage.
Start by dividing 45 by 4:
[
\frac{45}{4} = 11.25
]
Now, multiply by 100 to convert it into a percentage:
[
11.25 \times 100 = 1125
]
Therefore, 45/4 as a percent is 1125%.
Explanation
To convert a decimal into a percentage, the process is simple—multiply the decimal by 100. This is because percentages are based on a scale of 100, so multiplying by 100 changes the decimal value into an equivalent number “per hundred.”
To convert a decimal to a fraction, the number of decimal places indicates the power of 10 that will be used in the denominator. For example, 0.086 has three decimal places, so it is written as 86/1000. Writing decimals as fractions helps to express numbers that are not whole numbers in a different form, which is useful for comparison and calculation purposes.
Converting a fraction into a percentage involves first converting the fraction to a decimal and then multiplying by 100. This process is helpful because percentages are often used to express proportions and comparisons more clearly than fractions or decimals, especially in contexts like finance, statistics, and data analysis.