New
New
Year 7

Multiplication and division where two or more values are negative

I can use the mathematical structures that underpin multiplication and division of negative integers.

New
New
Year 7

Multiplication and division where two or more values are negative

I can use the mathematical structures that underpin multiplication and division of negative integers.

Lesson details

Key learning points

  1. Multiplication with negative numbers can be turned into a subtraction.
  2. Division is the inverse operation of multiplication.
  3. The rules for multiplying with negative numbers can be extended to division.

Common misconception

Using the phrase '2 negatives make a positive'.

Ensuring pupils understand the structure of the maths and not 'tricks' is so important. Encourage the use of correct language at all times

Keywords

  • Absolute value - The absolute value of a number is its distance from zero. E.g. 5 and (-5) are both 5 away from zero and so both have an absolute value of 5.

  • Product - A product is the result of two or more numbers multiplied together.

At the beginning of the 3rd learning circle before revealing how Aisha knows if a product will be positive or negative. Challenge pupils to decide if different products will be positive or negative.
Teacher tip

Equipment

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Work out $$2\times (-3)$$
6
5
(-5)
Correct answer: (-6)
Q2.
Match each calculation to its correct answer.
Correct Answer:$$4\times (-3)$$,$$(-12)$$

$$(-12)$$

Correct Answer:$$(-3)\times 5$$,$$(-15)$$

$$(-15)$$

Correct Answer:$$5\times (-6)$$,$$(-30)$$

$$(-30)$$

Correct Answer:$$(-4)\times 2$$,$$(-8)$$

$$(-8)$$

Correct Answer:$$10\times (-2)$$,$$(-20)$$

$$(-20)$$

Q3.
Select all the calculations that have a product of $$-24$$
$$(-20)+(-4)$$
Correct answer: $$(-8)\times3$$
$$(-30)+6$$
$$(-9)\times3$$
Correct answer: $$4\times(-6)$$
Q4.
Work out: $$(-32)\div8=$$
Correct Answer: (-4), -4
Q5.
Select all the calculations that have an answer of $$-7$$
Correct answer: $$(-21)\div3=$$
$$(-54)\div9=$$
Correct answer: $$(-42)\div6=$$
Correct answer: $$(-63)\div9=$$
$$(-36)\div6=$$
Q6.
Match each multiplication calculation to a division calculation with the same answer.
Correct Answer:$$(-2)\times9$$,$$(-72)\div4$$

$$(-72)\div4$$

Correct Answer:$$2\times(-4)$$,$$(-64)\div8$$

$$(-64)\div8$$

Correct Answer:$$4\times(-5)$$,$$(-100)\div5$$

$$(-100)\div5$$

Correct Answer:$$(-4)\times3$$,$$(-36)\div3$$

$$(-36)\div3$$

6 Questions

Q1.
Select all the calculations which will have a negative answer.
$$(-42)\times(-23)$$
Correct answer: $$(-42)\times23$$
Correct answer: $$(42)\times(-23)$$
$$42\times23$$
Q2.
Work out: $$(-5)\times(-3)=$$
Correct Answer: 15
Q3.
Match each multiplication to the correct product.
Correct Answer:$$(-6)\times(-4)$$,$$24$$

$$24$$

Correct Answer:$$(-6)\times4$$,$$(-24)$$

$$(-24)$$

Correct Answer:$$3\times(-4)$$,$$(-12)$$

$$(-12)$$

Correct Answer:$$(-3)\times(-4)$$,$$12$$

$$12$$

Correct Answer:$$9\times2$$,$$18$$

$$18$$

Correct Answer:$$3\times(-6)$$,$$(-18)$$

$$(-18)$$

Q4.
Work out: $$(-28)\div(-4)=$$
Correct Answer: 7
Q5.
Select all the correct statements.
Correct answer: $$(-2)\times(-3)\times(-4)=(-24)$$
$$(-2)\times3\times4=24$$
$$(-1)\times(-2)\times(-3)\times(-4)=(-24)$$
Correct answer: $$(-1)\times(-2)\times(-3)\times(-4)=24$$
Q6.
Work out: $$(-144)\div(-2)\div3\div(-6)=$$
Correct Answer: (-4), -4