QuestionDescribe the various ways to express rational numbers, including fractions, decimals, and percentages.

Studdy Solution

STEP 1

Assumptions1. A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where the denominator q is not zero. . Different forms of rational numbers include fraction form, decimal form, and percent form.

STEP 2

First, let's consider a rational number in fraction form. This is the most common form of a rational number. For example,/4 is a rational number in fraction form.

STEP 3

The decimal form of a rational number can be obtained by dividing the numerator by the denominator. For example, the decimal form of3/ is obtained by dividing3 by.
$Decimal\, form = \frac{umerator}{Denominator}$

STEP 4

Now, plug in the given values for the numerator and denominator to calculate the decimal form.
$Decimal\, form = \frac{3}{4}$

STEP 5

Calculate the decimal form.
$Decimal\, form = \frac{3}{4} =0.75$

STEP 6

The percent form of a rational number can be obtained by multiplying the decimal form by100 and adding the percent symbol (%). For example, the percent form of0.75 is obtained by multiplying0.75 by100 and adding the percent symbol (%).
$Percent\, form = Decimal\, form \\times100\%$

STEP 7

Now, plug in the given value for the decimal form to calculate the percent form.
$Percent\, form =0.75 \\times100\%$

STEP 8

Calculate the percent form.
$Percent\, form =0.75 \\times100\% =75\%$ So, the rational number3/4 can be written in different forms as a fraction (3/4), as a decimal (0.75), and as a percent (75%).

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QuestionDescribe the various ways to express rational numbers, including fractions, decimals, and percentages.

Studdy Solution

STEP 1

Assumptions1. A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where the denominator q is not zero. . Different forms of rational numbers include fraction form, decimal form, and percent form.

STEP 2

First, let's consider a rational number in fraction form. This is the most common form of a rational number. For example,/4 is a rational number in fraction form.

STEP 3

The decimal form of a rational number can be obtained by dividing the numerator by the denominator. For example, the decimal form of3/ is obtained by dividing3 by.
$Decimal\, form = \frac{umerator}{Denominator}$

STEP 4

Now, plug in the given values for the numerator and denominator to calculate the decimal form.
$Decimal\, form = \frac{3}{4}$

STEP 5

Calculate the decimal form.
$Decimal\, form = \frac{3}{4} =0.75$

STEP 6

The percent form of a rational number can be obtained by multiplying the decimal form by100 and adding the percent symbol (%). For example, the percent form of0.75 is obtained by multiplying0.75 by100 and adding the percent symbol (%).
$Percent\, form = Decimal\, form \\times100\%$

STEP 7

Now, plug in the given value for the decimal form to calculate the percent form.
$Percent\, form =0.75 \\times100\%$

STEP 8

Calculate the percent form.
$Percent\, form =0.75 \\times100\% =75\%$ So, the rational number3/4 can be written in different forms as a fraction (3/4), as a decimal (0.75), and as a percent (75%).

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QuestionDescribe the various ways to express rational numbers, including fractions, decimals, and percentages.

Studdy Solution

STEP 1

Assumptions1. A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where the denominator q is not zero. . Different forms of rational numbers include fraction form, decimal form, and percent form.

STEP 2

First, let's consider a rational number in fraction form. This is the most common form of a rational number. For example,/4 is a rational number in fraction form.

STEP 3

The decimal form of a rational number can be obtained by dividing the numerator by the denominator. For example, the decimal form of3/ is obtained by dividing3 by.Decimal form=umeratorDenominatorDecimal\, form = \frac{umerator}{Denominator}Decimalform=Denominatorumerator​

STEP 4

Now, plug in the given values for the numerator and denominator to calculate the decimal form.Decimal form=34Decimal\, form = \frac{3}{4}Decimalform=43​

STEP 5

Calculate the decimal form.Decimal form=34=0.75Decimal\, form = \frac{3}{4} =0.75Decimalform=43​=0.75

STEP 6

STEP 7

Now, plug in the given value for the decimal form to calculate the percent form.Percent form=0.75times100%Percent\, form =0.75 \\times100\%Percentform=0.75times100%

STEP 8

Calculate the percent form.Percent form=0.75times100%=75%Percent\, form =0.75 \\times100\% =75\%Percentform=0.75times100%=75%So, the rational number3/4 can be written in different forms as a fraction (3/4), as a decimal (0.75), and as a percent (75%).

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The decimal form of a rational number can be obtained by dividing the numerator by the denominator. For example, the decimal form of3/ is obtained by dividing3 by.
$Decimal\, form = \frac{umerator}{Denominator}$

Now, plug in the given values for the numerator and denominator to calculate the decimal form.
$Decimal\, form = \frac{3}{4}$

Calculate the decimal form.
$Decimal\, form = \frac{3}{4} =0.75$

Now, plug in the given value for the decimal form to calculate the percent form.
$Percent\, form =0.75 \\times100\%$

Calculate the percent form.
$Percent\, form =0.75 \\times100\% =75\%$ So, the rational number3/4 can be written in different forms as a fraction (3/4), as a decimal (0.75), and as a percent (75%).