How to express numbers in standard form?

Do you know that the distance between the earth and the nearest star from earth is about 40,208,000,000,000 kilometers?

It is tough to count and read such large numbers. Right? You cannot tackle a number as big as that, imagine when you have to make calculations with this.

For example, when this distance is multiplied or divided by the speed of light, it could not be solved manually.

To solve such problems, you need a calculator. We'll explain how you can convert a standard form manually or by using a standard form calculator.

Scientists used to work with very large numbers such as the distance of sun from the earth and very small numbers such as mass of proton.

Therefore, they need a system for writing these numbers to count them easily.

This system of writing numbers is known as standard form. Before you learn to simplify the standard form, first you have to understand the term.

What is standard form?

Standard form is a simple method of writing very large and very small numbers by putting a decimal number succeeded by an exponent of 10.

The decimal point can be moved to as many places as required, but it's usually preferred as rounded to one. The exponent number demonstrates the magnitude of the given number.

Thus, the distance of the nearest star from earth when written in standard form would become approx. 4.02 X 10 13 �km.

This method of managing large and small numbers is also referred to as scientific notation. The general equation for writing numbers in scientific number is written as Y � 10 n

Where n is an exponent that is the number you move towards decimal point.

Why we need to convert numbers in standard form?

Thus, the main objective of writing numbers in standard numbers is to convert very small or large numbers into generally simplified forms, so that everybody can quickly grasp and work on them even better.

Rather than writing a very high number of zeros, using this international method of writing numbers is much easier. Besides, standard numbers can be measured conveniently by everyone and enable students to get answers quickly.

Express numbers in standard form by following steps?

Here are simple steps for expressing numbers in standard form.

# Step 1 :-

�It is important to be the first number between 0 to 9. Notice the place where the decimal point in the numbers is. Then insert the decimal point just after writing first figure as represented below. Number of places you moved the decimal point should be kept in mind.

If the last number is an integer, then insert the decimal point here. The decimal point has to be moved correctly if it is a number less than 0.

5,800,000 > 5.8

Make sure the decimal point lies between 1 and <1.

# Step 2 :-

Move the decimal point; write it directly back after the very first figure if it approaches 0, or if the first non-zero numbers are less than 0. If the number exceeds 0. Write non-zero figures after the decimal point.

# Step 3 :-

Write the output of step 2, with the number of decimals that you had to change the decimal point, multiplying by 10 to the power of the n. when you have a number that is less than 0, increase 10 to the negative of n.

Multiply the above number by 10, this would become 5.8 �10 6 as you shift the decimal point to 6 figures to the right to get the standard form of this number.

Examples :-

Take a look at the given examples and clear your concept

1. Write 782500000000000 into standard form.

Standard form: 7.82 � 10 14

2. Write 0.00025614 into standard form

Standard form: 2.56 � 10 -4

Use standard form calculator for quick results :-

Another way to simplify standard form is using an online calculator that can help to determine arithmetic calculations easily by writing numbers in scientific notation. This approach can be used to reduce unnecessary pressure on students who have no mathematical background.

The standard notation converter by meracalculator is developed to change any number into its standard form either it is very small or large.

It renders a very large and very small number into easily readable standard form. This is a digital calculator that converts numbers to a standard form easily and quickly.

How to use it?

It gives you an excellent standard form calculator to modify any number to determine the its regular or standard form.

With this standard form calculator, you can easily convert any large or small number into its standard form. It's very easy to use and you can get the results directly by following the steps below

. 1) Put the number in the input field

2) press the convert-button that is given just below and get the results.

3) there is a reset key, and by using the Reset button, you can reset the values to begin again.

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