Respuesta :

kphung76127
Because all the digits are the same, each digit is worth 10x the one to its right and 1/10 of the one to its left.
This is because we count in base 10. This is also why we can expand this number to become
9*10^6+ 9*10^5+ 9*10^4+ 9*10^3+ 9*10^2+ 9*10^1 +9*10^0.

The relationship between the values of the digits in the number 9,999,999 is that, the value of each digit is 10 times of the value of the left digit and a tenth of the value of the right digit.

Further Explanation  

Place value and total value  

  • Place value refers to the value represented by a digit in a number based of its position in the number. Place values can be ones, tens, hundreds, thousands, etc  

For example;

In the number; 24,621 the place value of the digits in the number are;

Ones -1

Tens - 2

Hundreds - 6

Thousands - 4

Ten Thousands – 2

Total value  

  • Total value is given as the product of the digit and its place value.
  • For example; in the number, 24,621 

Total value of digits 2,4,6,2 and 8 in the number 24,621 will be;

2 x 10,000 = 20,000

4 x 1000    = 4,000

6 x 100      = 600

2 x 10        = 20  

1 x 1          = 1

The sum of the total values of digits in a number will be equivalent to the value of that number.

In the question:

The number is: 9,999,999

The value of the digits from left to right is;

9 × 1,000,000 = 9,000,000

9 × 100,000    = 900,000

9 × 10,000      = 90,000

9 × 1,000        = 9,000

9 × 100           = 900

9 × 10             = 90

9 × 1                = 9

Therefore; comparing the value of the digits in the number 9,999,999 we would say that;

The value of each digit is 10 times of the value of the left digit and a tenth of the value of the right digit.

Keywords: Place value, total value

Learn more about;

  • Types of number form: https://brainly.com/question/4695279
  • Example of place value: https://brainly.com/question/4695279
  • Example of total value: https://brainly.com/question/4695279

Level: Middle school

Subject: Mathematics  

Topic: Place value and total value

Otras preguntas