Divide one whole number by another on your calculator. If the answer has one digit repeated but no other digits you have a "Noodlewhack".
1 0 ÷
3 = 3.3333333 
1 1 1
÷ 5 = 22.2 
1 0 ÷
9 = 1.1111111 
1 9 8
÷ 4 5
= 4.4 
Topics: Starter  Arithmetic  Calculator  Decimals
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The name of this starter is based on Googlewhack.
Type two words into the Google search engine. If Google comes back with only one
hit, you have a Googlewhack.
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=January3 However it would be better to assign one of the student interactive activities below. 

Here is the URL which will take them to a related student activity.
Transum.org/go/?to=DividesExactly