5-1 Decimals as Fractions

Two Questions

2

ponder

What fraction of the rectangle is green?

They sound alike!!!

What decimal part of the rectangle is green?

.6

To write a decimal as a fraction, write the

fraction as you would say the decimal

Hundredths

Ten-thousandths

tenths

0.12345

Hundred-thousandths

Thousandths

Say the decimal.Write it as a fraction

Notice.when you change a decimal to a fraction

the denominator is always 10, 100, 1000 (powers

of ten!)

- .5
- .65
- .22
- .2
- .225

Is that all there is?

Of Course Not

You have to simplify the fraction if possible

Write .6 as a fraction

BUT

SO

What about fractions to decimals?

You can write a fraction as a decimal by dividing

the numerator by the denominator..the fraction

symbol means division!

(No Transcript)

One more thing

When you divide, REMEMBER, add zeros to finish

your division.

AND

2 THINGS CAN HAPPEN

The division problem ends

A Terminating decimal

The division problem goes on forever.Repeating

decimal

Repeating Decimals

A single digit might repeat. .3333. Or a group

of digits might repeat .275275275.

Show repeating decimals by placing a line over

the digit or group of digits that repeats

.33333. Becomes .3 And .275275.becomes .275

Remember

Whole numbers stay the same!

Homework

Page 212 in your textbook. Problems 14-38 Start

now!