Question

in the united states in 2018, approximately 8,000,000,000 pennies were produced, and approximately 2,000,000,000 quarters were produced. how many times as many pennies were produced as quarters? what is 4·1? \\(\frac{\text{number of pennies}}{\text{number of quarters}} = \frac{8,000,000,000}{2,000,000,000} = \frac{8 \cdot 10^9}{2 \cdot 10^9} = \frac{8}{2} \cdot \frac{10^9}{10^9} = 4 \cdot 1 = \square\\)

Explanation:

Step1: Simplificar la fracción de exponentes

Tenemos $\frac{8 \cdot 10^9}{2 \cdot 10^9}$. Separamos la fracción en dos partes: $\frac{8}{2} \cdot \frac{10^9}{10^9}$.

Step2: Calcular cada parte

$\frac{8}{2} = 4$ y $\frac{10^9}{10^9} = 1$ (por la propiedad de exponentes $\frac{a^n}{a^n} = 1$ para $a
eq 0$). Luego, multiplicamos estos resultados: $4 \cdot 1 = 4$.

Answer:

4