If a number is divided by 9 and gives a remainder of 2, which of the following numbers will also give the same remainder when divided by 9?
Practice Questions
1 question
Q1
If a number is divided by 9 and gives a remainder of 2, which of the following numbers will also give the same remainder when divided by 9?
11
20
29
38
29 gives a remainder of 2 when divided by 9 (9*3 + 2 = 29).
Questions & Step-by-step Solutions
1 item
Q
Q: If a number is divided by 9 and gives a remainder of 2, which of the following numbers will also give the same remainder when divided by 9?
Solution: 29 gives a remainder of 2 when divided by 9 (9*3 + 2 = 29).
Steps: 6
Step 1: Understand what it means to divide a number by 9 and get a remainder of 2. This means that when you divide the number by 9, it does not fit perfectly into 9, and there is a leftover of 2.
Step 2: Write the number in a mathematical form. If a number gives a remainder of 2 when divided by 9, it can be expressed as: number = 9 * k + 2, where k is any whole number (0, 1, 2, ...).
Step 3: For example, if k = 3, then the number would be 9 * 3 + 2 = 27 + 2 = 29. So, 29 is one example of a number that gives a remainder of 2 when divided by 9.
Step 4: Now, to find other numbers that also give a remainder of 2 when divided by 9, we can add multiples of 9 to 29. This means we can check numbers like 29 + 9, 29 + 18, etc.
Step 5: Calculate these numbers: 29 + 9 = 38, 29 + 18 = 47, and so on. Each of these numbers will also give a remainder of 2 when divided by 9.
Step 6: To check if a number gives a remainder of 2 when divided by 9, you can divide the number by 9 and see if the remainder is 2.
