Practice question · True or false
Since 47 = 6 x 6 + 11 is a true equation, it gives the quotient and remainder of 47 divided by 6.
Hints
- Check the arithmetic first, then check the remainder against the divisor.
- How many more 6s still fit inside 11?
Show the answer
False
Why
False. The arithmetic is correct (36 + 11 = 47) but 11 is larger than the divisor 6, so it is not a legal remainder. The division algorithm gives 47 = 6(7) + 5. This is exactly the trap the lesson warns about: a true equation is not automatically a valid division.
Practise Divisibility and the Division Algorithm
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