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# How can use division to find the Decimal equivalent of a rational number?

Updated: 9/26/2023

Wiki User

7y ago

A rational number can be expressed as a ratio p/q of two integers where q > 0. Divide the numerator p by the denominator q. The answer is the decimal representation of the rational number.

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6y ago

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Q: How can use division to find the Decimal equivalent of a rational number?
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### How can you use division to find the decimal equivalent of a rational number?

Divide the numerator of the rational number by its denominator. The quotient is the decimal equivalent.

### How do you change rational number to decimal?

Converting a rational number to a decimal using long division. For example if you have a rational number of 2/5 you would set up the equation as 2 divided by 5 which requires long division. The answer to this would then be the decimal number 0.4.

### What can you say about the decimal expansion of any rational number?

If its a rational number then its decimal equivalent can be expressed as a fraction

### How do you do fractional as decimal?

You undertake a long division. Any fraction is a rational number and so its decimal representation must be terminating or recurring. A terminating decimal will mean that the long division reaches a point when the remainder is zero. A recurring decimal sequence is equivalent to the long division going through a cycle of remainders.

### How do multiplication and division of rational number relate to one another?

Division by a non-zero rational number is equivalent to multiplication by its reciprocal.

### Convert the decimal below into a rational number. 0.1?

0.1 is equivalent to 1/10 which is a rational number

1

### How can a rational number be writtenin another way?

It can be expressed as a rational fraction, an equivalent rational fraction or as a decimal fraction.

34/99

34/99

### What rational number has 0.34 as its decimal equivalent?

It is simply: 0.34 = 0.340

### What is the decimal equivalent of -12?

-12 is the decimal equivalent of -12. -12 is also an integer, rational number, and a real number to name a few more.