The value of 3 in 6300 is ten times the value of 3 in 530 and the value of 4 in 47,163 is ten times the value of 4 in 34,258.
<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
For example;
In the number; 13,548, the place value of the digits in the number are;
Ones -8
Tens - 4
Hundreds - 5
Thousands - 3
Ten Thousands – 1
<h3>Total value </h3>
- Total value is given as the product of the digit and its place value.
- For example; in the number, 13,548.
- Total value of digits 1, 3, 5, 4, and 8 in the number 13,548 will be;
1 x 10,000 = 10,000
3 x 1000 = 3,000
5 x 100 = 500
4 x 10 = 40
8 x 1 = 8
- 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><h3>Question 9 </h3>
6,300 and 530
The value of 3 in 6,300 is 300 and
The value of 3 in 530 is 30
Therefore; the value of 3 in 6300 is ten times the value of 3 in 530
<h3>Question 11
</h3>
34,258 and 47,163
The value of 4 in 34,258 is 4,000 and
The value of 4 in 47,163 is 40,000.
Therefore;
The value of 4 in 47,163 is ten times the value of 4 in 34,258.
<h3>Keywords: Place value, total value
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Level: Middle school
Subject: Mathematics
Topic: Place value and total value