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.