4. DECIMALS
A Decimal is a fraction where the denominator is a number
such as 10 ,100,1000,etc (That is a power of ten)
EXAMPLES
1000
3333
333.3
100
233
33.2
10
23
3.2
5. CONVERT DECIMAL TO FRACTION
STEPS
Count the number of decimal place
Remove the decimal point
Put the decimal part over denominator
Put the fraction in simplest for
EXAMPLE
o0.47 =
47
100
o5.626 =
5626
1000
6. CONVERT A FRACTION TO DECIMAL
STEPS
Divide the numerator of fractionby the
denominator
Round the quotient to a desired place value
EXAMPLES
45
10
= 4.5
3625
100
= 3.625
8. PLACE VALUE
In a decimal form we put the dot to separate the whole
number part and the fraction part digits to the left to the dot
denote multiples of one ,ten ,hundred and so on ,digit on the
right denote multiple of ten , hundred , thousand , and so on
EXAMPLE
PLACE
VALUE
100 10 1 𝟏
𝟏𝟎
𝟏
𝟏𝟎𝟎
DIGITS 2 4 1 3 9
10. ROUNDING TO THE NEAREST TENTH
Rounding decimal is very similar to rounding other
numbers
If the hundredth and thousandths place of aces of a
decimal is forty-nine or less, they are dropped and the
tenths place does not change
For example ,rounding 0.843 to the nearest tenth
would give 0.8
If the hundredth and thousandth place are fifty ,or
more, the tenths place is increased by one
The decimal 0.866 rounded to the nearest tenth is 0.9
11. COMPARING DECIMAL NUMBERS
If there are two decimal numbers we can compare them.one
number is greater than ,less than or equal to the other number
A decimal number is just a fractional number . Comparing 0.7 and
0.07 is clear if we compared
𝟕
𝟏𝟎
to
𝟕
𝟏𝟎𝟎
.
The decimals are compared start with tenth place and hundred
place
If one decimal has a higher number in the tenth place then it is
larger than a decimal with fewer tenths. If then the tenths are
equal compare hundred , then thousand etc.
Until one decimal is larger or there are no more place compare
them .
If each decimal place value is the same then the decimals are equal
12. EXAMPLE
Order from the least to greatest ; 12.34 , 12.4 , 12.43 , 12.3
Write the numbers vertically by lining up the decimal
point 12.34
12.4
12.43
12.3
Add a zero to make the numbers all have the same
number of digits
12.34
12.40
12.43
12.30
Order :12.30 ;12.34;12.40;12.43
13. ADDITTION OF DECIMALS
Decimals are same as fractional numbers
Adding decimal is just like adding other numbers
Always line up the decimal points when adding decimals
Remember to put the decimal point in the proper place in your answer
EXAMPLE
Add 3.5+2.1
Add tenths 5+1 = 𝟔
Add ones 3+2= 𝟓
3.5+2.1=5.6
14. SUBTRACTION
Substracting decimal just like subtracting other
numbers
Always line to the decimal points when subtracting
decimals
Remember to put the decimal point in the proper place
your answer
EXAMPLE
subtract 5.8-4.0
subtracting right to left
Subtract tenths 8-0= 8
Subtract ones 5-4 = 1
5.8-4 =1.8