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Lesson · Grade 7 · Mathematics

Order of Operations with Integers and Brackets

  • Grade 7
  • Mathematics
  • 1 min 1 s
  • British Columbia
  • BC7-MA-14

The video works out −8 + 3 × (2 − 6) one line at a time. A panel beside the working shows the order to follow: brackets first, then multiplying and dividing, then adding and subtracting. It finds 2 − 6 = −4, then 3 × (−4) = −12, then −8 + (−12) = −20, pointing out that multiplying comes before adding even though the plus sign comes first, and ends on a one-line recap of the order.

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In one sentence

The question this lesson answers

What is negative 8 plus 3 times, in brackets, 2 minus 6?

When there is more than one operation, we follow a set order.

Transcript

What the lesson says

What is negative 8 plus 3 times, in brackets, 2 minus 6?

When there is more than one operation, we follow a set order.

First, work out what is inside the brackets.

Next, multiply and divide, from left to right.

Last, add and subtract, from left to right.

Start with the brackets, where 2 minus 6 is negative 4.

The plus sign comes first, but multiplying comes before adding.

So next, 3 times negative 4 is negative 12.

Last, negative 8 plus negative 12 is negative 20.

So negative 8 plus 3 times, in brackets, 2 minus 6, equals negative 20.

Remember: brackets first, then multiply and divide, then add and subtract.

Curriculum

Where this fits

British Columbia, Grade 7

Mathematics, Number: operations with integersBC7-MA-14

Previous: Dividing integersNext: 3.75 + 8.6

The outcomes and strands follow the British Columbia curriculum.

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