<snapdata remixID="13006325"><project name="1920 U2L4 Math Mod Experiments" app="Snap! 9.0, https://snap.berkeley.edu" version="2"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><scenes select="1"><scene name="1920 U2L4 Math Mod Experiments"><notes></notes><hidden></hidden><headers></headers><code></code><blocks><block-definition s="Is %&apos;num1&apos; divisible by %&apos;num2&apos; ?" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doIfElse"><block s="reportVariadicEquals"><list><block s="reportModulus"><block var="num1"/><block var="num2"/></block><l>0</l></list></block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></block-definition><block-definition s="even? %&apos;num&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doIfElse"><custom-block s="Is %s divisible by %s ?"><block var="num"/><l>2</l></custom-block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></block-definition><block-definition s="odd? %&apos;num&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doIfElse"><custom-block s="Is %s divisible by %s ?"><block var="num"/><l>2</l></custom-block><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script></block></script></block-definition><block-definition s="integer? %&apos;num&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doIfElse"><custom-block s="Is %s divisible by %s ?"><block var="num"/><block s="reportRound"><block var="num"/></block></custom-block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></block-definition><block-definition s="number of divisors %&apos;num&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doSetVar"><l>number of divisors</l><l>0</l></block><block s="doHideVar"><l>number of divisors</l></block><block s="doFor"><l>i</l><l>1</l><block var="num"/><script><block s="doIf"><custom-block s="Is %s divisible by %s ?"><block var="num"/><block var="i"/></custom-block><script><block s="doChangeVar"><l>number of divisors</l><l>1</l></block></script><list></list></block></script></block><block s="doReport"><block var="number of divisors"/></block></script></block-definition></blocks><stage name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" id="115"><pentrails>data:image/png;base64,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</pentrails><costumes><list struct="atomic" id="116"></list></costumes><sounds><list struct="atomic" id="117"></list></sounds><variables></variables><blocks></blocks><scripts></scripts><sprites select="1"><sprite name="mod 3" idx="3" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="122"><costumes><list struct="atomic" id="123"></list></costumes><sounds><list struct="atomic" id="124"></list></sounds><blocks></blocks><variables></variables><scripts><script x="8" y="8"><block s="reportModulus"><l>1</l><l>3</l></block></script><script x="8" y="32"><block s="reportModulus"><l>2</l><l>3</l></block></script><script x="8" y="56"><block s="reportModulus"><l>3</l><l>3</l></block></script><script x="8" y="80"><block s="reportModulus"><l>4</l><l>3</l></block></script><script x="8" y="104"><block s="reportModulus"><l>5</l><l>3</l></block></script><script x="8" y="128"><block s="reportModulus"><l>6</l><l>3</l></block></script><script x="8" y="152"><block s="reportModulus"><l>7</l><l>3</l></block></script><script x="8" y="176"><block s="reportModulus"><l>8</l><l>3</l></block></script><script x="8" y="200"><block s="reportModulus"><l>9</l><l>3</l></block></script><script x="8" y="224"><block s="reportModulus"><l>10</l><l>3</l></block></script></scripts></sprite><sprite name="mod 4" idx="4" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="158"><costumes><list struct="atomic" id="159"></list></costumes><sounds><list struct="atomic" id="160"></list></sounds><blocks></blocks><variables></variables><scripts><script x="8" y="8"><block s="reportModulus"><l>1</l><l>4</l></block></script><script x="8" y="32"><block s="reportModulus"><l>2</l><l>4</l></block></script><script x="8" y="56"><block s="reportModulus"><l>3</l><l>4</l></block></script><script x="8" y="80"><block s="reportModulus"><l>4</l><l>4</l></block></script><script x="8" y="104"><block s="reportModulus"><l>5</l><l>4</l></block></script><script x="8" y="128"><block s="reportModulus"><l>6</l><l>4</l></block></script><script x="8" y="152"><block