Question

express 2457000 in scientific notation​

Answer 1

Hey there!

Answer with step-by-step explanation:

The scientific notation is also called E-notation,

scientific form of a number, standard index form, or just standard form,

is a way of writing numbers deemed too big or too small to be conveniently used in their decimal form.

The examples of scientific notation are:

490000000 = 4.9×$10^8$

1230000000 = 1.23×$10^9$

50500000 = 5.05 x$10^7$

0.000000097 = 9.7 x$10^{-8}$

0.0000212 = 2.12 x $10^{-5}$

The required answers are:

Hence, 2457000 can be written as 2.457 x $10^{6}$

or 24.57 x $10^{5}$

or  245. 7 x $10^{4}$

or 2457.0 x $10^{3}$ etc.,

More information:

Scientific Notation Rules

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.

Example: 6000 = 6 × 103 is in scientific notation.

If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.

Example: 0.006 = 6 × 0.001 = 6 × 10-3 is in scientific notation.

Positive and Negative Exponent

When the scientific notation of any large numbers is expressed, then we use positive exponents for base 10.

For example:

20000 = 2 x 104, where 4 is the positive exponent.

When the scientific notation of any small numbers is expressed, then we use negative exponents for base 10.

For example:

0.0002 = 2 x 10-4, where -4 is the negative exponent.

Thanks!