TAKE OUT A CALCULATOR Number Systems Repeating Decimals Terminating Decimals Fraction to a Decimal Decimal to a Fraction TAKE OUT A CALCULATOR

For Learning To Happen: Take out a calculator. Remove all other thoughts from your mind. Pay close attention to this lesson. Try all of the examples. Ignore all other distractions.

Number Systems Natural Numbers - Whole Numbers - Integers - Natural counting numbers. 1, 2, 3, 4 … Whole Numbers - Natural counting numbers and zero. 0, 1, 2, 3 … Integers - Whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3 … Rational Numbers - Integers, fractions, and decimals. Ex:

Number Systems Rational Numbers Any number that can be written as a fraction. Fractions/Decimals Integers Negative Integers Wholes Naturals Zero

Number Systems Venn Diagram Rationals Integers Wholes Naturals

Number Systems Rational numbers that can be written as decimals are described as either REPEATING DECIMALS or TERMINATING DECIMALS.

Decimals Terminating Decimal Repeating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide. Repeating Decimal Is a decimal that shows a pattern of repeating digits.

What type of decimal is this? Decimals What type of decimal is this? 0.6 0.46464= 46 0.75 0.3842 0.3333 = 3 Terminating Repeating

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value Decimals are read as “and” 8 4 3 1 8 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 843 and 18 hundredths

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value 4 2 3 8 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 4 and 238 thousandths

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value 2 9 0 1 3 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 29 and 13 thousandths

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value 0 0 0 0 1 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 1 ten thousandths

How do we say this decimal? Decimal Place Value How do we say this decimal? 0.6 Six Tenths It is written as the fraction 6/10

How do we say this decimal? Decimal Place Value How do we say this decimal? 0.3 Three Tenths It is written as the fraction 3/10

How do we say this decimal? Decimal Place Value How do we say this decimal? 0.52 Fifty Two Hundredths It is written as the fraction 52/100

How do we say this decimal? Decimal Place Value How do we say this decimal? 0.31 Thirty One Hundredths It is written as the fraction 31/100

How do we say this decimal? Decimal Place Value How do we say this decimal? 0.410 Four Hundred and Thousandths It is written as the fraction 410/1000

How do we say this decimal? Decimal Place Value How do we say this decimal? 0.381 Three Hundred and Eighty One Thousandths It is written as the fraction 381/1000

Decimals to Fractions To Change a Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction. 0.2 Two tenths

Change these Decimals to Fractions REDUCE you answer if possible 0.50 0.8 0.003 0.79 0.3331

Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 8 4 5 4 4 0 5

Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 7 5 3 4 3 2 8 4 2 20

Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 3 3 1 3 1 9 3 1 9 1

Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 6 3 5 3 3 0 5

Fraction to Decimals Fraction Decimal Say it correctly!

Fraction to Decimals Fraction Decimal

Fraction to Decimals Fraction Decimal

Repeating Decimals Fraction Decimal

Repeating Decimals Fraction Decimal

Repeating Decimals Fraction Decimal

Repeating Decimals Fraction Decimal

REMEMBER: To Always Show Your Work Repeating Decimals REMEMBER: To Always Show Your Work Take out your Study Guide!!!

Decimals #1 Terminating Decimal Repeating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide. Repeating Decimal Is a decimal that shows a pattern of repeating digits.

___ , ___ ___ ___ ___ ___ ___ ___ Decimal Place Value #2 Decimals are read as “and” 2 4 3 1 6 ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 243 and 16 hundredths copyright©amberpasillas2010

#3 DECIMAL TO A FRACTION To Change A Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction. 0.2 Two tenths

FRACTION TO A DECIMAL #4 To Change Fraction To a Decimal: Divide the numerator by the denominator. . 7 5 3 4 3 4 2 8 2 20