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Express 2,36,00,000 in standard form....

Express 2,36,00,000 in standard form.

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To express the number 2,36,00,000 in standard form, we will follow these steps: ### Step 1: Identify the first non-zero digit The first non-zero digit in the number 2,36,00,000 is 2. ### Step 2: Place the decimal point We place the decimal point after the first digit (2). This gives us 2. ### Step 3: Write down the remaining digits After placing the decimal point, we write down the remaining digits, which are 3, 6, 0, 0, 0, 0. So, we have: \[ 2.3600000 \] ### Step 4: Count the number of digits after the decimal point Now, we need to count how many digits are to the right of the decimal point. The digits after the decimal point are 3, 6, 0, 0, 0, 0, which gives us a total of 6 digits. ### Step 5: Write the number in standard form Now, we express the number in standard form using the formula: \[ 2.36 \times 10^n \] where \( n \) is the total number of digits to the left of the decimal point minus 1. In our case, the total number of digits in 2,36,00,000 is 8 (2, 3, 6, 0, 0, 0, 0, 0). Therefore, \( n = 8 - 1 = 7 \). Thus, we can write: \[ 2.36 \times 10^7 \] ### Final Answer The standard form of 2,36,00,000 is: \[ 2.36 \times 10^7 \] ---
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Knowledge Check

  • Express 32xx10000000 in standard form.

    A
    `3.2xx10^7`
    B
    `32xx10^8`
    C
    `3.2xx10^8`
    D
    `32xx10^7`
  • Express (33)/(-44) in standard form.

    A
    `(-3)/(4)`
    B
    `(-5)/(4)`
    C
    `(-7)/(4)`
    D
    `(3)/(4)`
  • Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. such a form of a number is called its standard form. Express in standard form : 150, 000, 000, 000

    A
    `1.5xx 10^(11)`
    B
    `15xx 10^(11)`
    C
    `15xx 10^(9)`
    D
    `150xx 10^(8)`
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