What term describes the value of a digit based on its position in a number?

What term describes the value of a digit based on its position in a number?

• A. Whole Number
• B. Place Value
• C. Difference
• D. Product

Answer: (B)

The value of a digit depends on where it sits in a number. In base-10, each position represents a power of ten, so moving a digit one place to the left multiplies its value by ten, and moving it right divides by ten. For example, in 3,274 the 3 is in the thousands place, so it represents 3,000; the 2 is in the hundreds place, representing 200; the 7 is in the tens place, representing 70; and the 4 is in the ones place, representing 4. This shifting value by position is called place value. The other terms describe different ideas: a whole number is a nonnegative integer, a difference is what you get when you subtract, and a product is the result of multiplication.

The value of a digit depends on where it sits in a number. In base-10, each position represents a power of ten, so moving a digit one place to the left multiplies its value by ten, and moving it right divides by ten. For example, in 3,274 the 3 is in the thousands place, so it represents 3,000; the 2 is in the hundreds place, representing 200; the 7 is in the tens place, representing 70; and the 4 is in the ones place, representing 4. This shifting value by position is called place value. The other terms describe different ideas: a whole number is a nonnegative integer, a difference is what you get when you subtract, and a product is the result of multiplication.