Subjects algebra

Multiply Standard Form

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Multiply Standard Form


1. The problem is to find the value of $2000 \times 80000$ in standard form. 2. First, express the numbers in scientific notation: $2000 = 2 \times 10^{3}$ and $80000 = 8 \times 10^{4}$. 3. Multiply the coefficients and add the exponents: $$(2 \times 10^{3}) \times (8 \times 10^{4}) = (2 \times 8) \times 10^{3+4} = 16 \times 10^{7}.$$ 4. Convert $16 \times 10^{7}$ into standard scientific notation: $$16 \times 10^{7} = 1.6 \times 10^{1} \times 10^{7} = 1.6 \times 10^{8}.$$ 5. So, the value of $2000 \times 80000$ in standard form is $1.6 \times 10^{8}$.