Mammoth Memory

Number Bases

Number bases – Are a table built on multiples of the chosen base number. Start with the number 1 and multiply 1 by the chosen base number and keep multiplying by the base. Work right to left not left to right.

Bass guitar amplifier and speakers number bases start with one bass (base) guitar

The bass (base) must be multiplied to hear it. You start with one bass (one base) guitar.

 

Example 1

Write the sequence of headings for base 10.

Example 1 write the sequence of headings for base 10, base 10 start with number 1 on the right hand side

Start by writing the number 1 down on the right hand side

Example 1 base 10 multiply 1 by 10 to get the next heading number in the base sequence for base 10

Multiply one by 10 to get the next heading number

Example 1 base 10 keep multiplying by 10 to expand the sequence for base 10

And keep multiplying by 10.

The sequence for headings of base 10 is:

Example 1 the sequence for headings of base 10 is: 1000, 100, 10, 1

 

Example 2

Base 2

Example 2 write the sequence of headings for base 2, base 2 start with number 1 on the right hand side

Start by writing the number 1 down on the right hand side

Example 2 base 2 multiply 1 by 2 to get the next heading number in the base sequence for base 2

Multiply one by 2 to get the next heading number.

Example 2 base 2 keep multiplying by 2 to expand the sequence for base 2

And keep multiplying by 2.

The sequence for headings of base 2 is:

Example 2 the sequence for headings of base 2 is: 16, 8, 4, 2, 1

 

 

Example 3

Base 8

Example 3 write the sequence of headings for base 8, base 8 start with number 1 on the right hand side

Start by writing the number 1 down on the right hand side

Example 3 base 8 multiply 1 by 8 to get the next heading number in the base sequence for base 8

Multiply one by 8 to get the next heading number.

Example 3 base 8 multiply 1 by 8 to get the next heading number in the base sequence for base 8

And keep multiplying by 8.

The sequence for headings of base 8 is:

Example 3 the sequence for headings of base 8 is: 512, 64, 8, 1

 

Example 4

Base 5

Example 4 write the sequence of headings for base 5, base 5 start with number 1 on the right hand side

Start by writing the number 1 down on the right hand side

Example 4 base 5 multiply 1 by 5 to get the next heading number in the base sequence for base 5

Multiply one by 5 to get the next heading number.

Example 4 base 5 keep multiplying by 5 to expand the sequence for base 5

And keep multiplying by 5.

The sequence for headings of base 5 is:

Example 4 the sequence for headings of base 5 is: 125, 25, 5, 1

 

Writing numbers in different bases

Example

Write 18 in each base 10, 2, 8 and 5

 

Base 10

1000

100

10

1

   

1

8

This means 1 ten and 8 ones = 18

Answer: 18 in base 10 is 18

 

Base 2

16

8

4

2

1

1

0

0

1

0

 

This means 1 sixteen, no 8’s, no 4’s, 1 two and no 1’s = 18

Answer: 18 in base 2 is 10010

 

Base 8

512

64

8

1

   

2

2

This means 2 eights and 2 ones = 18

Answer: 18 in base 8 = 22

 

Base 5

125

25

5

1

   

3

3

This means 3 fives and 3 number ones = 18

Answer: 18 in base 5 = 33

 

 

 

 

 

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