3.2A Compose and Decompose Numbers Up To 100,000

Front

What is the standard form of a number?

Back

The standard form of a number is the way of writing numbers using digits, without any additional notation or words. For example, 50,495 is in standard form.

Front

What is expanded notation?

Back

Expanded notation is a way of writing numbers that shows the value of each digit. For example, the number 50,495 can be written in expanded notation as (5 x 10,000) + (0 x 1,000) + (4 x 100) + (9 x 10) + (5 x 1).

Front

How do you decompose the number 53,467?

Back

To decompose the number 53,467, you break it down into its place values: 50,000 + 3,000 + 400 + 60 + 7.

Front

What does it mean to compose a number?

Back

To compose a number means to combine different place values to form a specific number. For example, composing the number 71,446 can be done by adding 70,000 + 1,000 + 400 + 40 + 6.

Front

What is the value of the digit 4 in the number 71,446?

Back

In the number 71,446, the digit 4 is in the hundreds place, so its value is 400.

Front

How can you represent the number 3,464 using base 10 blocks?

Back

The number 3,464 can be represented using base 10 blocks as 3 thousands blocks, 4 hundreds blocks, 6 tens blocks, and 4 ones blocks.

Front

What is the difference between standard form and expanded notation?

Back

Standard form is the way of writing numbers using digits, while expanded notation breaks down the number into the sum of its place values.

Front

How do you write the number 5,500 in expanded notation?

Back

The number 5,500 can be written in expanded notation as (5 x 1,000) + (5 x 100) + (0 x 10) + (0 x 1).

Front

What is the place value of the digit 6 in the number 53,467?

Back

In the number 53,467, the digit 6 is in the tens place, so its place value is 60.

Front

How do you convert expanded notation to standard form?

Back

To convert expanded notation to standard form, you add the values together. For example, (5 x 10,000) + (4 x 100) + (9 x 10) + (5 x 1) equals 50,495.