Observa los carteles y completa con la palabra múltiplo o divisor. Argumenta tu respuesta.
[tex]$42 \div 7=6 \quad(18 \div 6=3$[/tex]
42 es ______ de 7.
7 es ______ de 42.
6 es ______ de 18.
18 es ______ de 6.
Answer (2)
Recognize that a multiple is the product of a number and an integer, while a divisor divides a number evenly.
From 42 ÷ 7 = 6 , identify 42 as a multiple of 7 and 7 as a divisor of 42.
From 18 ÷ 6 = 3 , identify 6 as a divisor of 18 and 18 as a multiple of 6.
Fill in the blanks with the correct terms: 42 es múltiplo de 7, 7 es divisor de 42, 6 es divisor de 18, 18 es múltiplo de 6.
Explanation
Understanding Multiples and Divisors We are given two division facts: 42 ÷ 7 = 6 and 18 ÷ 6 = 3 . We need to determine whether the numbers are multiples or divisors of each other.
Analyzing 42 and 7 In the division 42 ÷ 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).
Analyzing 7 and 42 Since 42 is a multiple of 7, then 7 is a divisor of 42.
Analyzing 6 and 18 In the division 18 ÷ 6 = 3 , 18 is the dividend, 6 is the divisor, and 3 is the quotient. This means that 6 is a divisor of 18 because 18 can be obtained by multiplying 6 by an integer (3).
Analyzing 18 and 6 Since 6 is a divisor of 18, then 18 is a multiple of 6.
Final Answer Therefore, the completed sentences are: 42 es múltiplo de 7. 7 es divisor de 42. 6 es divisor de 18. 18 es múltiplo de 6.
Examples
Understanding multiples and divisors is crucial in everyday situations, such as dividing a pizza equally among friends or calculating how many items you can buy with a certain amount of money. For example, if you have 24 slices of pizza and want to divide it equally among 6 friends, you need to know that 6 is a divisor of 24. This means each friend will get 4 slices ( 24 ÷ 6 = 4 ). Similarly, if you know that each movie ticket costs $8, and you have $32, you can determine how many tickets you can buy by finding out how many times 8 goes into 32, which is 4 tickets because 32 is a multiple of 8 ( 8 × 4 = 32 ).
En la relación entre 42, 7, 18 y 6, se determina que 42 es múltiplo de 7 y 7 es divisor de 42. Además, 6 es divisor de 18 y 18 es múltiplo de 6. Estas clasificaciones se basan en las divisiones dadas y las definiciones de múltiplos y divisores.
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