Year 7
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Lesson details
Key learning points
- In this lesson, we will practise negative number calculations, linking them to axioms like commutativity and associativity.
Licence
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6 Questions
Q1.
Choose the words that best fill in the gaps in order: We can use a known __________ to _________ other related facts.
commutativity, distribute
derive, product
distributive, derive
product, commutative
Q2.
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
derive
distributive
produce
Q3.
Calculate the following: (-80) ÷ (-5)
-16
-75
75
Q4.
Given that (-23) x (-14) = 322. Work out 322 ÷ (-14).
-322
14
23
Q5.
Given that (-23) x (-14) = 322. Work out (-322) ÷ 14.
-322
14
23
Q6.
Substitute n=-10 into n ÷ (-2)
-12
-5
12
5 Questions
Q1.
Fill in the gap: The axioms for positive numbers, that helped us to manipulate calculations, are also true for __________________ numbers.
associative
commutative
distributive
Q2.
Which description best matches the definition of commutativity?
It doesn't matter how we group the numbers (i.e. which we calculate first)
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.
Q3.
What word do we use to describe the relationship: 6 x 7 = 3 x 7 + 2 x 7?
Associativity
Commutativity
Integers
Q4.
Work out (-5) x 3 + 205 x 3
-600
1800
570
Q5.
Which calculation is equal to -5?
(-30) ÷ (-2)
(-5) x (-5) + 5
30 ÷ 3 x (-5)