Question
Which number is a reasonable estimate for puotient of \( 6,437 \div 72 \) ?
Ask by Gibbs Dunn. in the United States
Nov 23,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Una estimación razonable es aproximadamente 90.
Solution
Para estimar el cociente de \( 6,437 \div 72 \), podemos redondear los números a valores más fáciles de manejar.
Podemos redondear \( 6,437 \) a \( 6,400 \) y \( 72 \) a \( 70 \).
Ahora, realizamos la división:
\[
6,400 \div 70
\]
Para simplificar, podemos dividir ambos números por 10:
\[
640 \div 7
\]
Ahora, podemos estimar \( 640 \div 7 \). Sabemos que \( 7 \times 90 = 630 \) y \( 7 \times 100 = 700 \), por lo que el cociente está entre 90 y 100.
Una estimación razonable sería alrededor de \( 90 \).
Por lo tanto, una estimación razonable para el cociente de \( 6,437 \div 72 \) es aproximadamente \( 90 \).
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Simplify this solution The Deep Dive
To estimate the quotient of \( 6,437 \div 72 \), we can round the numbers to make the division simpler. We can round \( 6,437 \) to \( 6,400 \) and \( 72 \) to \( 70 \). Dividing \( 6,400 \) by \( 70 \) gives us approximately \( 91.43 \). To make it easier, we can round that to \( 90 \), making \( 90 \) a reasonable estimate for the quotient. Using estimation helps in quickly tackling division problems without having to precisely calculate the exact values right away. It's a great skill for doing mental math when you're on the go or in situations where an approximation is good enough, like when budgeting or figuring out time!
