Define Expanded Form

Expanded Form is a method to break up a number to illustrate how much each digit in the number represents and in other words, expanded form is the method of pulling a number separately and expressing it as a sum of the values of every digit. In this article we study about expand form define of and develop the knowldge of the math .

Example on Define Expanded Form

Choose the expanded form of the number 15,793.

Solution:

The expanded form of the number 15,793 can be found using a place value chart.

Now, let’s aim to write the number in words and define how it helps us identify the expanded form.

The number 15,793 is read as: 15 thousands 7 hundreds 93 which is the same as 1 ten thousand  5 thousands 7 hundreds 9 tens and 3 ones.

So, the expanded form of 15,793 is 10,000 + 5,000 + 700 + 90 + 3.

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Example to Define Expand Form Math:

Example 1:

57  can be expand as 57 = 50 + 7.

226 can be expand as 296 = 200 + 20 + 6.

5467 can be expand as 5467 = 5000 + 400 + 60+7.

89192 can be expand as 89192 = 80000 + 9000 + 100+90+2

Example 2:

What will we get when we expand form 23,368?

Choices:
A. 2 ten thousands, 3 thousands, 3 hundreds, 6 tens, and 8 ones
B. 2 ten thousands, 3 thousands, 6 hundreds, 6 tens, and 7 ones
C. 5 thousands, 5 ten thousands, 6 hundreds, 6 tens, and 8 ones
D. 5 thousands, 8 hundreds, 3 tens, and 68 ones

Correct Answer: A

Solution:

Step 1: 23,368 = 20,000 + 3,000 + 300 + 60 + 8
Step 2: = (2 × 10,000) + (3 × 1,000) + (3 × 100) + (6 × 10) + (8 × 1)
Step 3: So, when we expand 23,368, we will get ‘2 ten thousands, 3 thousands, 3 hundreds, 6 tens, and 8 ones’.

Example 3:

What will we get when we expand form 13,369?

Choices:
A. 1 ten thousands, 3 thousands, 3 hundreds, 6 tens, and 9 ones
B. 2 ten thousands, 3 thousands, 3 hundreds, 6 tens, and 5 ones
C. 3 thousands, 7 ten thousands, 9 hundreds, 6 tens, and 9 ones
D. 4 thousands, 7 hundreds, 9 tens, and 68 ones

Correct Answer: A

Solution:

Step 1: 13,369 = 10,000 + 3,000 + 300 + 60 + 9
Step 2: = (1 × 10,000) + (3× 1,000) + (3 × 100) + (6 × 10) + (9 × 1)
Step 3: So, when we expand 13,368, we will get ‘1 ten thousands, 3 thousands, 3 hundreds, 6 tens, and 9 ones’.