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Introduction to Egyptian Mathematics 6 th Grade MathPowerPoint Presentation

Introduction to Egyptian Mathematics 6 th Grade Math

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Introduction to Egyptian Mathematics 6 th Grade Math

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Introduction to Egyptian Mathematics6th Grade Math

A different way to look at Mathematics

Ms. Buschbacher

SPRING 2010

Place Value System

- Each time you write a number, the number holds a certain place.
- Millions, Hundred-thousands, Ten-thousands, Thousands, Hundreds, Tens, Ones, Tenths, Hundreds, Thousandths, Ten-thousandths, Hundred-thousandths, Millionths.
- NOTICE: The endings of all the words.
- -nd’s will be BEFORE the decimal point.
- -th’s will be AFTER the decimal point.

- NOTICE: The endings of all the words.

._____

_____

_____

_____

_____

_____

_____

_____

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Ten-Thousands

Place

Tenths

Place

Thousands

Place

Tens

Place

Thousandths

Place

Hundredths

Place

Hundreds

Place

Ten-Thousands

Place

Ones

Place

A number will always have at least on of these places filled in.

Practice figuring out numbers place values.

243.76

- What are the place values of the numbers?
- 2 hundreds
- 4 tens
- 3 ones
- 7 tenths
- 6 hundreds
200 + 40 + 3 + 0.7 +.06 = 243.76

13817.723

- What are the place values of the numbers?
- 1 ten-thousands
- 3 thousands
- 8 hundreds
- 1 ten
- 7 ones
- 7 tenths
- 2 hundreds
- 3 thousands
10,000 + 3,000 + 800 + 10 +7 + 0.7 + 0.02 + 0.003 = 13817.723

The Egyptians used the place value system as well!

Instead of saying thousands, hundreds, and tenths, they used symbols.

The next slides explain what symbols represent what place values!

The number one! place.

- The number one is distinguished by a single stroke

These symbols would also go in the ones place. The are multiple brush strokes to demonstrate 2 ones, 3 ones, and so on.

These symbols as well. They represent 6 ones, 7 ones, 8 ones, and 9 ones.

This number is represents 10. This is a picture of 1 ten. It is a drawing of a hobble for cattle.

A hobble is a device around the legs of cattle to handicap but not completely prevent movement.

The hundreds place is represented by a coil. This is a picture of 1 hundred.

- The coil is a series of connected spirals or concentric rings formed by gathering or winding. The picture is of a coil of rope.

The thousands place is represented by a drawing of a lotus plant. This picture is of 1 thousand.

A lotus plant is an aquatic plant with showy flowers, and the source of lotus seeds used in medicine and desserts.The ten thousandths place is represented by a finger. This symbol represents 1 10,000. Two of these symbols would be 20, 000.

Who’s finger do you think they would model for their number place system?

The hundredth thousandths place is represented by a frog. This is a picture of 1 hundred thousand, or 100,000

Frogs were all over the ancient River Valley Civilizations.

The millionths place in the place value system is represented by a figure of a god with its arms raised above its head. This is a picture of 1 million.

What God or God’s were followed during this time period? Who would the Egyptians choose to represent the millionth place in their number system?

What number is represented by: represented by a figure of a god with its arms raised above its head. This is a picture of 1 million.

REMEMBER:

This is the Ones place value

REMEMBER:

This is the Tens place value

36! represented by a figure of a god with its arms raised above its head. This is a picture of 1 million.

We have:

3 tens

6 ones

30 + 6 = 36

What number is represented by: represented by a figure of a god with its arms raised above its head. This is a picture of 1 million.

51,614! represented by a figure of a god with its arms raised above its head. This is a picture of 1 million.

We have:

5 ten thousands

1 thousand

6 hundreds

1 ten

4 ones

50,000 +1000 +600 +10 +4 = 51,614

Make up a two symbol numbers and trade with the person next to you to see if you can figure out the number!