### Converting Between Standard and Expanded Form (Place Value up to Millions) – Quiz

Understanding **place value** is a key skill when working with numbers, especially large numbers that go up to millions! One way we can break down big numbers and understand the value of each digit is by writing them in **expanded form**. This post will help you learn how to convert between **standard form** and **expanded form** for numbers up to millions and give you a chance to practice with a quiz.

### What is Place Value?

Every digit in a number has a special position, and that position determines its value. This is called **place value**. In a number like **5,638,214**, each digit has a specific value based on where it is located:

- The
**5**is in the**millions**place, so it represents**5,000,000**. - The
**6**is in the**hundred thousands**place, so it represents**600,000**. - The
**3**is in the**ten thousands**place, so it represents**30,000**. - The
**8**is in the**thousands**place, so it represents**8,000**. - The
**2**is in the**hundreds**place, so it represents**200**. - The
**1**is in the**tens**place, so it represents**10**. - The
**4**is in the**ones**place, so it represents**4**.

### What is Standard Form?

**Standard form** is the regular way we write numbers. For example, if we’re talking about the number **5,638,214**, we write it in standard form like this:

**5,638,214**.

### What is Expanded Form?

**Expanded form** breaks a number down into parts, showing the value of each digit based on its place in the number. It helps us see the place value of each digit clearly.

Let’s take our number **5,638,214** again and break it down into expanded form:

**5,000,000**(the 5 in the millions place)**+ 600,000**(the 6 in the hundred thousands place)**+ 30,000**(the 3 in the ten thousands place)**+ 8,000**(the 8 in the thousands place)**+ 200**(the 2 in the hundreds place)**+ 10**(the 1 in the tens place)**+ 4**(the 4 in the ones place)

So, the expanded form of **5,638,214** is:

**5,000,000 + 600,000 + 30,000 + 8,000 + 200 + 10 + 4**.

### How to Convert from Standard Form to Expanded Form

Let’s go through the steps to convert a number from standard form to expanded form:

**Look at the number**and identify the place value of each digit.**Write the value of each digit**separately, based on its place value.**Add the values together**to create the expanded form.

For example, let’s convert **2,503,716** into expanded form:

**Look at each digit**:- The
**2**is in the millions place. - The
**5**is in the hundred thousands place. - The
**0**is in the ten thousands place. - The
**3**is in the thousands place. - The
**7**is in the hundreds place. - The
**1**is in the tens place. - The
**6**is in the ones place.

- The
**Write the value of each digit**:**2,000,000 + 500,000 + 3,000 + 700 + 10 + 6**.

So, the expanded form of **2,503,716** is:

**2,000,000 + 500,000 + 3,000 + 700 + 10 + 6**.

### How to Convert from Expanded Form to Standard Form

Now let’s do the reverse—convert expanded form back into standard form. This is pretty simple! You just need to add up all the parts.

For example, let’s take this expanded form:

**3,000,000 + 400,000 + 20,000 + 5,000 + 700 + 30 + 9**.

To convert it back to standard form, just add the values together:

**3,000,000 + 400,000 = 3,400,000**.**3,400,000 + 20,000 = 3,420,000**.**3,420,000 + 5,000 = 3,425,000**.**3,425,000 + 700 = 3,425,700**.**3,425,700 + 30 = 3,425,730**.**3,425,730 + 9 = 3,425,739**.

So, the standard form of this number is **3,425,739**.

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