s="reportModulus"><l>7</l><l>4</l></block></script><script x="8" y="176"><block s="reportModulus"><l>8</l><l>4</l></block></script><script x="8" y="200"><block s="reportModulus"><l>9</l><l>4</l></block></script><script x="8" y="224"><block s="reportModulus"><l>10</l><l>4</l></block></script></scripts></sprite><sprite name="mod 5" idx="5" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="194"><costumes><list struct="atomic" id="195"></list></costumes><sounds><list struct="atomic" id="196"></list></sounds><blocks></blocks><variables></variables><scripts><script x="8" y="8"><block s="reportModulus"><l>1</l><l>5</l></block></script><script x="8" y="32"><block s="reportModulus"><l>2</l><l>5</l></block></script><script x="8" y="56"><block s="reportModulus"><l>3</l><l>5</l></block></script><script x="8" y="80"><block s="reportModulus"><l>4</l><l>5</l></block></script><script x="8" y="104"><block s="reportModulus"><l>5</l><l>5</l></block></script><script x="8" y="128"><block s="reportModulus"><l>6</l><l>5</l></block></script><script x="8" y="152"><block s="reportModulus"><l>7</l><l>5</l></block></script><script x="8" y="176"><block s="reportModulus"><l>8</l><l>5</l></block></script><script x="8" y="200"><block s="reportModulus"><l>9</l><l>5</l></block></script><script x="8" y="224"><block s="reportModulus"><l>10</l><l>5</l></block></script></scripts></sprite><sprite name="mod 2" idx="2" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="230"><costumes><list struct="atomic" id="231"></list></costumes><sounds><list struct="atomic" id="232"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="10"><block s="reportModulus"><l>1</l><l>2</l></block></script><script x="10" y="34"><block s="reportModulus"><l>2</l><l>2</l></block></script><script x="10" y="58"><block s="reportModulus"><l>3</l><l>2</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>2</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>2</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>2</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>2</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>2</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>2</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>2</l></block></script></scripts></sprite><sprite name="mod 1" idx="1" x="1001.0153846153853" y="0.9076923076922867" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="266"><costumes><list struct="atomic" id="267"></list></costumes><sounds><list struct="atomic" id="268"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10" y="58"><block s="reportModulus"><l>68</l><l>10</l></block></script><script x="10" y="82"><block s="reportModulus"><l>4</l><l>1</l></block></script><script x="10" y="106"><block s="reportModulus"><l>5</l><l>1</l></block></script><script x="10" y="130"><block s="reportModulus"><l>6</l><l>1</l></block></script><script x="10" y="154"><block s="reportModulus"><l>7</l><l>1</l></block></script><script x="10" y="178"><block s="reportModulus"><l>8</l><l>1</l></block></script><script x="10" y="202"><block s="reportModulus"><l>9</l><l>1</l></block></script><script x="10" y="226"><block s="reportModulus"><l>10</l><l>1</l></block></script><comment x="137.2" y="11.200000000000003" w="132" collapsed="false">There are mod blocks in each Sprite.&#xD;&#xD;Explore the blocks.  Click on them to see what they report.  &#xD;&#xD;Form a hypothesis about what the mod block reports.</comment><script x="363" y="113.16666666666674"><custom-block s="even? %s"><l>25</l></custom-block></script><script x="359" y="145.16666666666674"><custom-block s="odd? %s"><l>7</l></custom-block></script><script x="362" y="169.16666666666674"><custom-block s="integer? %s"><l>-8</l></custom-block></script><script x="344" y="214.16666666666674"><custom-block s="number of divisors %s"><l>6</l></custom-block></script><script x="385" y="29.166666666666742"><custom-block s="Is %s divisible by %s ?"><l>27</l><l>2</l></custom-block></script></scripts></sprite><watcher var="number of divisors" style="normal" x="10" y="10" color="243,118,29" hidden="true"/></sprites></stage><variables><variable name="number of divisors"><l>4</l></variable></variables></scene></scenes></project><media name="1920 U2L4 Math Mod Experiments" app="Snap! 9.0, https://snap.berkeley.edu" version="2"></media></snapdata>