Content

• Steps
• Method 1 of 4: from the extended view to the standard view.
• Method 2 of 4: Standardizing a Written Number
• Method 3 of 4: British Standard Form (Scientific Notation)
• Method 4 of 4: Standard Complex Form

Standard View includes several number formats. You can choose the method of writing the number in the standard form, depending on which format you need.

Steps

Method 1 of 4: from the extended view to the standard view.

1. 1 Look at the problem. A number written in standard form will look like an addition action. Each value will be written separately, all values ​​are taken with a plus sign.
   • Example: Write the following number in standard form: 3000 + 500 + 20 + 9 + 0.8 + 0.01
2. 2 Add up these numbers. A number in expanded form looks like an addition action. An easy way to convert it to standard form is to simply add the terms.
   • In fact, you need to remove all zeros and put the following terms in order in their place.
   • Example: 3000 + 500 + 20 + 9 + 0.8 + 0.01 = 3529.81
3. 3 Write your final answer. Format as follows: write the number in expanded form, then the "equal" sign and the final answer (number in standard form).
   • Example: This number in standard form - 3529.81

Method 2 of 4: Standardizing a Written Number

1. 1 Look at the problem. The number should be written not in numbers, but in letters, that is, in the form of a word.
   • Example:Write “seven thousand nine hundred forty three and two tenths” in standard form.
     • The value "seven thousand nine hundred forty three and two tenths" must be converted from written to numerical format, that is, write this number in digits, and then bring it to the standard form.
2. 2 Write each word numerically. Look at each individual value written in letters. Write down the numerical value of each digit in the original problem. Notice the minus or plus sign.
   • When you finish this step, you should have expanded numbers.
   • Example: seven thousand nine hundred forty three and two tenths
     • Separate these values ​​from each other: seven thousand / nine hundred / forty / three / two tenths
     • Write each value numerically:
     • Seven thousand: 7000
     • Nine hundred: 900
     • Forty: 40
     • Three: 3
     • Two tenths: 0.2
     • Combine all numerical values ​​and convert to extended form: 7000 + 900 + 40 + 3 + 0.2
3. 3 Add up these numbers. Convert a number from extended format to standard format by adding all the terms together.
   • Example: 7000 + 900 + 40 + 3 + 0.2 = 7943.2
4. 4 Write your final answer. Write the number in writing, then the equal sign and the converted number.
   • Example:The standard form of the original number is: 7943.2

Method 3 of 4: British Standard Form (Scientific Notation)

1. 1 Look at the number. While this is not always the case, most numbers must be written in British standard form (very large or very small). The number must already be included in the numeric expression.
   • Note that this kind is referred to as the “standard form” by native British English speakers. In the United States, this number form is called scientific designation.
   • The general purpose of this number form is to abbreviate too small or very large numbers. Basically, you can convert any number that has more than one character to this format.
   • Example A:Write the following value in standard form: 8230000000000
   • Example B: Write the following value in standard form: 0.0000000000000046
2. 2 Move the decimal point. Move the point separating decimal and hundredths to the right or left. Move it until you get to the next discharge.
   • Pay attention to the original position of the point. You need to know how many digits you need to "jump".
   • Example A: 8230000000000 => 8.23
     • Although initially there were no decimal values, moving the dot will mean separating the whole number.
   • Example B: 0.0000000000000046 => 4.6
3. 3 Count how many digits you missed. Look at both versions of the number and count the number of spaces ("missing" characters). Multiply the number by 10 to the power of the number of digits you counted.
   • This number multiplied by 10 to a certain extent is the final answer.
   • When you move the decimal point to the left, the "index" (that is, the exponent) will be positive. When you move the decimal point to the right, the index will be negative.
   • Example A: If the decimal point has been moved 12 places to the left, the index will be "12".
   • Example B: If the decimal point has been moved 15 places to the right, the index will be "-15".
4. 4 Write your final answer. It should include the number in its final form, multiplied by 10 to the desired power.
   • A factor of 10 is always used for numbers written in the form of "scientific notation". The number with a decimal point in the answer will always be to the right of "10".
   • Example A: Standard form of initial value: 8.23 * 10
   • Example B: Standard form of initial value: 4.6 * 10

Method 4 of 4: Standard Complex Form

1. 1 Look at the expression. It must include at least two numerical values. One value is a real integer, and the other value must be under the root.
   • Remember that two negative numbers will give a positive value when multiplied, just like two positive numbers multiplied by each other. In this regard, any number squared by itself already gives a positive value, regardless of whether this number is positive or negative. Thus, there is no such number that can be the result of the square root of a negative number. That is, if the root is a negative number, you are already dealing with imaginary numbers. #*Example:Write the number in standard form: √ (-64) + 27
2. 2 Separate the real (positive) number. It should be placed at the front of your final answer.
   • Example: The real number in this value is "27". But this is only part of the meaning at the root.
3. 3 Take the square root of an integer. Look at the number under the root. Even if you cannot actually calculate the square root from it, since this number is negative, you should at least figure out what the result would be if this number were positive. Find this value and write it down.
   • Example: At the root is the number "-64". If this number were positive, the square root of 64 would be 8.
     • In other words, it turns out:
     • √(-64) = √[(64) * (-1)] = √(64) * √(-1) = 8 * √(-1)
4. 4 Write down the imaginary part of the number. Write the value you just calculated with the index "i". This is an imaginary number and will be the answer in the standard form.
   • Example: √(-64) = 8i
     • "I" is just a way to write the number √ (-1) in standard form.
     • If you are calculating the result of the expression “√ (-64) = 8 * √ (-1)”, you can write it “8 * i” or “8i”.
5. 5 Write your final answer. You should write down the result you received. Write the real number first, then the imaginary number. Separate them with a plus sign.
   • Example: The standard form of the original number is: 27 + 8i