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- Study Sheets - Decimals
- An Overview of Babylonian Mathematics
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# Study Sheets - Decimals

**SECTION 3.4 – COMPARING AND CONVERTING DECIMALS AND
FRACTIONS.**

**Quick facts:**

As implied in the previous sections, every

**fraction**can be rewritten

**as a decimal**. To do

this, just simply divide the numerator of the fraction by the denominator.

Ex. , because

And opposite, **a decimal** can be written **as a
fraction**. To do this, the decimal part of the

decimal will be put in the numerator of the fraction, and the denominator will
be derived

from the place value of the last digit of the number being converted.

Ex. , because the last digit (4) was on the
hundredth place. This fraction can be

further simplified. Always try to find the fraction in the simplest form.

Note: If converting a decimal that contains a whole part,
this whole part would become a

whole part of a mixed number.

Remember to follow the rules of conversion even for problems like:

To **compare** a decimal and a fraction, convert the
fraction into a decimal and than

compare.

Ex. Place a symbol <, > or = between 0.165 and 1/6

Answer: Because 1/6 is equal to approximately 0.166, which
is greater than 0.165, we can

say:

**Test yourself:**

Convert to a decimal:

,round to the
nearest hundredth = 3.67
, round to the nearest thousandth |

Convert to a fraction:

Place a correct symbol between the numbers:

**Challenge Yourself:**

It might be useful for the future for you to know the basic conversions between
fractions

and decimals, as they are widely used in real life. Think of change, for example
a quarter

(which is $ 1/4), can be also written as $0.25.

Getting accustomed with the conversion table (that you can find in Appendix of
this

chapter) simplifies the process of converting fractions to decimals by
eliminating of the

repetitive dividing.

**Assignment:**

Textbook Chapter 3.6 (p.162): Exercises 1 – 69 **every fourth problem**