Learning Mathematics
Why zero divided by five works, while five divided by zero does not
Use multiplication and equal groups to explain why zero divided by five is zero, while division by zero has no defined answer in ordinary arithmetic.
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number sense
Understanding Mathematics
Why one is not a prime number
Explain why one is neither prime nor composite using positive divisors, factor lists and a simple prime-factorisation example.
Learning Mathematics
Compare Fractions by Making the Pieces the Same Size
Compare fractions using equal-sized wholes and a common denominator so the reasoning is visible instead of relying on the largest number.