How do we write numbers in standard notation?

65000 is standard notation.

.00034 is standard notation.

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To write numbers in standard notation, we use the familiar system of digits and place values. The key is to understand the place value of each digit within a number.

Here's a step-by-step guide on how to write numbers in standard notation:

1. Identify the digits in the number: Start by identifying each of the digits in the number you want to write in standard notation. For example, let's take the number 3,521.

2. Determine the place value of each digit: Once you have the digits, determine the place value of each digit. The place value refers to the position of a digit within a number and represents its weight or significance. The rightmost digit has a place value of ones, the next digit to the left has a place value of tens, followed by hundreds, thousands, and so on. For our example number 3,521, the place values are as follows:
- 1s place (rightmost digit)
- 10s place
- 100s place
- 1,000s place

3. Multiply each digit by its respective place value: Multiply each digit by its corresponding place value. For example, for our number 3,521:
- The digit '1' in the 1s place is equal to 1 x 1 = 1
- The digit '2' in the 10s place is equal to 2 x 10 = 20
- The digit '5' in the 100s place is equal to 5 x 100 = 500
- The digit '3' in the 1,000s place is equal to 3 x 1,000 = 3,000

4. Add up the results: Add up the results of each multiplication to get the final standard notation. For our example, adding the results gives us:
- 1 + 20 + 500 + 3,000 = 3,521

Therefore, the standard notation of the number 3,521 is 3,521.