Question

Jaya forgets how to write numbers in expanded form. Explain the steps to her using the number 13.652 as an example, and then write 13.652 in expanded form.

Answer 1

To write the number 13.652 in expanded form, break it down into each digit's place value. The expanded form is (1 x 10) + (3 x 1) + (6 x 0.1) + (5 x 0.01) + (2 x 0.001).

Step-by-step explanation:

To write numbers in expanded form, you need to break down the number into each digit's place value and express each as an addition statement. For the number 13.652, this is how it can be done step by step:

1. Identify the place value for each digit.
2. Write each digit multiplied by its place value.
3. Combine these into an addition statement that equals the original number.

For example, the expanded form of 13.652 would be:

10 + 3 + 0.6 + 0.05 + 0.002.

Written in a more detailed expanded form, this is:

(1 × 10) + (3 × 1) + (6 × 0.1) + (5 × 0.01) + (2 × 0.001)

Answer 2

In the expanded form the digits of the number are split into each of the individual digits with their place value and written in expanded form. The example of standard form of a number is 4,982 and the same number can be written in expanded form as 4 × 1000 + 9 × 100 + 8 × 10 + 2 × 1 = 4000 + 900 + 80 + 2.