For a number N, let N* represent the number with its digits reversed.
If a is a palindrome, prove that it is possible to write N in an #explodingdots way so that
a x N* = (a x N)*
(The product of a palindrome with a number and with its reverse are also reverses.)
Multiply a number and its reverse by 81.
Prove that the two products can be written in an #explodingdots way so that they are the reverse of each other!
“Follow the child” can be as easy as helping them go down the rabbit holes of their own choosing.
6yo wanted to know how computers worked so we did some research. He was curios about binary so we pulled up Exploding Dots by @jamestanton.
In <1h he was converting binary to decimal.
Every number leaves the same remainder upon division by 9 as does the sum of its digits.
E.g. 1213 is 7 more than a mult of 9, as is 1 2 1 3
87 is 6 more, as is 8 7
109 is 1 more, as is 1 0 9
Can you use #explodingdots to explain this rule?
Global Math Week continues! #gmw2024
In this lopsided Δ each entry sum of the two numbers above, right number doubled.
Interpret each row as a number the #explodingdots way.
Select any two of these nmbrs and divide. Why is the result sure to be another nmbr in the list?
(Other Δ patterns?)
globalmathproject.org
Number Δ:
Each entry = sum of the three numbers above (the one directly above & its two neighbors). Interpret each row as a number the #explodingdots way.
Select any two of these nmbrs. Divide them. Why is the result sure to be another nmbr in the list?
globalmathproject.org/
Visit @PolyPad_App to use an #ExplodingDots tile for Global Math Week. (#gmw2024 started today!)
And there is more!
Try out free @desmosclassroom lessons on the magic of place value (base 10, base x, & beyond!) using this awesome tile!
All details here:
youtube.com/watch?v=osDBibKM…
Regard entries of the famous arithmetic triangle as numbers the #explodingdots way. Take any two of those numbers & divide them. Why is the answer sure to be another number in the list?
It's Global Math Week, by the way!
Enjoy #explodingdots and share!
globalmathproject.org/