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Analyze Algorithms For Computing with Decimals
and FractionsMr. Newman
2010-2011
Adding Fractions
TOPIC = Adding Fractions
Common Denominator
Rewriting Fractions
Adding
Simplify/Reduce
Find the LCM of both denominators.
Multiply numerator and denominator of each fraction by the factor that helps create common denominators.
Add the numerators of your fractionsand keep the common denominator
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerator and denominator.Divide by the GCF to simplify answer.
Turn to your neighbor and tell them what
the first step would be when adding fractions?
Quiz Time!
COMMON DENOMINATOR
Subtracting Fractions
TOPIC = Subtracting Fractions
Common Denominator
Rewriting Fractions
Subtract
Simplify/Reduce
Find the LCM of both denominators.
Multiply numerator and denominator of each fraction by the factor that helps create common denominators. Check to see if you need to regroup or rename.
Subtract the numerators of your fractionsand keep the common denominator
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerator and denominator.Divide by the GCF to simplify answer.
Turn to your neighbor and tell them what
the first step would be when subtracting fractions?
Quiz Time!
COMMON DENOMINATOR
Multiplying Fractions
TOPIC = Multiplying Fractions
Pre-Simplify
Multiply
Simplify/Reduce
Multiply numerators and denominators across.
Change mixed numbers into improper Fractions.
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerators and denominators.
Divide by the GCF to simplify answer.
Change improper fractions into mixed numbers.
Turn to your neighbor and tell them what
the first step would be when multiplying fractions?
Quiz Time!
PRE-SIMPLIFY
Dividing Fractions
TOPIC = Dividing Fractions
Reciprocals
Pre-Simplify
Multiplying
Simplify/Reduce
Check to see if mixed numbers need to be changed into improper fractions. Flipsecond fraction and re-write problem as multiplication.
Multiply numerators and denominators straight across.
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerator and denominator.Divide by the GCF to simplify answer.
Change improper fractions into mixed numbers.
Turn to your neighbor and tell them what
the first step would be when dividing fractions?
Quiz Time!
RECIPROCALS
Adding Decimals
TOPIC = Adding Decimals
Line up decimal
Add
Bring down decimalinto answer.
Check to see if zeros are needed to holdplace values.
Add up each place value.
Turn to your neighbor and tell them what
the first step would be when adding decimals?
Quiz Time!
LINE UP DECIMALS
Subtracting Decimals
TOPIC = Subtracting Decimals
Line up decimal
Subtract
Bring down decimalinto answer.
Check to see if zeros are needed to holdplace values.
Subtract each place value. Check for regrouping.
Turn to your neighbor and tell them what
the first step would be when subtracting fractions?
Quiz Time!
LINE UP DECIMALS
Multiplying Decimals
TOPIC = Multiplying Decimals
Multiply
Decimal Placement
Underline or count how many numbers there are to the right of each decimal point.
Underline the number of digits in youranswer from right to left that is equal tothe total number of digits there were to the right of the decimal points in the problem.
Turn to your neighbor and tell them what
the first step would be when multiplying fractions?
Quiz Time!
MULTIPLY
Dividing Decimals
TOPIC = Dividing Decimals
Move decimals
Divide
Move decimal the same number of placesin the divisor as in the dividend so that the divisor is a whole number.
DivideMultiplySubtractBring downRepeat
Check for an answer that repeats or terminates.
Turn to your neighbor and tell them what
the first step would be when dividing fractions?
Quiz Time!
MOVE DECIMALS
TOPIC = Adding Fractions
Find the LCM of both denominators.
Multiply numerator and denominator of each fraction by the factor that helps create common denominators.
Add the numerators of your fractionsand keep the common denominator
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerator and denominator.Divide by the GCF to simplify answer.
TOPIC = Subtracting Fractions
Find the LCM of both denominators.
Multiply numerator and denominator of each fraction by the factor that helps create common denominators. Check to see if you need to regroup or rename.
Subtract the numerators of your fractionsand keep the common denominator
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerator and denominator.Divide by the GCF to simplify answer.
TOPIC = Multiplying Fractions
Multiply numerators and denominators across.
Change mixed numbers into improper Fractions.
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerators and denominators.
Divide by the GCF to simplify answer.
Change improper fractions into mixed numbers.
TOPIC = Dividing Fractions
Check to see if mixed numbers need to be changed into improper fractions. Flipsecond fraction and re-write problem as multiplication.
Multiply numerators and denominators straight across.
Compare the prime factorization of yournumerator and denominator to find theGCF of your numerator and denominator.Divide by the GCF to simplify answer.
Change improper fractions into mixed numbers.
TOPIC = Adding Decimals
Check to see if zeros are needed to holdplace values.
Add up each place value.
TOPIC = Subtracting Decimals
Check to see if zeros are needed to holdplace values.
Subtract each place value. Check for regrouping.
TOPIC = Multiplying Decimals
Underline or count how many numbers there are to the right of each decimal point.
Underline the number of digits in youranswer from right to left that is equal tothe total number of digits there were to the right of the decimal points in the problem.
TOPIC = Dividing Decimals
Move decimal the same number of placesin the divisor as in the dividend so that the divisor is a whole number.
DivideMultiplySubtractBring downRepeat
Check for an answer that repeats or terminates.
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