How do you express the number 300 in expanded form?

How do you express the number 300 in expanded form?

• A. 300 = 3 × 100 + 0 × 10 + 0 × 1
• B. 300 = 3 × 10 + 0 × 1
• C. 300 = 300 × 1
• D. 300 = 30 × 10

Answer: (A)

The expanded form of a number is a way of expressing it as a sum of the values of its digits, each multiplied by the place value of that digit. In the case of the number 300, we can break it down as follows: The digit '3' is in the hundreds place, so it represents 3 hundreds, which is expressed as 3 × 100. The digits '0' in the tens and ones places do not contribute any value, but it is important to note their positions. Therefore, we write 0 × 10 for the tens place and 0 × 1 for the ones place. Putting these together, we get the expanded form of 300 as 3 × 100 + 0 × 10 + 0 × 1. This clearly shows the contribution of each digit based on its respective place value, accurately representing the original number.

The expanded form of a number is a way of expressing it as a sum of the values of its digits, each multiplied by the place value of that digit. In the case of the number 300, we can break it down as follows:

The digit '3' is in the hundreds place, so it represents 3 hundreds, which is expressed as 3 × 100. The digits '0' in the tens and ones places do not contribute any value, but it is important to note their positions. Therefore, we write 0 × 10 for the tens place and 0 × 1 for the ones place.

Putting these together, we get the expanded form of 300 as 3 × 100 + 0 × 10 + 0 × 1. This clearly shows the contribution of each digit based on its respective place value, accurately representing the original number.