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.
<h2>Further Explanation </h2><h3>Place value and total value </h3>
- 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
<h3>For example;</h3>
In the number; 24,621 the place value of the digits in the number are;
<h3>
Ones -1</h3><h3>
Tens - 2</h3><h3>
Hundreds - 6</h3><h3>
Thousands - 4</h3><h3>
Ten Thousands – 2</h3><h3>Total value </h3>
- 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.
<h3>In the question: </h3>
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.
<h3>Keywords: Place value, total value</h3>
<h3>Learn more about;</h3>
Level: Middle school
Subject: Mathematics
Topic: Place value and total value
