Which expression correctly represents 872 in expanded notation as a sum of products of each digit and its place value?

Which expression correctly represents 872 in expanded notation as a sum of products of each digit and its place value?

• A. (8x100) + (7x10) + (2x1)
• B. 800 + 70 + 2
• C. 8x10^2 + 7x10 + 2
• D. 872

Answer: (A)

In expanded notation, you break a number into the sum of each digit times its place value. For 872, the 8 is in the hundreds place, so it represents 8×100; the 7 is in the tens place, giving 7×10; the 2 is in the ones place, giving 2×1. Add those parts: 8×100 + 7×10 + 2×1, which equals 800 + 70 + 2 = 872. This form shows exactly how each digit contributes according to its place value, so it’s the correct expanded notation. Other forms either drop the multiplication for the ones place or present the number without showing the separate products.

In expanded notation, you break a number into the sum of each digit times its place value. For 872, the 8 is in the hundreds place, so it represents 8×100; the 7 is in the tens place, giving 7×10; the 2 is in the ones place, giving 2×1. Add those parts: 8×100 + 7×10 + 2×1, which equals 800 + 70 + 2 = 872. This form shows exactly how each digit contributes according to its place value, so it’s the correct expanded notation. Other forms either drop the multiplication for the ones place or present the number without showing the separate products.