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Adding Decimals
7.2
+9.5
_____
16.70
Make sure decimals are lined up
Subtracting Decimals
5.6
- 3.5
____
2.1
Make sure decimals are lined up
Finding GCF (Greatest Common Factor)
12, 18
1; 2; 3; 4;
6
1; 2; 3;
6
Find the largest number that will go in each number equally
Find LCM ( lowest common multiple)
5; 6; 15
30
the lowest number that each will go into equally
Adding Unlike Fractions
1/3 + 1/6
Find the lowest common demoninator which is 6 in this case.
1/3 becomes 2/6 (6/3=2 & 2*1=2)
1/6 becomes 1/6 (6/6=1 & 1*1=1)
2/6
+1/6
____
3/6 and reduces to 1/2
Subtracting Unlike Fractions
3/4 - 1/5
Find the LCD (lowest common denominator) which is 20
3/4 becomes 15/20 (20/4=5 & 5*3=15)
1/5 becomes 4/20 (20/5=4 & 1*4=4)
15/20
- 4/20
______
11/20
Estimating Product (using rounding)
8.7 ≈ 9
x 2.8 ≈ 3
____________
27
Examples of rounding
:
91≈90
34≈30
598 ≈600
143≈140
255≈260
704≈700
705≈710
Multiply Decimals
0.83
x 4
_____
3.32 multiply as whole number and count the same number of decimal places.
14.2
x 3
_____
42.6
0.018
x 2
_____
0.036
Multiply Decimals by Decimals
4.2 x 6.7
4.2
x 6.7
____
294 multiply as if whole numbers
252
____
28.14 count same number of decimal places
1.4
x 0.067
________
0268
0067
______
0.0938
Divide. Round to the nearest tenth if necessary
6.8 ÷ 2 line the decimal point in the answer
_
3.4__
2 6.8
- 6
____
8
-8
_______
0
***********************************
7.70 ÷14
_0.55
14 7.70
-70
____
70
- 70
_____
0
***********************************
6.74 ÷ 3
2. 246
3 6.74
-6
________
07
-6
_______
14
-12
________
20 anex a zero
-18
__________
2 The remainder will never be a 0
Find Each Quotient
81.7 ÷ 100 = .817
100 has two zeros...so move decimal over two places to the left
.48 ÷ 1000 = .00048
1000 has three zeros..so move decimal over three places to the left
Find each Product
.35 x 100 = 35
100 has two zeros..so move decimal over two places to the right
8.5 x 1000 = 8500
1000 has three zeros..so move decimal over three places to the right
Write each Product using an Exponent
6x6x6x6=6
4
Product as a Power
5
2
= 5x5 = 25 Power as Produck of same factor - Then find Value
1.5
3
= 1.5 x 1.5 x 1.5 = 3.375
1.5
x
1.5
= 2.25 x
1.5
= 3.375
Dividing by Decimals
1.71 ÷ 0.9
There is one place after the decimal 0.9 so move the other number over by one place.
1.9
9 17.1
- 9
_______
81
- 81
What is a fraction?
A number that names part of a whole or group
Numerator si the top number
Denominator is the bottom number
Reducing Fractions
Two Rules
:
1. You can divide top & bottome by any number as long as you use the same number for both.
2. You need to get both numbers as small as possible
100
÷
100 = 1
200 ÷ 100 = 2
8
÷
8 = 1
24 ÷8 = 3
4 ÷
2 = 2
10 ÷ 2 = 5
Part of a number
Find 5/7 of 14
14 ÷ 7 = 2 then 2 x 5 =
10
So 5/7 of 14 is 10
Find the reciprocal
2/3 = 3/2
simply turn the fraction up side down
Divide. Write in simplest form
(making the second fraction into a reciprocal)
2 ÷ 1/3 =
2/1 x 3/1 = 6/1 = 6
**************************
5 ÷ 2/7=
5/1 x 7/2 = 35/2 = 17 1/2
**************************
1/8 ÷ 1/2=
1/8 x 2/1 = 2/8 or 1/4
*************************
5 1/2 ÷ 2 =
11/2 x 1/2 = 11/4 = 2 3/4
Card Set Information
Author:
AudreyHess
ID:
173307
Filename:
Math
Updated:
2012-10-18 18:38:37
Tags:
Math
Folders:
Description:
Blakes - 6th grade math
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