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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

I need help with this math ?

2 x (3.2x10^3 x 5.43x10^4). Calculate without using calculator

2 Answers

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  • 1 month ago

    2 × (3.2 × 10^3 × 5.43 × 10^4)

    = 2 × (3,200 × 54,300)  

    = 2 × (162,900,000 + 10,860,000)

    = 2 × 173,760,000      

    = 347,520,000

  • 1 month ago

    You have:

    2 * (3.2 * 10³ * 5.43 * 10⁴)

    Since everything is getting multiplied together, you can group the powers of 10 and group the others together:

    2 * 3.2 * 5.43 * 10³ * 10⁴

    The product of two numbers with the same base is the same as the sum of the exponents, so this simplifies to:

    2 * 3.2 * 5.43 * 10⁷

    Next, you'll need to brute-force the multiplication of the other three numbers.  2 * 3.2 is simple enough to do in your head:

    6.4 * 5.43 * 10⁷

    For the others, you will need to do some long multiplication.  This ends up being:

    34.752 * 10⁷

    Finally, if you need the answer in scientific notation, we need to break off a power of 10 from that number so it's less than 10:

    3.4752 * 10¹ * 10⁷

    And one more simplification:

    3.4752 * 10⁸

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