Download 7 Math Vocabulary # 9 (Decimals and Fractions).notebook

7 Math Vocabulary # 9 (Decimals and Fractions).notebook
7th Grade Math Vocabulary
Decimal Computation and Fractions
Ahrens
Dividend
The number being divided in a division equation.
3
Dividend
8 24
Dividend
Decimal and Fraction Glossary
Dividend
Quotient
Divisor
The number the dividend is divided by.
A number that divides another number without a remainder.
3
25
8 = 3 R1
8 24
24 8 = 3
Divisor
Must divide evenly.
The number that is the result of dividing one number by another.
12 3 = 4 Quotient
Divisor
Divisor
3 x 5 = 15
3 is a factor of 15
3 and 5 are factors of 15
Factor
Quotient
4 3 12
3
=
4 Quotient
Repeating Decimal
A whole number that can A whole number that multiplies with divide into another another number to number with no remainder.
make a third number.
3= 5
12
Quotient
Factor
15 24
8 = 3
24 8 = 3
Dividend
R
5 1
3 16
3 is not a factor of 16
A decimal with a digit or group of digits that repeats endlessly.
. 3 3 3...
3 1.0 0 0
9
_
­ __
10
___
­ 9
10
___
­ 9
1
7 =
33
1 =
3
__
.3
__
.21
(.212121...)
Repeating Decimal
1
7 Math Vocabulary # 9 (Decimals and Fractions).notebook
Terminating Decimal
Ahrens
7th Grade Math Vocabulary
A decimal that ends and doesn't go on forever.
. 3 3 3...
3 1.0 0 0
9
­___
10
___
­ 9
10
___
­ 9
1
1/2 = .5
3/8 = .375 Fractions
Terminating Decimal
Fraction Glossary
Algorithm
Bar Model
A step­by­step process to find a solution.
A diagram that uses bars to show the relationship between two or more numbers.
It's like a cooking recipe for mathematics.
How to...
Step 1:
Step 2:
Step 3:
24 + 12 =
Add the ones
then add the tens
Whole
Part
Whole
Part
Part + Part = Whole
Whole ­ Part = Part
Larger Amount
Difference
Large ­ Small = Difference
Large ­ Difference = Small
Algorithm
Part
One part Smaller Amount
x # of parts
Whole
Bar Model
Common Denominator
Mixed Number
A whole number that is a common multiple of all the denominators of a set of fractions.
A number, greater than one, written as a whole number with a fraction.
1
3 3,6,9,12
1
4,8,12
4
LCD is 12
1 x 4 4 3 x 4 = 12
1x 3
+ 4 x 3= 3 12
1
1 3 x 4 = 12
1
1 + 4 x 3 = 12
Common Denominator 2
1
3
Decimal 3 110
2.5 Number
Improper 9
Fraction
7
Mixed Numbers
2
7 Math Vocabulary # 9 (Decimals and Fractions).notebook
Ahrens
Regroup
Improper Fraction
(Fractions)
To write a whole number as a fraction equal to one to assist with subtracting.
A fraction whose numerator is greater than its denominator.
4
3
All improper fractions are greater than 1.
4
3
1
1
3
=
3
1
5
=
Regroup
Complex Fraction
Reciprocal
A fraction whose numerator or denominator or both contain fractions.
One of two numbers whose product is one.
=3
1
5
2
3
2
=
1
3
5
1
5
1
2 13 =143
Improper Fraction
3
3
2 13 =13 + 3
4
= 13
1
5
2
3
Must be written as a fraction.
1 x 1 = 1
Number
1 is the reciprocal of 1.
2 x 12
1
= n
1 x = 1
n 1
Reciprocal
Complex Fraction
Reciprocal
Cross Simplify
Used to make operations with fractions easier. Divide the numerator of one fraction and the denominator of another fraction by their GCF.
1
5
15
20
GCF of 5 and 15 is 5.
3
1 153
51 20
= 20
Cross Simplify
3