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Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
Expanded Notation includes another step, where each digit is multiplied by the appropriate place value. For example, 144 in expanded notation would be written as (1 x 100) + (4 x 10) + (4 x 1) = 144.
To write a number in scientific notation, move the decimal point to the right of the first digit in the number. Write the digits as a decimal number between 1 and 10. Count the number of places n that you moved the decimal point. Multiply the decimal number by 10 raised to a power of n.
Writing a number to show the value of each digit. It is shown as a sum of each digit multiplied by its matching place value (ones, tens, hundreds, etc.)
The expanded form of 10,000 is 10000+0+0+0+0. In the number 10,000, there are zero thousand, zero hundred, zero tens and zero ones.
In this example, 3 x 1,000 = 3,000; 0 x 100 =0; 4 x 10 = 40; and 7 x 1 = 7. Your expanded format is correct because 3,000+0+40+7=3,047, which is the standard form of the number.
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
38,000 (thirty-eight thousand) is an even five-digits composite number following 37999 and preceding 38001. In scientific notation, it is written as 3.8 × 104.
Standard Form | Expanded Form | |
---|---|---|
20,37,81,405 | = | 20,00,00,000 + 0 + 30,00,000 + 7,00,000 + 80,000 + 1,000 + 400 + 0 + 5 |
Expanded notation, also called expanded form, is a handy way to write numbers that shows the place value of each digit. It looks like an addition problem and will help you break numbers down and understand their place value.
305 is 3 hundreds, 0 tens, and 5 ones. 305 in expanded form is 300 + 5.
therefore, expanded form of 8835721 is, → 8835721 = 8000000 + 800000 + 30000 + 5000 + 800 + 20 + 1 .
→ 5680219 = 5000000 + 600000 + 80000 + 0 + 200 + 10 + 9 .
What is 352.83 expanded notation? Considering the given value 352.83 we can expand that step by step as, (3 x 100) which will give us a value of 300. Now adding the multiplied answer of (5 x 10) will give us 350. Next we can also add the multiplied answer of (2 x 1 ) which will further give us 352.
100 +00 +0 is your answer.
Number | Number Name | Expansion |
---|---|---|
20000 | Twenty thousand | 2×10000 |
26000 | Twenty six thousand | 2×10000+6 |
38400 | Thirty eight thousand four hundred | 3×10000+8×1000 |
Let’s find the value of 3 in 4389. The digit 3 is placed in hundreds place so its value is 3 × 100 or 300 or three hundreds.
1,001 (one thousand one) is an odd four-digits composite number following 1000 and preceding 1002. In scientific notation, it is written as 1.001 × 103.
To write 0,0045 in scientific notation, we will have to move the decimal point three point to right, which literally means multiplying by 1000=103 . Hence in scientific notation 0.0045=4.5×10−3 (note that as we have moved decimal three point to right we are multiplying by 10−3 .
Some examples: Example 1.3 Write 0.00054 in scientific notation Answer: 5.4 x 10-4 This time you had to count how many places to move the decimal place to the left.
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