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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?
rewrite 8,000,000,000 as 8 times a power of 10.
\\(\frac{\text{number of pennies}}{\text{number of quarters}} = \frac{8,000,000,000}{2,000,000,000} = \frac{8 \cdot 10^{\square}}{?}\\)
Step1: Analizar el número de ceros en 8,000,000,000
El número 8,000,000,000 tiene 9 ceros después del 8.
Step2: Escribir como potencia de 10
Sabemos que \( 10^n \) tiene \( n \) ceros. Entonces, 8,000,000,000 se puede escribir como \( 8 \times 10^9 \), ya que \( 10^9 = 1,000,000,000 \) (tiene 9 ceros) y \( 8 \times 1,000,000,000 = 8,000,000,000 \).
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