Lesson 3-4 - Fractions-to-Decimals (Base-10

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Numeracy
Minute Quiz 3-4 A
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
9÷3=
132 ÷ 12 =
36 ÷ 4 =
50 ÷ 5 =
60 ÷ 6 =
7÷1=
8÷8=
24 ÷ 12 =
84 ÷ 12 =
21 ÷ 3 =
72 ÷ 12 =
10 ÷ 2 =
Numeracy
Minute Quiz 3-4 A
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
9÷3=
132 ÷ 12 =
36 ÷ 4 =
50 ÷ 5 =
60 ÷ 6 =
7÷1=
8÷8=
24 ÷ 12 =
84 ÷ 12 =
21 ÷ 3 =
72 ÷ 12 =
10 ÷ 2 =
Numeracy
Minute Quiz 3-4 A
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
9÷3=
132 ÷ 12 =
36 ÷ 4 =
50 ÷ 5 =
60 ÷ 6 =
7÷1=
8÷8=
24 ÷ 12 =
84 ÷ 12 =
21 ÷ 3 =
72 ÷ 12 =
10 ÷ 2 =
Numeracy
Minute Quiz 3-4 B
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
110 ÷ 11 =
30 ÷ 3 =
77 ÷ 7 =
99 ÷ 9 =
66 ÷ 6 =
35 ÷ 5 =
36 ÷ 4 =
24 ÷ 4 =
10 ÷ 1 =
64 ÷ 8 =
45 ÷ 5 =
4÷1=
Numeracy
Minute Quiz 3-4 B
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
110 ÷ 11 =
30 ÷ 3 =
77 ÷ 7 =
99 ÷ 9 =
66 ÷ 6 =
35 ÷ 5 =
36 ÷ 4 =
24 ÷ 4 =
10 ÷ 1 =
64 ÷ 8 =
45 ÷ 5 =
4÷1=
Numeracy
Minute Quiz 3-4 B
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
110 ÷ 11 =
30 ÷ 3 =
77 ÷ 7 =
99 ÷ 9 =
66 ÷ 6 =
35 ÷ 5 =
36 ÷ 4 =
24 ÷ 4 =
10 ÷ 1 =
64 ÷ 8 =
45 ÷ 5 =
4÷1=
Numeracy
Minute Quiz 3-4 C
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
70 ÷ 7 =
77 ÷ 11 =
72 ÷ 6 =
7÷1=
9÷3=
36 ÷ 4 =
60 ÷ 12 =
20 ÷ 2 =
7÷7=
33 ÷ 11 =
12 ÷ 4 =
66 ÷ 11 =
Numeracy
Minute Quiz 3-4 C
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
70 ÷ 7 =
77 ÷ 11 =
72 ÷ 6 =
7÷1=
9÷3=
36 ÷ 4 =
60 ÷ 12 =
20 ÷ 2 =
7÷7=
33 ÷ 11 =
12 ÷ 4 =
66 ÷ 11 =
Numeracy
Minute Quiz 3-4 C
Name:
Date:
Period:
Solve the following division problems. You have exactly one minute!
70 ÷ 7 =
77 ÷ 11 =
72 ÷ 6 =
7÷1=
9÷3=
36 ÷ 4 =
60 ÷ 12 =
20 ÷ 2 =
7÷7=
33 ÷ 11 =
12 ÷ 4 =
66 ÷ 11 =
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Decimals: How to Convert Fractions to Decimals
These will get messier, so I've got a second lesson on this once you learn
about division of decimals.
So, here's the simple stuff!
We just keep those decimal place values in mind...
These guys are a snap to convert!
What about a fraction like
?
If we can turn the denominator into a
10 or 100 or 1000 (a power of 10), then we can pop it!
Check it out:
Here's another one:
One more:
OK, OK, OK! Wait a minute here! How on earth did I know to multiply that guy
by 125?!
Heh, heh... Because I'm smart! Alright, I'll tell you how I knew.
I know that I want that denominator to be 10 or 100 or 1000 or 10,000... a power
of 10... And 10's are made up of 2's and 5's:
So, we need a PAIR of 2's and 5's!
Look at this guy:
Here's another one:
Note that this will ONLY work if your denominator is made up of nothing but
2's and/or 5's.
Can you convert
this way?
But, there will be another way... There will be another way.
The printing, distribution and/or downloading of these lessons is strictly prohibited.
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HOME
Convert Fractions to Decimals
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The simplest method is to use a calculator.
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Programs
Just divide the top of the fraction by the bottom, and read off the
answer !
Example: What is 5/8 as a fraction?
... get your calculator and type in "5 / 8 =", the answer should be
0.625
To convert a Fraction to a Decimal manually, follow these steps:
Step 1: Find a number you can multiply by the bottom of the fraction to make it
10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal place in the
correct spot (one space from the right for every zero in the bottom number)
Winlogo Programs
Other Bits
Example 1: Express 3/4 as a Decimal
Math Forum
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Privacy Statement
Step 1: We can mulitply 4 by
25 to become 100
Step 2: Multiply top and bottom by 25:
!25
3
4
75
100
!25
Copyright © 2006
MathsIsFun.com
=
Step 3: Write down 75 with the decimal place 2 spaces from the right (because 100 has 2 zeros);
Answer = 0.75
Example 2: Express 3/16 as a Decimal
Step 1: We have to mulitply 16 by 625 to become 10,000
Step 2: Multiply top and bottom by 625:
!625
3
16
1,875
=
10,000
!625
Step 3: Write down 1875 with the decimal place 4 spaces from the right (because 10,000 has 4
zeros);
Answer = 0.1875
Example 2: Express 1/3 as a Decimal
Step 1: There is no way to multiply 3 to become 10 or 100 or any power of 10, but we can
calculate an approximate decimal by choosing to multiply by, say, 333
Step 2: Multiply top and bottom by 333:
!333
1
3
=
333
999
!333
Step 3: Now, 999 is nearly 1,000, so let us write down 333 with the decimal place 3 spaces from
the right (because 1,000 has 3 zeros):
Answer = 0.333 (accurate to only 3 decimal places !!)
Introduction to Fractions
Introduction to Decimals
Convert Decimals to Fractions
Convert Fractions to Percents
Equivalent Fractions
Simplifying Fractions
Fractions Index
Decimals Index