What is the decimal notation for the fraction 1/4? How can you show that 1/4 = 25/100? How can you write 5/16 as a decimal? How would you write 1/9 as a decimal?

Solution Preview

First, we must understand that decimal numbers are numbers written in our base ten system: the value of a digit in each place is 10 times the value the same digit would have one place to its right. To do these type of questions, make sure that you are familiar with the base ten system, including the value of a digit in any given place. For example, for the number 432, the two represents the one value, the 3 represents the tenth place, and the 4 represents the hundreds place.

1. What is the decimal notation for the fraction 1/4?

The decimal notation for the fraction ¼ is 0.25. The proper way to say ...

Solution Summary

This solution assists with math problems on fractions as terminating and repeating decimals.

a. Which fractions a/b have terminating decimals? b. Which fractions a/b have repeating decimals? ... Assuming a/b is a reduced fraction, how can you tell which of ...

... Now test your rule on at least three new fractions. That is, be able to 1 1 predict whether a fraction such as or has a terminating decimal or a repeating...

... Work with a group to discover which fractions have terminating decimals and which ... You may assume that the numerator of each fraction you consider is and ...

... c* = 1, then 1/c* has a terminating decimal expansion ... a finite decimal expansion or a repeating decimal expansion ... Hence, a fraction in lowest terms with a prime ...

... Any terminating decimal can be converted to a fraction... some fraction; call this fraction "x". That is ... accountants use decimals, percentages, and fractions every. ...

... Now test your rule on at last three new fractions. That is, be able to predict whether a fraction such as 1/25 or 1/30 has a terminating decimal or a ...

... following fractions to decimals that either terminate or repeat... given away is ¾ (3) What fraction air is ... If a student argues that fractions should no longer be ...

... a repeating decimal which can be converted to a fraction. ... because the decimal is non-repeating nor non-terminating. ...Fractions are rational numbers by definition ...

... way of doing this is to write the fractions using the ... 6. Write the following as a common fraction or mixed ... Keep dividing until the answer terminates or repeats...

... simplification and other fraction operations, distributive ... precedes understanding how fractions correspond to ... infinite (non-terminating) decimals, which then ...