Expanded Form Of 17 Tens

Definition of the Expanded Form

In the expanded form. We break up a number according to its place value and aggrandize it to testify the value of each digit. For example, the expanded form of 943 is given.

9 blocks of hundreds 4 blocks of tens 3 blocks of ones

nine hundreds 4 tens three ones expanded Form: 900 + 40 + iii

Place Value

Each number has a place value. It determines the value of that digit according to its position in the number. The value of a digit in a number increases as we move from left to right. The digits on the left have a lower place value than the digits on the right.

The value for each number is computed using the position of the number. Starting from right to left, we tin can understand the notations used in the place value using an example.

For the number 254, the place value chart is:

Thus, the expanded grade of the number 254 is 200 + 50 + iv.

Examples

Let'southward await at the number 875294831 as an example. This figure is tough to grasp. In this case, an expanded form assists u.s. in understanding each of the numbers based on their identify value.

875294831 can be written as 800000000 + 70000000 + 5000000 + 200000 + 90000 + 4000 + 800 + 30 + ane

The number has been expanded to reflect the value of each of its digits.

How to Observe an Expanded Form?

Here are the steps to write a number in expanded class.

Get the number in its virtually basic form.
Using the place value chart, determine its identify values.
Multiply the number past the number's place value.
Display it as a digit identify value.
All digits should be represented every bit the product of the digit and its place value.

Expanded Class with Decimals

The expanded grade of a number with a decimal or a fraction is written with a base of operations 10-multiple denominator, represented by the ability of 10.

For example, the number three.482 in expanded form is written as:

three.482 = 3 + 0.iv + 0.08 + 0.002

How to Write in an Expanded Class?

Suppose we want to expand 1.234. First, nosotros have 1 place i.e. 1.

Next we accept the start decimal place, the tenths.

We take 2 and multiply it by fraction $\frac{1}{ten}$.

1+(ii $\times \frac{1}{ten}$)

And then, we have the hundredth place. Nosotros move to a higher multiple of ten for the denominator. In other words, we add some other 0.
1+(two $\times \frac{1}{10}$) + (iii $\times \frac{i}{100}$)

Finally, nosotros have the thousandth place. Add another 0 in the denominator.

1+(2 $\times \frac{1}{10}$) + (3 $\times \frac{1}{100}$) + (4 $\times \frac{1}{1000}$)

Hence, the expanded form of one.234 is 1+0.2+0.03+0.004.

Solved Examples:

Write 589 in its expanded form.

The expanded form of 589 would be 500 + 80 + 9.

Write 9677 in its expanded form.

The expanded form of 9677 would be 9000 + 600 + 70 + seven.

Write 23.782 in its expanded course.

The expanded form of 23 would be 20 + 3 + 0.seven + 0.08 + 0.002

Exercise Problems

Expanded Form

Attend this Quiz & Exam your knowledge.

$chiliad + lxxx$

$thou + 100 + lxxx$

$thousand + 0 + 8$

$1000 + 0 + lxxx + 0$

Correct answer is: $1000 + 0 + 80 + 0$
The expanded grade for $1080 = 1000 + 0 + 80 + 0$

$7 + seven$

$77 + 77$

$seventy + seven$

$lxx + 70$

Right respond is: $70 + vii$
The expanded form for $77 = seventy + 7$

$500 + 67 + 0.25$

$500 + threescore + seven + 0.two + 0.05$

$560 + seven + 0.25$

$500 + 70 + 6 + 0.ii + 0.05$

Right respond is: $500 + 60 + 7 + 0.ii + 0.05$
The expanded class for $567 = 500 + 60 + 7 + 0.2 + 0.05$

Conclusion

Expanded form is nothing but a technique to rewrite a number by including the values of the digits. Given higher up was everything you needed to know about expanded course. Students can learn well-nigh expanded course by solving more and more issues. Luckily, SplashLearn is a platform created for students to make their academic journeying worthwhile, easy, and fun. Caput over to SplashLearn to know more.

Frequently Asked Questions

What is the significance of expanded form?

Expanded form is important in maths considering information technology allows united states of america to wait at a number and identify the value of each digit.

What does writing in expanded grade imply?

When nosotros expand a number to illustrate each digit'due south value, nosotros write it in expanded form.. With extended course, we represent the numerical value of each digit in the number we're writing. Except for zeroes, the larger the number is, the longer its expanded form will be when it is expanded.

Are expanded grade and expanded notation the same?

No, expanded notation is recognized every bit a number that represents the sum of every digit in a item number further multiplied by its respective place value.

Example of expanded form of 234 = 200 + 30 + 4 Example of expanded annotation of 234 is 2 $\times$ 100 + 3 $\times$ 10 + 4 $\times$ i