which is the best estimate for (2.8×10³)(4.1×10⁶) written in scientific notation?\n7×10⁹\n1.2×10¹⁰\n1.5×10¹⁰\…
which is the best estimate for (2.8×10³)(4.1×10⁶) written in scientific notation?\n7×10⁹\n1.2×10¹⁰\n1.5×10¹⁰\n12×10¹⁸
Answer
Answer:
B. $1.2\times10^{10}$
Explanation:
Step1: Multiplicar coeficientes
$2.8\times4.1\approx3\times4 = 12$
Step2: Sumar exponentes de potencias de 10
$10^{3}\times10^{6}=10^{3 + 6}=10^{9}$
Step3: Escribir en notación científica
$12\times10^{9}=1.2\times10^{1}\times10^{9}=1.2\times10^{1 + 9}=1.2\times10^{10}$