Axioms and negative numbers

Maths

Fill in the gap: The axioms for positive numbers, that helped us to manipulate calculations, are also true for __________________ numbers.

It doesn't matter how we group the numbers (i.e. which we calculate first)

The operation can be applied to the numbers in any order.

We get the same answer when we: multiply a number by a group of numbers added together, or do each multiplication separately then add them.

Which description best matches the definition of commutativity?

What word do we use to describe the relationship: 6 x 7 = 3 x 7 + 2 x 7?

Choose the words that best fill in the gaps in order: We can use a known __________ to _________ other related facts.

Fill in the gap: Using the fact that (-7) x (-2) = 14 we can use the _____________ of multiplication to deduce that (-2) x (-7) = 14

Given that (-23) x (-14) = 322. Work out 322 ÷ (-14).

Given that (-23) x (-14) = 322. Work out (-322) ÷ 14.