Place Value and Powers of Ten

Front

What is place value?

Back

Place value is the value of a digit based on its position in a number. For example, in the number 345, the digit 3 is in the hundreds place, so its value is 300.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of ten. For example, 300 can be written as 3 x 10^2.

Front

How do you write 7 in scientific notation?

Back

7 can be written as 7 x 10^0.

Front

What is expanded form?

Back

Expanded form is a way of writing numbers that shows the value of each digit. For example, 7,348 in expanded form is (7 x 1,000) + (3 x 100) + (4 x 10) + (8 x 1).

Front

What does 6 x 10^2 equal?

Back

6 x 10^2 equals 600.

Front

How do you express 8 x 10 x 10 x 10 x 10 in exponential form?

Back

8 x 10 x 10 x 10 x 10 can be expressed as 8 x 10^4.

Front

What is 1,000,000 in exponential form?

Back

1,000,000 can be written as 10^6.

Front

What is the value of 3 in the number 3,456?

Back

In the number 3,456, the value of 3 is 3,000 because it is in the thousands place.

Front

What is the purpose of using powers of ten?

Back

Powers of ten are used to simplify the representation of large or small numbers, making them easier to read and work with.

Front

How do you convert 4,500 to scientific notation?

Back

4,500 can be converted to scientific notation as 4.5 x 10^3.