Expanded form is defined as a number written so that the place value of each digit is represented as part of a sum.

Expanded form is defined as a number written so that the place value of each digit is represented as part of a sum.

• A. A product of each digit and its place value
• B. A sum representing each digit's place value
• C. A decimal fraction
• D. A polynomial expression

Answer: (B)

Expanded form shows a number as a sum of the values contributed by each digit according to its place. In other words, you express how much thousands, hundreds, tens, and ones each digit represents and then add those parts together. This makes the contribution of every digit clear, and the sum equals the original number. For example, 3,402 in expanded form is 3,000 + 400 + 0 + 2, which demonstrates exactly how each digit contributes to the total. The option that says the number is a sum representing each digit’s place value captures this idea. The other descriptions don’t fit: a product would imply multiplying without necessarily summing to get the original number, a decimal fraction introduces a decimal point and fractional parts, and a polynomial expression uses variables and exponents rather than digits with place values.

Expanded form shows a number as a sum of the values contributed by each digit according to its place. In other words, you express how much thousands, hundreds, tens, and ones each digit represents and then add those parts together. This makes the contribution of every digit clear, and the sum equals the original number. For example, 3,402 in expanded form is 3,000 + 400 + 0 + 2, which demonstrates exactly how each digit contributes to the total. The option that says the number is a sum representing each digit’s place value captures this idea. The other descriptions don’t fit: a product would imply multiplying without necessarily summing to get the original number, a decimal fraction introduces a decimal point and fractional parts, and a polynomial expression uses variables and exponents rather than digits with place values.