Equivalent Fractions and Decimals

Course 1 – 6th Grade

Do Now

What is the place value

of 3 in 654.213?

Definition

place val·uenoun

the numerical value that a digit has by virtue of its position in a number

What is the place value

of 7 in 43.7915?

What is 234 ÷ 15?

What is 145 ÷ 3?

Lesson

Option 1:Unencumbered by superfluous foliage in autumn, the tree branches stood stark and tall against the sky.

Option 2:Free of extra leaves in fall, all the tree branches are visible.

0 1

Definition

e·quiv·a·lentadjective

having the same value; equal or interchangeable in value, quantity, significance, etc.

Fractions to Decimals

STEPS:

1) Read fraction

2) Set up division problem

3) Add 0’s to thousandths place

4) Solve

Example: 1/5

Definition

terminating decimalnoun

a decimal number that ends

Fractions to Decimals

STEPS:

1) Read fraction

2) Set up division problem

3) Add 0’s to thousandths place

4) Solve

Example: 1/3

Fractions to Decimals

STEPS:1) Read fraction2) Set up division problem3) Add 0’s to thousandths place4) Solve

5) If repeating, continue at

least to ten thousandths

place

6) Write a line over the portion of the

number after the decimal

that repeats

Example: 1/3

Fractions to Decimals

STEPS:1) Read fraction2) Set up division problem3) Add 0’s to thousandths place4) Solve

5) If repeating, continue at

least to ten thousandths

place

6) Write a line over the portion of the

number after the decimal

that repeats

Example: 1/6

Fractions to Decimals

STEPS:1) Read fraction2) Set up division problem3) Add 0’s to thousandths place4) Solve

5) If repeating, continue at

least to ten thousandths

place

6) Write a line over the portion of the

number after the decimal

that repeats

Example: 9/11

Definition

repeating decimalnoun

a rational number in decimal form in which a group of one or more digits (where all digits are not zero) repeat infinitely

Mental Math…that means pencils down!!!

1) 4/10

2) 2/5

Decimals to Fractions

STEPS:

1) Say decimal in words

2) Circle the last digit in the lowest place value

3) Place the entire decimal

over the place value

4) Simplify

Example: .18

Decimals to Fractions

STEPS:

1) Say decimal in words

2) Circle the last digit in the lowest place

value

3) Place the entire decimal

over the place value

4) Simplify

Example: .036

Decimals to Fractions

STEPS:

1) Say decimal in words

2) Circle the last digit in the lowest place value

3) Place the entire decimal

over the place value

4) Simplify

Example: -3.13

So which is better?

Are Fractions better than Decimals?

Are Decimals better than Fractions ?

Group A

1)

Group B

1) .33(.33)

Fraction/Decimal FACE-OFF

Group A

1)

Group B

1) .25 + .02

Fraction/Decimal FACE-OFF

Group A

1)

Group B

1)

Fraction/Decimal FACE-OFF