yuctoborian : sevenths

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Decimal sevenths 14 28 57 Note these numbers

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Page 1: Yuctoborian : Sevenths

Decimal sevenths

14 28 57Note these numbers

Page 2: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57

Note these numbers 14 28 57

Page 3: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57

Note these numbers 14 28 57

Page 4: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57

Note these numbers 14 28 57

Page 5: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

Note these numbers 14 28 57

Page 6: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

Use the same string of numbers to generate the other sevenths.

14 28 57

Page 7: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

2/7 = 0. 285714 285714 285714 285714 285714 ...

Use the same string of numbers to generate the other sevenths.

14 28 57

Page 8: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

2/7 = 0. 285714 285714 285714 285714 285714 ...

3/7 = 0. 428571 428571 428571 428571 428571 ...

14 28 57

Page 9: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

2/7 = 0. 285714 285714 285714 285714 285714 ...

3/7 = 0. 428571 428571 428571 428571 428571 ...

4/7 = 0. 571428 571428 571428 571428 571428 ...

14 28 57

Page 10: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

2/7 = 0. 285714 285714 285714 285714 285714 ...

3/7 = 0. 428571 428571 428571 428571 428571 ...

4/7 = 0. 571428 571428 571428 571428 571428 ...

5/7 = 0. 714285 714285 714285 714285 714285 ...

14 28 57

Page 11: Yuctoborian : Sevenths

Decimal sevenths

1/7 = 0. 14 28 57 14 28 57 14 28 57 14 28 57 ...

2/7 = 0. 285714 285714 285714 285714 285714 ...

3/7 = 0. 428571 428571 428571 428571 428571 ...

4/7 = 0. 571428 571428 571428 571428 571428 ...

5/7 = 0. 714285 714285 714285 714285 714285 ...

6/7 = 0. 857142 857142 857142 857142 857142 ...

14 28 57

Page 12: Yuctoborian : Sevenths

Decimal sevenths

1/7 = ?

To know which digit to use at the start of any seventh, consider how big the fraction should be.

2/7 = ?

3/7 = ?

4/7 = ?

5/7 = ?

6/7 = ?

14 28 57

Page 13: Yuctoborian : Sevenths

Decimal sevenths

Slightly less than half. Therefore sequence starts with a 4.

1/7 = ?

2/7 = ?

3/7 = 0. 4...

4/7 = ?

5/7 = ?

6/7 = ?

To know which digit to use at the start of any seventh, consider how big the fraction should be.

14 28 57

Page 14: Yuctoborian : Sevenths

Decimal sevenths

Slightly more than half. Therefore sequence starts with a 5.

1/7 = ?

2/7 = ?

4/7 = 0. 5...

5/7 = ?

6/7 = ?

To know which digit to use at the start of any seventh, consider how big the fraction should be.

14 28 57

3/7 = 0. 428571 428571 428571 428571 428571 ...

Page 15: Yuctoborian : Sevenths

Decimal sevenths

The highest seventh starts with the highest digit. Sequence must start with an 8.

1/7 = ?

2/7 = ?

5/7 = ?

6/7 = 0. 8...

To know which digit to use at the start of any seventh, consider how big the fraction should be.

14 28 57

4/7 = 0. 571428 571428 571428 571428 571428 ...

3/7 = 0. 428571 428571 428571 428571 428571 ...

Page 16: Yuctoborian : Sevenths

Decimal sevenths

1/7 = ?

2/7 = ?

5/7 = ?

To know which digit to use at the start of any seventh, consider how big the fraction should be.

14 28 57

4/7 = 0. 571428 571428 571428 571428 571428 ...

3/7 = 0. 428571 428571 428571 428571 428571 ...

6/7 = 0. 857142 857142 857142 857142 857142 ...

Page 17: Yuctoborian : Sevenths

Decimal sevenths

For practical use, approximate sevenths to the first 2 digits.

1/7 ~ 0. 14

2/7 ~ 0. 28

3/7 ~ 0. 42

4/7 ~ 0. 57

5/7 ~ 0. 71

6/7 ~ 0. 85

14 28 57

Page 18: Yuctoborian : Sevenths

Decimal sevenths

e.g., 28% of $63

~ 2/7 of $63

= 2 x $9

= $18

(True answer = $17.64)

1/7 ~ 0. 14

2/7 ~ 0. 28

3/7 ~ 0. 42

4/7 ~ 0. 57

5/7 ~ 0. 71

6/7 ~ 0. 85

Page 19: Yuctoborian : Sevenths

Decimal sevenths

e.g., 42% of $35

~ 3/7 of $35

= 3 x $5

= $15

(True answer = $14.70)

1/7 ~ 0. 14

2/7 ~ 0. 28

3/7 ~ 0. 42

4/7 ~ 0. 57

5/7 ~ 0. 71

6/7 ~ 0. 85

Page 20: Yuctoborian : Sevenths

Decimal sevenths

572 ~ (4/7)2 x 1002

= 16/49 x 10,000

~ 32/100 x 10,000

= 3200

(True answer = 3249)

1/7 ~ 0. 14

2/7 ~ 0. 28

3/7 ~ 0. 42

4/7 ~ 0. 57

5/7 ~ 0. 71

6/7 ~ 0. 85

Page 21: Yuctoborian : Sevenths

Decimal sevenths

400 ÷ 7 = 4/7 x 100

= 57.142857...

1/7 ~ 0. 14

2/7 ~ 0. 28

3/7 ~ 0. 42

4/7 ~ 0. 57

5/7 ~ 0. 71

6/7 ~ 0. 85

Page 22: Yuctoborian : Sevenths

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