A number written in expanded form is written as the sum of each of its place values.
<h3>Further Explanation
</h3><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>Number forms </h3><h3>Standard form </h3>
- Standard form of a number is written in number form.
- For example; 13,548 is in standard form or as a standard notation.
<h3>Unit form </h3>
- This involves writing number using place value units.
For example: in 13,548,
Ten Thousands – 1
Thousands - 3
Hundreds - 5
Tens - 4
Ones -8
- Hence, the Unit form 13,548 is 1 Ten thousand, 3 thousands, 5 hundreds, 4 tens and 8 ones
<h3>Word form </h3>
- Word form of a number is stated from the unit form.
- In our example the word form will be; Thirteen thousands, five hundred and forty eight.
<h3>Expanded form </h3>
- Expanded form involves writing numbers by presenting the value of each digit in the number.
- Expanded form of a number is equivalent to the sum of the value of each digit in the number.
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
Therefore; the expanded form is;
13,548 = (1 x 10,000) + (3 x 1,000) + (5 x 100) + (4 x 10) + (8 x 1)
Keywords: Place value, total value
, types of number form, expanded form, unit form, word form, standard form,
<h3>Learn more about;
</h3>
Level: Middle school
Subject: Mathematics
Topic: Place value and total value