Give the equivalent value of the fraction in decimal form, and then determine if it is a terminating or repeating decimal.

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

The decimal equivalent of 34/5 is 6.8. It is a terminating decimal.

Step-by-step explanation:

A fraction will have a terminating decimal representation if its denominator is some product of powers of 2 and powers of 5. Here, the denominator is 5, so the decimal fraction will terminate.

34/5 = 68/10 = 6.8 . . . . . this is a terminating decimal value

_____

If the denominator has any other factor (other than 2 or 5), the decimal representation will repeat. The length of the repeat may be up to n-1 digits, where n is the factor of the denominator that remains after powers of 2 and 5 have been removed. For example, the decimal representation of 1/7 has a 6-digit repeat; 1/19 has an 18-digit repeating decimal representation.

You might be interested in

Solve each equation for the missing variable. If your answer is not an integer, write it as an improper fraction.

FromTheMoon [43]

First example:

Subtract the 8n on both sides to get the variable on one side of the equation. Do the same for the regular numbers. Then divide by -3.

$5n-14=8n+4\\ \\ 5n-8n=4+14 \\ \\ -3n=18\\ \\ n=-6$