Starter quiz
- Complete the statement. The additive inverse of a number is a number that, __________
- when added to the original number, gives the sum of 0 ✓
- when added to the original number, gives the sum of 1
- when multiplied by the reciprocal the product is 1
- when multiplied by the reciprocal the product is (-1)
-
- Match each number with its additive inverse.
- 4⇔(-4) ✓
- (-40)⇔40 ✓
- 0.4⇔(-0.4) ✓
- (-400)⇔400 ✓
- Select all the fractions that are equivalent to .
-
-
- ✓
- ✓
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-
- Match each calculation with an equivalent commutative calculation.
- ⇔✓
- ⇔✓
- ⇔✓
- Work out the missing number: ______
- '0.5' ✓
- Work out the missing number: ______
- '1.2' ✓
Exit quiz
- This image is a help guide to the priority of operations. Which set of operations must you always apply first when they are in a calculation?
- Addition and subtraction
- Multiplication and division
- Roots and exponents
- Brackets ✓
-
- How would you complete a calculation when an operation is repeated?
- Do them both at the same time ✓
- Go left to right
- Ignore them and do those operations last
-
- Without using a calculator, work out: = ______
- '62' ✓
- Without using a calculator, work out: = ______
- '20' ✓
- The answer to this calculation is 54. Match the triangle, star, square and arrow to the correct operation or numerical value.
- ⇔+ ✓
- ⇔✓
- ⇔✓
- ⇔2 ✓
- Without using a calculator, work out: = ______
- '50' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- Division and multiplication have the same priority.
- With addition and subtraction, subtractions can all be re-written as additions of the additive inverse.
- Brackets can make the priority much clearer and avoid ambiguity.
- Sometimes brackets can be implicit.
Common misconception
Students do not see the implicit brackets. Eg. Sqrt(49 + 36) is not sqrt(49) + sqrt(36)
Look for extended lines or operations which indicate an implicit brackets.
Keywords
Additive inverse - The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Commutative - An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
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