If a number leaves a remainder of 4 when divided by 6, which of the following nu
Practice Questions
Q1
If a number leaves a remainder of 4 when divided by 6, which of the following numbers could it be?
10
16
22
28
Questions & Step-by-Step Solutions
If a number leaves a remainder of 4 when divided by 6, which of the following numbers could it be?
Step 1: Understand what it means to leave a remainder. When a number is divided by another number, the remainder is what is left over after the division.
Step 2: In this case, we are dividing by 6 and we want a remainder of 4.
Step 3: To find a number that leaves a remainder of 4 when divided by 6, we can use the formula: Number = (6 * quotient) + remainder.
Step 4: Since the remainder is 4, we can write: Number = (6 * quotient) + 4.
Step 5: The quotient can be any whole number (0, 1, 2, ...). Let's try some values for the quotient.
Step 6: If the quotient is 0, then Number = (6 * 0) + 4 = 4.
Step 7: If the quotient is 1, then Number = (6 * 1) + 4 = 10.
Step 8: If the quotient is 2, then Number = (6 * 2) + 4 = 16.
Step 9: We can see that 4, 10, and 16 all leave a remainder of 4 when divided by 6.
Step 10: Therefore, any number of the form 6n + 4 (where n is a whole number) could be a valid answer.
Modular Arithmetic – Understanding how remainders work when dividing numbers.
