Download Lesson 12: Converting Between Fractions and Decimals Using

Name:_________________________________
M2L12
Date:_________
Accordino-Math 7
Period:________
Lesson 12: Converting Between Fractions and
Decimals Using Equivalent Fractions and Long Division
Bellringer
1) Place-Value
Label each digit with its correct place-value
a. Ten-thousandths
b. Tenths
c. Hundredths
d. Ones/whole
e. Thousandths
2.2576
___________
___________
___________
___________
2) Round the rational number from above to the nearest thousandths:
2.2576
_______________________________
_____________
Name:_________________________________
M2L12
Accordino-Math 7
Date:_________
Period:________
Lesson 12: Converting Between Fractions and Decimals Using
Equivalent Fractions and Long Division
Notes
REVIEW: Place-Value
2.2576
___________
___________
___________
___________
_____________
Place-Value in the Real World: When do we represent quantities in the real world as either
fractions or decimals?
Example 1: Using Place Values to Write Terminating Decimals as Equivalent Fractions
Converting Decimals to Fractions:
1.
2.
3.
4.
Example 1) Convert each decimal to a fraction
0.3
-0.54
1.08
Name:_________________________________
M2L12
Date:_________
Accordino-Math 7
Period:________
What is 𝟐. 𝟐𝟓 as a fraction or mixed number?
What is 𝟐. 𝟎𝟐𝟓 as a mixed number in simplest form?
You Try It!
Use place value to convert each terminating decimal to a fraction. Then rewrite each fraction in its simplest form.
a.
0.218
b.
2.72
c.
0.0005
Terminating and Non-terminating Decimals:
Rational Number:___________________________________________________________________
Irrational Number:__________________________________________________________________
1) 20.565656…
4) 8
7)
1
2
2) .05
5) 0.25
8)
3
4
3) 8.33
6) 0.14285741258714…
9) 𝜋
*We write repeating decimals using a bar over the repeating number(s).
EX 1)
EX 2)
Name:_________________________________
M2L12
Date:_________
Accordino-Math 7
Period:________
Example 2: Converting Rational Numbers to Decimals Using Long-Division
Converting Fractions to Decimals:
1.
2.
3.
3
Use the long division algorithm to find the decimal value of − .
4
Use the long division algorithm to find the decimal value of
1
3
.
Name:_________________________________
M2L12
Date:_________
Accordino-Math 7
Period:________
You Try It!
Convert each rational number to its decimal form using long division. Then specify if it is a terminating or nonterminating decimal.
a.
b.
7
− =
8
3
16
=
c.
1
13
d. 
=
1
11
Name:_________________________________
M2L12
Accordino-Math 7
Date:_________
Period:________
Homework:
1) Convert each terminating decimal to a fraction in its simplest form.
a.
0.4
b.
0.16
c.
0.625
d.
0.08
e.
0.012
2) Using a separate sheet of paper to show the long-division for each problem:
3) Chandler tells Audrey that the decimal value of 
1
is not a repeating decimal. Should Audrey believe him? Explain.
17
Name:_________________________________
M2L12
Accordino-Math 7
Date:_________
Period:________
Lesson 12: Converting Between Fractions and
Decimals Using Equivalent Fractions and Long
Division
Exit Ticket
1) (2 points) Convert each decimal to a fraction in lowest terms.
2) Convert the fraction below to a decimal using long division.