Question

Standard Form
Why do we need exponents? Think! Do we need exponents only to express multiplication? Or is there
more to do with the real world.
Have you come across any statements as those given below?
A "light year" is a measure of distance; it is defined as the distance travelled by light in one year.
Light travels at a speed of about 300,000 kilometres each second. Thus, in one year, it travels about
9,500,000,000,000 kilometres.
The Milky Way has a radius of about 50,000 light years.
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Earth's mass is 5980000000000000000000000 kg.
Earth's distance from Sun is 149,600,000 km.
These numbers representing distance and mass are very large. Thus, they are difficult to read,
understand, compare and operate. Using exponents, these numbers can be written in standard notation
so that they become easier to operate.
To express very large or very small numbers in a convenient manner, scientists write the number as
a decimal number between 1 and 10 multiplied by an integral power of 10. A number written in this form
is said to be in standard form.
Thus, a number is in its standard form if it is be expressed as k * 10", where 1 sk < 10 and n is
an integer. This form is also called as the scientific notation of a number,
For example, the standard form of 123000 is 1.23 * 105, the standard form of 1.23 is 1.23 x 10° and the
standard form of 0.00123 is 1.23 * 10-
Thus, speed of light = 300,000 kilometres per second = 3 * 105 kilometres per second
Distance travelled by light in a year = 9,500,000,000,000 kilometres = 9.5 * 1012 kilometres,
The radius of the Milky Way = 50,000 light years = 5 * 104 light years.
Earth's mass = 5980000000000000000000000 kg = 5,98 x 1024 kg.
Remember that in the standard form of a number:
a. There is only one digit to the left of the decimal point.
b. If the number is greater than 10, then the power of 10 is a positive number equal to the number of
places the decimal point moves to the left.
C. The power of 10 is zero if the number is in between 1 and 10.​

Answer 1

Step-by-step explanation:

00000000000000000000000000000000000000000000