Math ! there is an average of 3.5×10^−2 kilograms of dissolved salt in each liter of seawater. the south china sea contains approximately 9.88×10^18 liters of seawater. about how many kilograms of dissolved salt are in the south china sea? enter your answer, in scientific notation, in the boxes. __ x 10^__ kg and you!

3.458 × 10¹⁷

Explanation:

We multiply the amount of salt per liter, 3.5×10⁻², by the amount of sea water in the South China Sea, 9.88×10¹⁸:

(3.5×10⁻²)(9.88×10¹⁸)

Multiplication is commutative; this means we can switch around the numbers we are multiplying:

(3.5×9.88)(10⁻²×10¹⁸)

Multiplying the numbers in the first set of parentheses, we have 34.58.

To multiply the powers of 10, we use the product property; it states that if we multiply powers that have the same base, we add their exponents:

10⁻²×10¹⁸ = 10⁻²⁺¹⁸ = 10¹⁶

This gives us 34.58 × 10¹⁶.  In scientific notation, the decimal must be behind the first non-zero digit; this gives us 3.458.  When we move the decimal again, we add 1 to the exponent; this gives us 3.458 × 10¹⁷

answer: are you

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