yuctoborian : sevenths

Decimal sevenths

14 28 57Note these numbers

Decimal sevenths

1/7 = 0. 14 28 57

Note these numbers 14 28 57

Decimal sevenths

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

Note these numbers 14 28 57

Decimal sevenths

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

Note these numbers 14 28 57

Decimal sevenths

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

Note these numbers 14 28 57

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

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

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

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

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

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

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

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

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 ...

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 ...

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 ...

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

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

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

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

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

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