Choose your Subject !
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×
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÷
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Long Division
(includes the correct spaces to help you get it right)
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123
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My Daughter loves these!
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0.1
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+ - × ÷, and conversion from
fractions
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1/10, 1/100
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+ - × ÷, and conversion
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1/2, 3/5
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+ - × ÷, and conversion
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3:30
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"Tell the time" and
"Draw the hands"
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Convert Decimals to Fractions
(Multiply
top and bottom by 10 until you get a whole number, then simplify)
To
convert a Decimal to a Fraction follow these steps:
Step 1: Write down the decimal divided by 1, like this: decimal/1
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Step 2: Multiply both top and bottom by 10 for every number after
the decimal point. (For example, if there are two numbers after the decimal
point, then use 100, if there are three then use 1000, etc.)
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Example:
Express 0.75 as a fraction
Step 1: Write down 0.75 divided by 1:
0.75
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1
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Step 2: Multiply both top and bottom by 100 (there were 2
digits after the decimal point so that is 10×10=100):
×
100
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0.75
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=
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75
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1
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100
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×
100
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(Do
you see how it turns the top number
into a whole number?)
into a whole number?)
÷5
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÷
5
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75
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=
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15
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=
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3
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100
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20
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4
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÷5
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÷
5
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Answer = 3/4
Note:
75/100 is called a decimal fraction and 3/4 is called a common
fraction !
Example: Express 0.625 as a fraction
Step 1: write down:
0.625
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1
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Step 2: multiply both top and bottom by 1,000 (there were 3
digits after the decimal point so that is 10×10×10=1,000)
625
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1,000
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Step 3: Simplify the fraction (it took me two steps here):
÷ 25
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÷ 5
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625
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=
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25
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=
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5
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1,000
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40
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8
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÷ 25
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÷ 5
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Answer = 5/8
Example:
Express 0.333 as a fraction
Step 1: Write down:
0.333
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1
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Step 2: Multiply both top and bottom by 1,000 (there were 3
digits after the decimal point so that is 10×10×10=1,000)
333
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1,000
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Step 3: Simplify Fraction:
Can't
get any simpler!
Answer = 333/1,000
But
a Special Note:
If you really meant 0.333... (in
other words 3s repeating forever which is called 3 recurring) then we
need to follow a special argument. In this case we would write down:
0.333...
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1
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Then MULTIPLY both top and bottom by
3:
×
3
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0.333...
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=
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0.999...
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1
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3
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×
3
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Answer
= 1/3
Convert Fractions to Decimals
The
simplest method is to use a calculator.
Just divide the top of the
fraction by the bottom, and read off the answer !
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Example:
What is 5/8 as a decimal ... ?
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...
get your calculator and type in "5 / 8 ="
The answer should be 0.625
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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.
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Step 2: Multiply both top and bottom by that number.
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Step 3. Then write down just the top number, putting the decimal
point in the correct spot (one space from the right hand side for every zero
in the bottom number)
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Example
1: Express 3/4 as a Decimal
Step 1: We can multiply 4 by 25 to
become 100
Step 2: Multiply top and bottom by
25:
×25
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3
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=
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75
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4
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100
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×25
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Step 3: Write down 75 with the
decimal point 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 multiply 16 by 625
to become 10,000
Step 2: Multiply top and bottom by
625:
×625
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3
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=
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1,875
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16
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10,000
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×625
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Step 3: Write down 1875 with the
decimal point 4 spaces from the right (because 10,000 has 4 zeros);
Answer
= 0.1875
Example
3: Express 1/3 as a Decimal
Step 1: There is no way to multiply
3 to become 10 or 100 or any "1 followed by 0s", but we can calculate
an approximate decimal by choosing to multiply by, say, 333
Step 2: Multiply top and bottom by
333:
×333
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1
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=
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333
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3
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999
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×333
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Step 3: Now, 999 is nearly
1,000, so let us write down 333 with the decimal point 3 spaces from the
right (because 1,000 has 3 zeros):
Answer
= 0.333 (accurate to only 3 decimal places !!)
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