BODMAS

Prints

School mathematics refresher: when faced with a calculation that looks like it could be tackled multiple ways, use BODMAS to help clear it up (See PEMDAS at the end).

BODMAS is an acronym (as opposed to an initialism) that tells you the order of operations to tackle in a calculation.

BODMAS stands for Brackets, Order/Indices, Division, Multiplication, Addition, and Subtraction. So in 2 + 4 x 2 you don't end up with 6 x 2 = 12 but instead, 2 + 8 = 10

BODMAS is generally built into calculators (you can search 2 + 4 x 2 in Google to see). If you need additions or subtractions to be carried out first you can surround them in brackets eg (2 + 4) x 2

I always learned it as BODMAS, but many people told me they learned this as PEMDAS. The idea is the same just the words are different, and the ordering of Division and Multiplication, which are interchangeable:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

Published 22 Aug 2021

A weekly sketch by email

Learn something new in a sketch each Sunday

Sketchplanations in a book! I think you'll love Big Ideas Little Pictures

Prefer to listen?
Try the podcast

Like Sketchplanations?
Support me on Patreon

Keep exploring

The Writer's in the Writing. The Artist's in the Art.

What is Naismith's Rule for calculating walking time in the mountains example explained with a mountain ridge with hikers and lines for the horizontal distance and time and ascent and time

Naismith's Rule for mountain hiking time

Goodhart's law illustration showing a manager frustrated by 1000's of tiny nails when measuring on number of nails made, and pulling their hair out when presented with giant nails when measuring on weight

Goodhart’s Law: when a measure becomes a target, it ceases to be a good measure.

Bloom's Taxonomy

Isometric projection

Plogging

Every creation is a mirror, reflecting something of its creator. If you and I were to paint the same subject, your painting would reflect some of you, and mine would reflect some of me. If we both write stories, each one will carry something of ourselves—our personality, our experiences. The writer is in the writing. The artist is in the art. The musician's in the music. Take writing as an example. If we're writing authentically, we can't help but share a bit of ourselves in our work. Our past experiences affect what we notice. Our timidity or confidence is reflected in the tone and style. Our education in the choice of words. Our kindness and patience, or cynicism and frustration, is revealed to the reader. And the choice of what you write or paint reflects you. Not if we're trying too hard. Not if we're writing to sound like a writer or if we're adopting a "literary" style because we think that's how it should be done. And not if we focus more on pleasing a search engine or ticking off marketing goals than connecting with readers. But if we write honestly and directly, the writer shows through. The Third Dimension This phrasing hit me while reading Brenda Ueland's book If You Want to Write. She calls the writer the Third Dimension. I believe she means that when you read a book, there are the characters, the reader, and also, inescapably, the writer's personality. She writes that readers can tell when writing isn't authentic, when it's not really you, but instead, a performance to meet someone else's expectations of how one should write—or perhaps a creation of an AI's sycophantic personality. The presence of the writer in the writing, or the artist in the art, leads Ueland to say, "…I have come to think the only way to become a better writer is to become a better person." I believe this principle also holds true across other creative disciplines, though I thought "the cook is in the cooking" didn't quite have the same ring. Still, it holds a ring of truth if I consider a musician and their music, an entrepreneur and their business, a podcaster and their podcast and others. It's hard to write this without wondering what I'm sharing about myself (and what gets scrubbed out and cleansed by Grammarly proofreading). In Sketchplanations as a project, I've come to think that sooner or later, everything I know of value will be there. So, in some way, the whole thing reflects me. Shall we go for a beer? Also see: How to speak plainly The first draft is always perfect The best writing is re-writing Short words are best Micro-editing redundant words Everyone's a geek about something Happy talk must die More sketches about writing — it always surprises me, for a designer and product developer, how many I have. 35 at last count. Here are images for each alone in case you're more one than the other: The writer's in the writing - solo The artist's in the art In addition to prints of this sketch, I added an individual print of the writer's in the writing and an individual print of the artist's in the art.…Every creation is a mirror, reflecting something of its creator. If you and I were to paint the same subject, your painting would reflect some of you, and mine would reflect some of me. If we both write stories, each one will carry something of ourselves—our personality, our experiences. The writer is in the writing. The artist is in the art. The musician's in the music. Take writing as an example. If we're writing authentically, we can't help but share a bit of ourselves in our work. Our past experiences affect what we notice. Our timidity or confidence is reflected in the tone and style. Our education in the choice of words. Our kindness and patience, or cynicism and frustration, is revealed to the reader. And the choice of what you write or paint reflects you. Not if we're trying too hard. Not if we're writing to sound like a writer or if we're adopting a "literary" style because we think that's how it should be done. And not if we focus more on pleasing a search engine or ticking off marketing goals than connecting with readers. But if we write honestly and directly, the writer shows through. The Third Dimension This phrasing hit me while reading Brenda Ueland's book If You Want to Write. She calls the writer the Third Dimension. I believe she means that when you read a book, there are the characters, the reader, and also, inescapably, the writer's personality. She writes that readers can tell when writing isn't authentic, when it's not really you, but instead, a performance to meet someone else's expectations of how one should write—or perhaps a creation of an AI's sycophantic personality. The presence of the writer in the writing, or the artist in the art, leads Ueland to say, "…I have come to think the only way to become a better writer is to become a better person." I believe this principle also holds true across other creative disciplines, though I thought "the cook is in the cooking" didn't quite have the same ring. Still, it holds a ring of truth if I consider a musician and their music, an entrepreneur and their business, a podcaster and their podcast and others. It's hard to write this without wondering what I'm sharing about myself (and what gets scrubbed out and cleansed by Grammarly proofreading). In Sketchplanations as a project, I've come to think that sooner or later, everything I know of value will be there. So, in some way, the whole thing reflects me. Shall we go for a beer? Also see: How to speak plainly The first draft is always perfect The best writing is re-writing Short words are best Micro-editing redundant words Everyone's a geek about something Happy talk must die More sketches about writing — it always surprises me, for a designer and product developer, how many I have. 35 at last count. Here are images for each alone in case you're more one than the other: The writer's in the writing - solo The artist's in the art In addition to prints of this sketch, I added an individual print of the writer's in the writing and an individual print of the artist's in the art.

Newer

RRandom

Older