Question

Write the measured distance quantities 3 x 10^-4 cm and 3 x 10^4 km in regular notation

Answer 1

Answer : The standard notation are, 0.0003 cm and 30000 km respectively.

Explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

5000 is written as
`5.0* 10^3`

889.9 is written as
`8.899* 10^(-2)`

In this examples, 5000 and 889.9 are written in the standard notation and
`5.0* 10^3` and
`8.899* 10^(-2)` are written in the scientific notation.
`8.89* 10^(-2)` this is written in the scientific notation and the standard notation of this number will be, 0.00889.

As we are given that the measurement of distance in scientific notation. Now we have to convert it into standard notation.

Given scientific notation :
`3* 10^(-4)cm`

The standard notation will be, 0.0003 cm

Given scientific notation :
`3* 10^(4)km`

The standard notation will be, 30000 km

Answer 2

When the terms are in terms of exponents of 10, they are in specific notation. To convert them to regular notation, you have to take not of the exponent and its sign. If the exponent is -4 like 3 x 10^-4 cm, you have to move the decimal point 4 places to the left. So, that would be 0.0003 cm. If the exponent is +4 like 3 x 10^4 km, you move the decimal place 4 places to the right. So, that would be 30,000 km.