If a number is a multiple of 9, which of the following must also be true?
Practice Questions
Q1
If a number is a multiple of 9, which of the following must also be true?
It is a multiple of 3.
It is a multiple of 27.
It is a prime number.
It is an even number.
Questions & Step-by-Step Solutions
If a number is a multiple of 9, which of the following must also be true?
Step 1: Understand what a multiple of a number is. A multiple of a number is the result of multiplying that number by an integer (like 1, 2, 3, etc.).
Step 2: Identify what it means for a number to be a multiple of 9. For example, 9, 18, 27, and 36 are all multiples of 9 because they can be expressed as 9 times an integer.
Step 3: Now, let's look at multiples of 3. A multiple of 3 is any number that can be expressed as 3 times an integer (like 3, 6, 9, 12, etc.).
Step 4: Notice that every multiple of 9 can also be divided by 3 without leaving a remainder. For example, 9 ÷ 3 = 3, 18 ÷ 3 = 6, and 27 ÷ 3 = 9.
Step 5: Since every multiple of 9 can be divided by 3 evenly, we can conclude that all multiples of 9 are also multiples of 3.
Multiples and Divisibility – Understanding the relationship between multiples of numbers, specifically how multiples of 9 are also multiples of 3 due to the properties of divisibility.
