Pregunta
\( 19 \div \square = 6 \cdots 1 \)
Ask by Gibson Wright. in Japan
Mar 12,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The missing number is 3.
Solución
We are given the division with a missing divisor:
\[
19 \div \square = 6 \cdots 1
\]
This means that when \( 19 \) is divided by the unknown number (denote it by \( d \)), the quotient is \( 6 \) and the remainder is \( 1 \). According to the division algorithm, we have:
\[
19 = d \times 6 + 1
\]
**Step 1:** Subtract the remainder from the dividend:
\[
19 - 1 = 18
\]
**Step 2:** Set up the equation to solve for \( d \):
\[
d \times 6 = 18
\]
**Step 3:** Divide both sides by \( 6 \) to find \( d \):
\[
d = \frac{18}{6}
\]
\[
d = 3
\]
Thus, the missing number is \( 3 \).
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Simplifique esta solución Beyond the Answer
To solve the equation \( 19 \div \square = 6 \cdots 1 \), you need to recognize that \( 6 \cdots 1 \) represents 6 with a remainder of 1. This means when you divide 19 by a certain number, you get 6 as the quotient and 1 as the leftover amount. When you divide 19 by 6, the quotient is indeed 3, since \( 3 \times 6 = 18 \), leaving a remainder of 1. So the missing number in the square is 3. In more relatable terms, dividing 19 by 3 gives you 6 with a little leftover, much like trying to split 19 cookies among 3 friends. Each friend gets 6 cookies, and you still have 1 cookie left to either nibble on or save for later!
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