California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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Which of the following best defines a multiple?

  1. A number that is added to itself

  2. A number that is divisible by another number with no remainder

  3. A number that cannot be divided

  4. A number that is always odd

The correct answer is: A number that is divisible by another number with no remainder

A multiple is defined as the product of a given number and an integer. In simpler terms, if you take a whole number and multiply it by another whole number, the result is a multiple of that first number. For instance, multiples of 3 include 3, 6, 9, 12, and so on, as these figures can be expressed as 3 multiplied by 1, 2, 3, and 4, respectively. The choice stating that a number is divisible by another number with no remainder aligns perfectly with this definition. When a number is a multiple of another, it will divide evenly, meaning there is no leftover or remainder from that division. Thus, if you consider the multiples of 4, for example, the number 16 can be divided by 4 without a remainder, affirming that 16 is indeed a multiple of 4. The other choices do not accurately capture the concept of multiples. Adding a number to itself does not inherently relate to the idea of multiples, as it merely defines a basic arithmetic operation. Similarly, stating that a number cannot be divided disregards the essence of multiples altogether. Lastly, the choice that indicates a number is always odd is not relevant, as multiples can