Expanded notation expresses a number as a product of place values. Which expression is an example for 874?

Expanded notation expresses a number as a product of place values. Which expression is an example for 874?

• A. 874
• B. 8 × 100 + 7 × 10 + 4 × 1
• C. 8 × 10 + 7 × 100 + 4 × 1
• D. 80 × 100 + 7 × 10 + 4 × 1

Answer: (B)

Expanded notation expresses a number as a sum of each digit times its place value. For 874, the 8 is in the hundreds place, so it contributes 8 × 100; the 7 is in the tens place, giving 7 × 10; the 4 is in the ones place, giving 4 × 1. Adding these parts together yields 800 + 70 + 4 = 874. The expression that matches this structure is 8 × 100 + 7 × 10 + 4 × 1. The other options don’t fit because they either present the standard form, or swap place values (for example, 8 × 10 + 7 × 100 + 4 × 1 would compute to 80 + 700 + 4).

Expanded notation expresses a number as a sum of each digit times its place value. For 874, the 8 is in the hundreds place, so it contributes 8 × 100; the 7 is in the tens place, giving 7 × 10; the 4 is in the ones place, giving 4 × 1. Adding these parts together yields 800 + 70 + 4 = 874. The expression that matches this structure is 8 × 100 + 7 × 10 + 4 × 1. The other options don’t fit because they either present the standard form, or swap place values (for example, 8 × 10 + 7 × 100 + 4 × 1 would compute to 80 + 700 + 4).