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If a number is divided by 6, the remainder is 4. What is the number?
If a number is divided by 6, the remainder is 4. What is the number?
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Practice Questions
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Q1
If a number is divided by 6, the remainder is 4. What is the number?
10
16
22
28
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A number that gives a remainder of 4 when divided by 6 can be expressed as 6k + 4. For k = 2, the number is 6*2 + 4 = 16.
Questions & Step-by-step Solutions
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Q
Q: If a number is divided by 6, the remainder is 4. What is the number?
Solution:
A number that gives a remainder of 4 when divided by 6 can be expressed as 6k + 4. For k = 2, the number is 6*2 + 4 = 16.
Steps: 6
Show Steps
Step 1: Understand that when a number is divided by 6, it can be written in the form of 6k + r, where k is a whole number and r is the remainder.
Step 2: Since the remainder is 4, we can write the number as 6k + 4.
Step 3: Choose a value for k. For example, let k = 0. Then the number is 6*0 + 4 = 4.
Step 4: Now try k = 1. The number is 6*1 + 4 = 10.
Step 5: Next, try k = 2. The number is 6*2 + 4 = 16.
Step 6: You can keep increasing k to find more numbers that fit this condition, like k = 3 gives 22, k = 4 gives 28, and so on.
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