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# Mathematics Grade 5 Fractions and Decimals

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by

Tweet## Suvas Patel

on 5 November 2012#### Transcript of Mathematics Grade 5 Fractions and Decimals

Fractions and Decimals Grade 5 Mathematics Equivalent Fractions Comparing and Ordering Fractions Fraction and Decimal Benchmarks If you had a squash ball that had a mass of 2.39 grams, estimate the mass of 8 squash balls. Estimating Products and Quotients Question:There are some varieties of cactus that grow only 2.54 cm per year. How much would one of these cacti grow in 3 years? Multiplying Decimals with Hundredths Questions Time! Fractions and Mixed Numbers Step 1: Write fractions with denominator of

10 or 100

Example: 3/5 can be written as 6/10

23/25 can be written as 92/100 Relating Fractions to Decimals There are 8 cookies and 5 people who want to share them equally.How many cookies does each person get? Relating Fractions to Divisions Question: Nicole went to the Go Karts and drove around the track 3 times. The track was 1.6 km. About how far did Nicole travel? Multiplying Decimals with Tenths Question:

You and 3 friends have 13.6 cm of taffy and want to share equally. How much does each person get? Dividing Decimals with Tenths Money Loonie is $ 1.00 Quarter is $0.25

or 25/100

or 1/4 Dime is $0.10

or 10/100

or 1/10 Nickel is $0.05

or 5/100

or 1/20 Penny is $0.01

or 1/100 Challenge! - Are 2/5 and 0.30 the same?

Show your answer. Answer: Each person gets 1 and 3/5 cookies Answer Using Long Division Answer Using Decimals 1 cookie each

3 cookies left to be divided equally between 5 people. 3/5 = 6/10 = 0.6

and 1 + 0.6 = 1.6 cookies for each person. Answer: Each person gets 1 and 3/5 cookies 1 cookie each

3 cookies left to be divided equally between 5 people. Therefore 3/5 for each person. Answer: Each person gets 1 and 3/5 cookies Method 1:

Using base ten blocks, place 4 groups of 1.6, then replace 20 tenths with 2 ones instead Method 2:

On grid paper, draw 4 groups of 1.6 Method 3:

The old method! Method 1:

Using base ten blocks, place 3 groups of 2.54 on the place-value mat.

Regroup 10 hundredths as 1 tenth.

Regroup 10 tenths as 1 one. Method 2:

Use what you know about multiplying whole numbers

Step 1:

Multiply the numbers WITHOUT the decimal points.

Step 2:

Estimate to place the decimal point in the answer.

Use front-end estimation: 2.54 is approximately 2

3 x 2 = 6, so the decimal point should go after the 7

2.54 x 3 = 7.62 Question: 4 baseballs have a total mass of 575.94

grams. Estimate the mass of 1 baseball. USE BASE TEN BLOCKS

1) Model 13.6

2) Share 13 ones among 4 equal groups

There will be 4 equal groups of 3 with 1 one left over.

3) Trade the 1 one for 10 tenths. There are now 16 tenths.

4) Share the 16 tenths equally

There are 3 ones and 4 tenths in each group.

Each person gets 3.4 cm of taffy.

USE WHAT YOU KNOW ABOUT WHOLE NUMBERS

1) Record the numbers WITHOUT the decimal point.

136/4 Write 13/4 as mixed numbers. Step 2: Now convert these fractions to decimals.

6/10 = Six Tenths = 0.6 = 0.60

92/100 = Ninety-two Hundredths = 0.92 Estimate: 2.39 x 8 2.39 is about 2.5 Possibly use doubles… 2 balls 2 x 2.5 = 5 4 balls 2 x 5 = 10 8 balls 2 x 10 = 20 the mass of the 8 squash balls is approximately 20 grams you could even round the number off to the nearest whole number as well 575.94/4 look for compatible numbers, these are numbers that you can divide mentally. 575.94 is close to 600 600 is 60 tens 60 tens / 4 = 15 tens therefore, the mass of 1 baseball

is about 150 grams http://ca.ixl.com/math/grade-5 1 2 3 4 5 6 7 8 9 10 11

Full transcript10 or 100

Example: 3/5 can be written as 6/10

23/25 can be written as 92/100 Relating Fractions to Decimals There are 8 cookies and 5 people who want to share them equally.How many cookies does each person get? Relating Fractions to Divisions Question: Nicole went to the Go Karts and drove around the track 3 times. The track was 1.6 km. About how far did Nicole travel? Multiplying Decimals with Tenths Question:

You and 3 friends have 13.6 cm of taffy and want to share equally. How much does each person get? Dividing Decimals with Tenths Money Loonie is $ 1.00 Quarter is $0.25

or 25/100

or 1/4 Dime is $0.10

or 10/100

or 1/10 Nickel is $0.05

or 5/100

or 1/20 Penny is $0.01

or 1/100 Challenge! - Are 2/5 and 0.30 the same?

Show your answer. Answer: Each person gets 1 and 3/5 cookies Answer Using Long Division Answer Using Decimals 1 cookie each

3 cookies left to be divided equally between 5 people. 3/5 = 6/10 = 0.6

and 1 + 0.6 = 1.6 cookies for each person. Answer: Each person gets 1 and 3/5 cookies 1 cookie each

3 cookies left to be divided equally between 5 people. Therefore 3/5 for each person. Answer: Each person gets 1 and 3/5 cookies Method 1:

Using base ten blocks, place 4 groups of 1.6, then replace 20 tenths with 2 ones instead Method 2:

On grid paper, draw 4 groups of 1.6 Method 3:

The old method! Method 1:

Using base ten blocks, place 3 groups of 2.54 on the place-value mat.

Regroup 10 hundredths as 1 tenth.

Regroup 10 tenths as 1 one. Method 2:

Use what you know about multiplying whole numbers

Step 1:

Multiply the numbers WITHOUT the decimal points.

Step 2:

Estimate to place the decimal point in the answer.

Use front-end estimation: 2.54 is approximately 2

3 x 2 = 6, so the decimal point should go after the 7

2.54 x 3 = 7.62 Question: 4 baseballs have a total mass of 575.94

grams. Estimate the mass of 1 baseball. USE BASE TEN BLOCKS

1) Model 13.6

2) Share 13 ones among 4 equal groups

There will be 4 equal groups of 3 with 1 one left over.

3) Trade the 1 one for 10 tenths. There are now 16 tenths.

4) Share the 16 tenths equally

There are 3 ones and 4 tenths in each group.

Each person gets 3.4 cm of taffy.

USE WHAT YOU KNOW ABOUT WHOLE NUMBERS

1) Record the numbers WITHOUT the decimal point.

136/4 Write 13/4 as mixed numbers. Step 2: Now convert these fractions to decimals.

6/10 = Six Tenths = 0.6 = 0.60

92/100 = Ninety-two Hundredths = 0.92 Estimate: 2.39 x 8 2.39 is about 2.5 Possibly use doubles… 2 balls 2 x 2.5 = 5 4 balls 2 x 5 = 10 8 balls 2 x 10 = 20 the mass of the 8 squash balls is approximately 20 grams you could even round the number off to the nearest whole number as well 575.94/4 look for compatible numbers, these are numbers that you can divide mentally. 575.94 is close to 600 600 is 60 tens 60 tens / 4 = 15 tens therefore, the mass of 1 baseball

is about 150 grams http://ca.ixl.com/math/grade-5 1 2 3 4 5 6 7 8 9 10 11