Respuesta :

The number in standard form is [tex]4.1\times 10^2[/tex]

Procedure to find the standard form

The standard form of a number is represented as:

[tex]a \times 10^b[/tex]

Where:

  • The value of a is between 1 and 10
  • b is an integer

The number is given as:

[tex](4\times 100)+(1\times 10)+(3\times 1/10)+(5\times 1/1000)[/tex]

Express the fractions as decimals

[tex](4\times 100)+(1\times 10)+(3\times 0.1)+(5\times 0.001)[/tex]

Evaluate the products

[tex](400)+(10)+(0.3)+( 0.005)[/tex]

Evaluate the sums

[tex]410.305[/tex]

Express as a standard form

[tex]4.10305 \times 10^2[/tex]

Approximate

[tex]4.1\times 10^2[/tex]

Hence, the number in standard form is [tex]4.1\times 10^2[/tex]

Read more about standard forms at:

https://brainly.com/question/582850