Replacement
Consider these expressions:
\( 7+8 \)
\( 8+7 \)
\( 7-8 \)
\( 8-7 \)
\( 7*8 \)
\( 8*7 \)
\( 7÷8 \)
\( 8÷7 \)
If you were to replace the \( 8 \)'s with \( 3+5 \), in which expressions would you need brackets around the \( 3+5 \)?
What if you replace \( 8 \) with \( 2*4 \), or with \( 2^3 \)?
I think this might be an interesting activity. Consider these expressions: 7+8, 8+7, 7-8, 8-7, 7*8, 8*7, 7÷8, 8÷7.If you were to replace the 8's with 3+5, in which expressions would you need brackets around the 3+5? What if you replace 8 with 2*4, or with 2^3?
— David Butler (@DavidKButlerUoA) September 17, 2020