1.25k likes | 1.26k Views
Learn about scientific notation and standard form for writing numbers as a product of two factors and place value in this educational resource.
E N D
Show Me With The Money Presented by A. Dávila, Ed.D.
Scientific Notation andStandard Form Created by Dr. A. Dávila
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 Scientific Notation: a way of writing a number as a product of two factors x
The first factor has exactly one nonzero digit to the left of the decimal point (less then 10 but greater than 1) Scientific Notation: a way of writing a number as a product of two factors The second factor is a power of ten 10 x
Ones 1 The ones is the starting point (no powers of ten) 0 10
multiply by 10 The value increases 10 times more than the previous value.
Tens 10
Tens 10 from the ones place to the tens place (10 times more) 1 x 10
Tens 10 1 x 10 1 10 One power of ten
Various methods of representing the Tens Place Tens 10 1 10
multiply by 10 The value increases 10 times more than the previous value.
Hundreds 100
Hundreds from the tens to the hundreds place (10 times more) 100 10 x 10
Hundreds 100 10 x 10 2 10 two powers of ten
Various methods of representing the Hundreds Place Hundreds 100 2 10
multiply by 10 As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value.
Thousands 1,000
Thousands 1,000 from the hundreds to the thousands place (10 times more) 10 0 x 10
Thousands 1,000 10 0 x 10 10 x 10 x 10
Thousands 1,000 10 0 x 10 10 x 10 x 10 3 10 three powers of ten
Various methods of representing the Thousands Place Thousands 1,000 3 10
multiply by 10 As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value.
Ten-thousands 10,000
Ten-thousands 10,000 1000 x 10 from the thousand to the ten thousands place (10 times more)
Ten-thousands 10,000 1000 x 10 100 x 10 x 10
Ten-thousands 10,000 1000 x 10 100 x 10 x 10 10 x 10 x 10 x 10
Ten-thousands 10,000 1000 x 10 100 x 10 x 10 10 x 10 x 10 x 10 10 4 four powers of ten
Various methods of representing the Ten-thousands Place Ten-thousands 10,000 10 4
multiply by 10 As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value.
One Hundred Thousands 100,000
One Hundred Thousands 100,000 from the ten thousands to the hundredsthousands place (10 times more) 10000 x 10
One Hundred Thousands 100,000 10000 x 10 1000 x 10 x 10
One Hundred Thousands 100,000 10000 x 10 1000 x 10 x 10 100 x 10 x 10 x 10
One Hundred Thousands 100,000 10000 x 10 1000 x 10 x 10 100 x 10 x 10 x 10 10 x 10 x 10 x 10 x 10
One Hundred Thousands 100,000 10000 x 10 1000 x 10 x 10 100 x 10 x 10 x 10 10 x 10 x 10 x 10 x 10 10 5 five powers of ten
Various methods of representing the One Hundreds Thousands place One Hundred Thousands 100,000 10 5
W H O L E N U M B E R S 0 1 10 10
W H O L E N U M B E R S 0 2 1 10 10 10
W H O L E N U M B E R S 0 3 2 1 10 10 10 10
W H O L E N U M B E R S 0 4 3 2 1 10 10 10 10 10
Powers of 10 for Whole Numbers 0 4 3 2 1 10 5 10 10 10 10 10
Decimal Fraction: a fraction in which the denominator is some power of ten
divide by 10 As you move to the left on the place value chart the value decreases 10 times.
This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.