Math, asked by rakeshpal7057, 8 months ago

writing standard form 209.567

Answers

Answered by harsh1920hx2
0

Answer:

you answer

Step-by-step explanation:

209567/1000

Answered by Agastya0606
0

The standard form of 209.567 is 2.09 × 10².

Given,

The number = 209.567

To Find,

The standard form of the number.

Solution,

Before solving the question, let's understand the concept of standard form and the steps involved in writing the standard form of a decimal number.

Standard Form: Standard form refers to any number between 1.0 and 10.0 that can be expressed as a decimal number multiplied by a power of 10.

Steps involved in writing the standard form of a decimal number:

Step1: Move your decimal number after the first non-zero digit from its original position.

Step2: Count the number of digits you moved. We will write this number in standard form as the power of 10.

Step3: If you move the numbers in the left direction, then the power of 10 will be positive.

Now, let's solve the question.

Number is given = 209.567

Using the first step, we will move the digit,

= 2.09567 or 2.09

Using the second step, we will count the number of places we moved the digit.

In this case, we moved the digit to two places

So, It is 10².

= 2.09 × 10²

using the third step, we moved the digit to the left,

So, the power will be positive,

= 2.09 × 10²

The standard form of 209.567 is 2.09 × 10².

#SPJ2

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