2e 7 In Standard Form

Standard Form Calculator

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Calculator Utilize

Find standard class of a positive or negative number with the standard form calculator. Convert from number format to standard form as a decimal multiplied by a power of 10.

What is Standard Course

Standard form is a way of writing a number so it is easier to read. Information technology is often used for very large or very small numbers. Standard course is like scientific notation and is typically used in science and engineering science.

A number is written in standard form when it is represented every bit a decimal number times a power of 10.

As an example, consider the speed of light which travels at about 671,000,000 miles per hour. Written in standard form this number is equivalent to 6.71 x 10⁸.

How to Convert to Standard Course

Standard form is like scientific notation where a number is represented as a decimal number times a power of 10. Standard form format is:

\[ a \times ten^{b} \]

Where

a is a number whose absolute value is a decimal number greater than or equal to i, and less than 10: \[ ane \le \left\lvert a \right\rvert \lt ten \]
b is an integer and is the power of ten required and then that the production of the multiplication in standard grade equals the original number

How to Catechumen a Number to Standard Form

Standard form of a number is a ten x ^b where a is a number, i ≤ |a| < ten. b is the power of 10 required so that the standard course is mathematically equivalent to the original number.

Motion the decimal indicate in your number until there is only one not-zero digit to the left of the decimal bespeak. The resulting decimal number is a.
Count how many places you lot moved the decimal point. This number is b.
- If you moved the decimal to the left b is positive.
- If you moved the decimal to the right b is negative.
- If you did not need to motion the decimal b = 0.
Write your scientific notation number equally a x ten ^b and read information technology as "a times 10 to the power of b."
Remove abaft 0's only if they were to the left of the decimal point.

Case: Convert 459,608 to Standard Form

Move the decimal five places to the left to get iv.59608
a = 4.59608
We moved the decimal to the left so b is positive
b = 5
The number 459,608 converted to standard form is iv.59608 x ten^five

Example: Convert 0.000380 to Standard Form

Move the decimal 4 places to the right and remove leading zeros to get 3.80
a = 3.80
We moved the decimal to the right so b is negative
b = -4
The number 0.000380 converted to standard class is 3.80 10 x^-4
Annotation that nosotros do not remove the trailing 0 considering it was originally to the right of the decimal and is therefore a meaning figure.