Place Value

Front

What is place value?

Back

Place value is the value of a digit based on its position within a number. Each position represents a different power of ten.

Front

What is the expanded form of a number?

Back

The expanded form of a number is a way of writing the number as the sum of the values of its digits. For example, 548,432 = 500,000 + 40,000 + 8,000 + 400 + 30 + 2.

Front

How do you convert a number from standard form to expanded form?

Back

To convert a number from standard form to expanded form, break down the number into the sum of each digit multiplied by its place value.

Front

What is standard form?

Back

Standard form is the way of writing numbers using digits, where each digit has a specific place value.

Front

How do you identify the place value of a digit in a number?

Back

To identify the place value of a digit, look at its position in the number. For example, in 582, the 5 is in the hundreds place, the 8 is in the tens place, and the 2 is in the ones place.

Front

What is the place value of the digit 6 in the number 21,656?

Back

In the number 21,656, the digit 6 is in the hundreds place, so its place value is 600.

Front

How do you write a number in expanded form if it has zeros?

Back

When writing a number in expanded form that has zeros, you only include the non-zero digits and their corresponding place values. For example, 102 = 100 + 2.

Front

What is the value of the digit 4 in the number 4,126?

Back

In the number 4,126, the digit 4 is in the thousands place, so its value is 4,000.

Front

How do you write the number 600 + 40 + 2 in standard form?

Back

The number 600 + 40 + 2 in standard form is 642.

Front

What is the significance of the digit's position in a number?

Back

The position of a digit in a number determines its value, which is based on powers of ten.