Observa los carteles y completa con la palabra mĂștiplo o divisor. Argumenta tu respuesta.
[tex]$42 \div 7=6$[/tex]
[tex]$18 \div 6=3$[/tex]
42 es ______ de 7.
7 es ______ de 42.
6 es ______ de 18.
18 es ______ de 6.
Answer (2)
42 is a multiple of 7 because 42 = 7 Ă 6 .
7 is a divisor of 42 because 42 Ă· 7 = 6 .
6 is a divisor of 18 because 18 Ă· 6 = 3 .
18 is a multiple of 6 because 18 = 6 Ă 3 .
Explanation
Understanding Multiples and Divisors We are given two division facts: 42 Ă· 7 = 6 and 18 Ă· 6 = 3 . We need to determine whether the numbers are multiples or divisors of each other.
Analyzing 42 and 7 In the division 42 Ă· 7 = 6 , 42 is the dividend, 7 is the divisor, and 6 is the quotient. This means that 42 is a multiple of 7 because 42 can be obtained by multiplying 7 by an integer (6). Conversely, 7 is a divisor of 42 because 7 divides 42 without leaving a remainder.
Analyzing 18 and 6 In the division 18 Ă· 6 = 3 , 18 is the dividend, 6 is the divisor, and 3 is the quotient. This means that 18 is a multiple of 6 because 18 can be obtained by multiplying 6 by an integer (3). Conversely, 6 is a divisor of 18 because 6 divides 18 without leaving a remainder.
Filling in the Blanks Therefore, we can fill in the blanks as follows:
42 es mĂșltiplo de 7. 7 es divisor de 42. 6 es divisor de 18. 18 es mĂșltiplo de 6.
Final Answer The completed statements are:
42 es mĂșltiplo de 7. 7 es divisor de 42. 6 es divisor de 18. 18 es mĂșltiplo de 6.
So the final answer is:
42 es mĂșltiplo de 7. 7 es divisor de 42. 6 es divisor de 18. 18 es mĂșltiplo de 6.
Examples
Understanding multiples and divisors is essential in many real-life situations. For example, when planning a trip, if you know the distance you need to travel (e.g., 42 miles) and the average distance you can cover in an hour (e.g., 7 miles), you can determine how many hours the trip will take (6 hours). Similarly, if you have a certain number of items (e.g., 18 cookies) and want to divide them equally among a group of friends (e.g., 6 friends), you can find out how many cookies each friend will receive (3 cookies). These concepts are also fundamental in more advanced mathematical topics such as algebra and number theory.
42 es mĂșltiplo de 7 y 7 es divisor de 42. 6 es divisor de 18 y 18 es mĂșltiplo de 6. Las relaciones se establecen a partir de las operaciones de divisiĂłn que nos muestran cĂłmo se relacionan los nĂșmeros entre sĂ.
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