Question

Write the following numbers in expanded form: \[20068\]

Answer 1

Hint: The question requires us to write the given number in expanded form which can be done by breaking up the numbers according to their place value. The digits on the left have lower place value than the digits on the right. We have to use the \[ + \] sign between the numbers after writing them as per their place value to arrive at the final answer.

Complete step-by-step answer:
The expanded form of a number is a number written as the sum of its digits' position values. Expanded form is not the same as expanded notation when it comes to writing numbers.
A place value is assigned to each number. It calculates the value of that digit based on where it appears in the number. As we switch from left to right, the value of a digit in a number increases. We can use the following place value diagram to arrive at the answer:

Now we can expand \[20068\] as follows:

Thus, expanded form of \[20068\] will be:
\[ = 20000 +0 + 0 +60 + 8\]
\[ = 20000 + 60 + 8\]
So, the correct answer is “\[ = 20000 + 60 + 8\]”.

Note: A number is expressed in expanded notation as the sum of each digit multiplied by its place value, while addition is only used between place value numbers in expanded form. For example:
\[123\] in expanded form will be:
\[123 = 100 + 20 + 3\]
Whereas its expanded notation will be:
\[123 = (1 \times 100) + (2 \times 10) + (3 \times 1)\]
In the expanded forms, we use only addition between the place value numbers and in the expanded notation we use addition and multiplication.