Show Me With The Money Presented by A. Dávila, Ed.D.

Scientific Notation and Standard Form Created by Dr. A. Dávila

Scientific Notation: a way of writing a number as a product of two factors x

Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point x

Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point (less then 10 but greater than 1) The second factor is a power of ten x 10

Place Value Review

The value increases 10 times more than the previous value.

10 0 Ones 1 The ones is the starting point (no powers of ten)

The value increases 10 times more than the previous value. multiply by 10

Tens 10

Tens 10 1 x 10 from the ones place to the tens place (10 times more)

Tens x 10 One power of ten

Tens 10 1 Various methods of representing the Tens Place

The value increases 10 times more than the previous value. multiply by 10

Hundreds 100

Hundreds 10 x from the tens to the hundreds place (10 times more)

x Hundreds two powers of ten

Hundreds Various methods of representing the Hundreds Place

As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value. multiply by 10

1,000 Thousands

10 0 x 10 1,000 Thousands from the hundreds to the thousands place (10 times more)

10 0 x 10 1, x 10 x 10 Thousands

x 10 1, x 10 x 10 Thousands three powers of ten

10 3 1,000 Thousands Various methods of representing the Thousands Place

As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value. multiply by 10

Ten-thousands 10,000

Ten-thousands 1000 x 10 10,000 from the thousand to the ten thousands place (10 times more)

Ten-thousands 1000 x 10 10, x 10 x 10

Ten-thousands 1000 x 10 10, x 10 x x 10 x 10 x 10

Ten-thousands x 10 10, x 10 x x 10 x 10 x 10 four powers of ten

Ten-thousands ,000 Various methods of representing the Ten-thousands Place

As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value. multiply by 10

100,000 One Hundred Thousands

100,000 One Hundred Thousands x 10 from the ten thousands to the hundreds thousands place (10 times more)

100,000 One Hundred Thousands 1000 x 10 x x 10

100,000 One Hundred Thousands 100 x 10 x 10 x x 10 x x 10

10 x 10 x 10 x 10 x ,000 One Hundred Thousands 100 x 10 x 10 x x 10 x x 10

x 10 x 10 x 10 x ,000 One Hundred Thousands 100 x 10 x 10 x x 10 x x 10 five powers of ten

,000 One Hundred Thousands Various methods of representing the One Hundreds Thousands place

W H O L E N U M B E R S 10 0

W H O L E N U M B E R S

W H O L E N U M B E R S

W H O L E N U M B E R S

W H O L E N U M B E R S

Powers of 10 for Whole Numbers

Powers of 10 for Decimal Places/Fractional Parts

Decimal Fraction: a fraction in which the denominator is some power of ten

As you move to the left on the place value chart the value decreases 10 times. divide by 10

This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.

0.1 Tenths

0.1 1 ÷ 10 Tenths from the ones to the tenths place (10 times less)

÷ 10 Tenths 1 x

÷ 10 Tenths 1 x 10 1 The denominator is power of ten

÷ 10 Tenths 1 x 10 1 one power of ten (denominator)

Tenths Various methods of representing one-tenth 10 1

This is one-hundredths. If we relate it to the USA monetary, it has a value of 1¢.

The value decreases 10 times. divide by 10

Hundredths 0.01

÷ Hundredths 0.01 from the tenths to the hundredths place (10 times less)

10 ÷ x Hundredths 0.01

÷ x Hundredths 0.01 two powers of ten (denominator)

÷ x Hundredths 0.01

Hundredths

As you move to the left on the place value chart the value decreases 10 times. divide by 10

This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.

0.001 Thousandths

0.001 ÷ Thousandths from the hundredths to the thousandths place (10 times less)

÷ x Thousandths

÷ x 10 x x Thousandths

÷ x 10 x x Thousandths three powers of ten (denominator)

÷ x Thousandths

Thousandths

FRACTIONALFRACTIONAL PARTS 10 -3

FRACTIONALFRACTIONAL PARTS

FRACTIONALFRACTIONAL PARTS

Write in standard form 2 x 10 5

Write in standard form 2 x

Write in standard form 2 x x

Write in standard form 2 2 x x

Write in standard form 20 2 x x

Write in standard form x x

Write in standard form x x

Write in standard form x x

Write in standard form x x

Write in standard form 3.1 x 10 4

Write in standard form 3.1 x

Write in standard form 3.1 x x

Write in standard form x x 10000

Write in standard form x x 10000

Write in standard form x x 10000

Write in standard form x x 10000

Write in standard form x x 10000

Write in standard form 7.05 x 10 -3

Write in standard form 7.05 x

Write in standard form 7.05 x x _ 1 _

Write in standard form x x 1000 _ 1 _ 10 -3

Write in standard form x x 1000 _ 1 _ 10 -3

Write in standard form x x 1000 _ 1 _ 10 -3

Write in standard form x x 1000 _ 1 _ 10 -3

Write in scientific form 5,200,000

Scientific Notation: a way of writing a number as a product of two factors x

Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point x

Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point The second factor is the necessary power of ten x 10

Write in scientific form A number greater than or equal to one

Write in scientific form x 10 Power of 10 A number greater than or equal to one

Write in scientific form x 10 Power of 10 A number greater than or equal to one Exponent

Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent

Write in scientific form x 10 Power of 10 A number greater than or equal to one Exponent 5.2

Write in scientific form x 10 Power of 10 A number greater than or equal to one Exponent 5.2 5

Write in scientific form

x 10 Power of 10 A number greater than or Equal to one Exponent

Ten Thousandths 10 -4

Ten Thousandths Write in scientific form A number greater than or Equal to one

Ten Thousandths Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent 1.6

Ten Thousandths Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent

Write in scientific form

x 10 Power of 10 A number greater than or Equal to one Exponent

Write in scientific form A number greater than or Equal to one

Write in scientific form A number greater than or Equal to one Ten Thousandths

Write in scientific form A number greater than or Equal to one Ten Thousandths

Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent Ten Thousandths 2.16

Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent Ten Thousandths