Order of Operations with Exponents, step by step
The order never changes. Exponents sit second, above multiplication.
- BRACKETSInnermost first, working outwards.
- EXPONENTSPowers and roots, before any multiplying.
- MULTIPLY AND DIVIDEEqual rank — left to right, whichever comes first.
- ADD AND SUBTRACTEqual rank — left to right.
worked: 4 + 3 × 2³
- 2³ = 8 first
- 3 × 8 = 24
- 4 + 24 = 28 (not 56)
8 ÷ 2 × 4 = 16, not 1. × and ÷ share a rank, so it is strictly left to right.
Questions about the Order of Operations with Exponents poster
- What’s on the Order of Operations with Exponents poster?
- 4 numbered steps, with a full worked run-through. The order never changes. Exponents sit second, above multiplication. BRACKETS — Innermost first, working outwards.; EXPONENTS — Powers and roots, before any multiplying.; MULTIPLY AND DIVIDE — Equal rank — left to right, whichever comes first.; ADD AND SUBTRACT — Equal rank — left to right.. 8 ÷ 2 × 4 = 16, not 1. × and ÷ share a rank, so it is strictly left to right.
- Who is the Order of Operations with Exponents poster for?
- Order of Operations with Exponents is filed under 6th Grade (ages 11–12), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
- When should you use the Order of Operations with Exponents poster?
- Exponents come before multiplying. That is the step people skip. A wall chart earns its place by being glanceable from where the work is happening, so Order of Operations with Exponents belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Order of Operations with Exponents?
- The Three Percent Questions, Absolute Value and Adding Integers sit alongside Order of Operations with Exponents in the 6th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Three Percent QuestionsAbsolute ValueAdding Integers
- Is the Order of Operations with Exponents poster free to download and print?
- Yes. Order of Operations with Exponents downloads as a free PDF with no account, no email and no watermark, like everything else in the 6th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Order of Operations with Exponents poster print at?
- Order of Operations with Exponents is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Order of Operations with Exponents loses nothing.Printing guide
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