How do you write $ 0.0001 $ in scientific notation?
Answer
609.3k+ views
Hint: For solving this question we need to convert(write) given numbers into the scientific notation. In scientific notation, we write a number so that it has a single digit to the left of the decimal sign and is multiplied by an integer power of $ 10 $ .
Complete step-by-step answer:
Note that moving decimal p digits to right is equivalent to multiplying by $ {10^p} $ and moving decimal q digits to left is equivalent to dividing by $ {10^q} $ .
Hence, we should either divide the number by $ {10^p} $ i.e. multiply by $ {10^{ - p}} $ (if moving decimal to right) or multiply the number by $ {10^p} $ (if moving decimal to left).
In other words, it is written as $ a \times {10^n} $ , where $ 1 \leqslant a < 10 $ and $ n $ is an integer.
To write $ 0.0001 $ in scientific notation, we will have to move the decimal point four points to right, which literally means multiplying by $ {10^4} $ .
Hence in scientific notation $ 0.0001 = 1.0 \times {10^{ - 4}} $ (note that as we have moved decimal one point to right we are multiplying by $ {10^{ - 4}} $ .
Note: A short way of changing scientific notation is to move the decimal point until there is only one (non-zero) digit to the left of the point. The number of places moved is the index. Point moves to the right, the index decreases and if Point moves to the left, the index increases.
Complete step-by-step answer:
Note that moving decimal p digits to right is equivalent to multiplying by $ {10^p} $ and moving decimal q digits to left is equivalent to dividing by $ {10^q} $ .
Hence, we should either divide the number by $ {10^p} $ i.e. multiply by $ {10^{ - p}} $ (if moving decimal to right) or multiply the number by $ {10^p} $ (if moving decimal to left).
In other words, it is written as $ a \times {10^n} $ , where $ 1 \leqslant a < 10 $ and $ n $ is an integer.
To write $ 0.0001 $ in scientific notation, we will have to move the decimal point four points to right, which literally means multiplying by $ {10^4} $ .
Hence in scientific notation $ 0.0001 = 1.0 \times {10^{ - 4}} $ (note that as we have moved decimal one point to right we are multiplying by $ {10^{ - 4}} $ .
Note: A short way of changing scientific notation is to move the decimal point until there is only one (non-zero) digit to the left of the point. The number of places moved is the index. Point moves to the right, the index decreases and if Point moves to the left, the index increases.
Recently Updated Pages
You are the head boyhead girl Write a notice informing class 7 english CBSE

The image formed by a plane mirror is always laterally class 7 physics CBSE

When phenolphthalein is added toNaOH the colour of class 7 chemistry CBSE

Find the least number which when divided by 15 leaves class 7 maths CBSE

Show that one and only one out of n n + 2n or n + -class-7-maths-CBSE

During heavy exercise we get cramps in the legs due class 7 biology CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE


