Question

Express 0.000023 in standard form . *

Answer 1

Answer:

0.000023 in standard form will be $\frac{23}{1000000}$

Step-by-step explanation:

As per the data given in the question,

We have to convert the given number in its standard form.

As we know,

Standard form of any number is the form in which the number itself is represented in form of fraction.

As here the given number is in decimal form.

So, for converting the given number in fraction form, we will divide the given number by 1000000 (As there are 6 digits after decimal place, so we will divide the number by 1000000)

After converting the number in fraction form, we will simplify the given number in its simplest form.

So, after dividing the numerator by 1000000 the given number will become  $0.000023=\frac{23}{1000000}$

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Answer 2

Decimals in standard form are the simplest form that is easy to read and write. For example, the standard form of the decimal number 0.007 is 7 × 10-3. Sometimes it is very difficult to read or write very large or very small numbers. That's why we write them in standard form. In the standard form, not only decimal places can be written, but any number.

The standard form of a number in mathematics is basically mentioned to represent large or small numbers. We use exponents to represent such numbers in standard form.

The correct definition of the standard form could be better explained using decimal numbers and following certain rules. As we know, decimal numbers are a simplified form of fractions.

Some fractions give decimal numbers that have numbers after the decimal places in thousandths, hundredths, or tenths. But there are fractions that give a large decimal number. To represent such large numbers, we use simpler forms, which are also given as scientific notation.

In essence, it can be said that it is a representation of rational numbers in a standard form. Rational numbers are numbers that can be represented in the form p/q, where p and q are both integers. For example 1/10, 4/5, 8/9 etc.

According to the data given in the question

We have to convert the given number into standard form.

as we know

The number shown here is in decimal form.

To convert the given number in fraction form, we divide the given number by 1000000 (Since there are 6 digits after the decimal place, we divide the number by 1000000)

After converting the number in fractional form, we simplify the given number in its simplest form.

So after dividing the numerator by 1000000 the given number will be

$0.000023=\frac{23}{1000000}$

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