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order_of_operations.html
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order_of_operations.html
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<!DOCTYPE html>
<html data-require="math math-format">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Order of operations</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars" data-ensure="B + C !== 0 && (A < 0 || B < 0 || C < 0)">
<var id="A">randRangeNonZero(-10, 10)</var>
<var id="B">randRangeNonZero(-10, 10)</var>
<var id="C">randRangeNonZero(-10, 10)</var>
<var id="D">randRangeNonZero(-5, 5)</var>
<var id="E">randRangeNonZero(-5, 5)</var>
<var id="USE_PAREN">rand(2)</var>
</div>
<div class="problems">
<div id="order-of-operations">
<p class="question">Evaluate the following expression.</p>
<p class="problem">
<span data-if="USE_PAREN"><code><var>A</var> + (<var>B</var> \times <var>negParens(C)</var>)</code></span>
<span data-else=""><code><var>A</var> + <var>B</var> \times <var>negParens(C)</var></code></span>
</p>
<p class="solution" data-forms="integer"><var>A + B * C</var></p>
<div class="hints">
<p data-if="USE_PAREN"><code>= <var>A</var> + (<var>B * C</var>)</code></p>
<p><code>= <var>A</var> + <var>B * C</var></code></p>
<p><code>= <var>A + B * C</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code><var>A</var> \times (<var>B</var> + <var>negParens(C)</var>)</code>
</p>
<p class="solution" data-forms="integer"><var>A * (B + C)</var></p>
<div class="hints">
<p><code>= <var>A</var> \times <var>B + C</var></code></p>
<p><code>= <var>A * (B + C)</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<span data-if="USE_PAREN"><code><var>A</var> + \left(\dfrac{<var>B * C</var>}{<var>C</var>}\right)</code></span>
<span data-else=""><code><var>A</var> + \dfrac{<var>B * C</var>}{<var>C</var>}</code></span>
</p>
<p class="solution" data-forms="integer"><var>A + B</var></p>
<div class="hints">
<p data-if="USE_PAREN"><code>= <var>A</var> + (<var>B</var>)</code></p>
<p><code>= <var>A</var> + <var>B</var></code></p>
<p><code>= <var>A + B</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code>\dfrac{<var>A * (B + C)</var>}{<var>B</var> + <var>C</var>}</code>
</p>
<p class="solution" data-forms="integer"><var>A</var></p>
<div class="hints">
<p><code>= \dfrac{<var>A * (B + C)</var>}{<var>B + C</var> }</code></p>
<p><code>= <var>A</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code>(<var>A</var> + (<var>B</var> - <var>C</var> \times <var>negParens(D)</var>)) \times <var>negParens(E)</var></code>
</p>
<p class="solution" data-forms="integer"><var>(A + (B - (C * D))) * E</var></p>
<div class="hints">
<p><code>= (<var>A</var> + (<var>B</var> - <var>C * D</var>)) \times <var>negParens(E)</var></code></p>
<p><code>= (<var>A</var> + (<var>B - (C * D)</var>)) \times <var>negParens(E)</var></code></p>
<p><code>= (<var>A</var> + <var>B - (C * D)</var>) \times <var>negParens(E)</var></code></p>
<p><code>= (<var>A + (B - (C * D))</var>) \times <var>negParens(E)</var></code></p>
<p><code>= <var>A + (B - (C * D))</var> \times <var>negParens(E)</var></code></p>
<p><code>= <var>(A + (B - (C * D))) * E</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code><var>A</var> + (<var>B</var> + <var>C</var> \times <var>negParens(D)</var>) \times <var>negParens(E)</var></code></p>
<p class="solution" data-forms="integer"><var>A + ((B + (C * D)) * E)</var></p>
<div class="hints">
<p><code>= <var>A</var> + (<var>B</var> + <var>C * D</var>) \times <var>negParens(E)</var></code></p>
<p><code>= <var>A</var> + (<var>B + C * D</var>) \times <var>negParens(E)</var></code></p>
<p><code>= <var>A</var> + <var>(B + C * D) * E</var></code></p>
<p><code>= <var>A + (B + C * D) * E</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code><var>A</var> + <var>B</var> \times <var>negParens(C)</var> + \dfrac{<var>(D * E)</var>}{<var>E</var>}</code>
</p>
<p class="solution" data-forms="integer">
<var>A + B * C + D</var>
</p>
<div class="hints">
<p><code>= <var>A</var> + <var>B</var> \times <var>negParens(C)</var> + <var>D</var></code></p>
<p><code>= <var>A</var> + <var>B * C</var> + <var>D</var></code></p>
<p><code>= <var>A + B * C</var> + <var>D</var></code></p>
<p><code>= <var>A + B * C + D</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code><var>A</var> \times <var>negParens(B)</var> + <var>C</var> \times \dfrac{<var>(D * E)</var>}{<var>E</var>}</code>
</p>
<p class="solution" data-forms="integer">
<var>(A * B) + (C * D)</var>
</p>
<div class="hints">
<p><code>= <var>A</var> \times <var>negParens(B)</var> + <var>C</var> \times <var>negParens(D)</var></code></p>
<p><code>= <var>A * B</var> + <var>C</var> \times <var>negParens(D)</var></code></p>
<p><code>= <var>A * B</var> + <var>C * D</var></code></p>
<p><code>= <var>A * B + C * D</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<span data-if="USE_PAREN">
<code>(<var>A</var> + <var>B</var> \times <var>negParens(D)</var>) - <var>C</var> \times <var>negParens(E)</var></code>
</span><span data-else="">
<code><var>A</var> + <var>B</var> \times <var>negParens(D)</var> - <var>C</var> \times <var>negParens(E)</var></code>
</span>
</p>
<p class="solution" data-forms="integer"><var>A + B * D - C * E</var></p>
<div class="hints">
<p data-if="USE_PAREN"><code>= (<var>A</var> + <var>B * D</var>) - <var>C</var> \times <var>negParens(E)</var></code></p>
<p data-else=""><code>= <var>A</var> + <var>B * D</var> - <var>C</var> \times <var>negParens(E)</var></code></p>
<p><code>= <var>A</var> + <var>B * D</var> - <var>C * E</var></code></p>
<p><code>= <var>A + B * D</var> - <var>C * E</var></code></p>
<p><code>= <var>A + B * D - C * E</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem">
<code><var>A</var> - <var>negParens(B)</var>^2</code>
</p>
<p class="solution" data-forms="integer"><var>A - B * B</var></p>
<div class="hints">
<p><code>= <var>A</var> - <var>B * B</var></code></p>
<p><code>= <var>A - B * B</var></code></p>
</div>
</div>
<div data-type="order-of-operations">
<div class="vars" data-ensure="abs(B + C) < 11">
<var id="B">randRangeNonZero(-10, 10)</var>
<var id="C">randRangeNonZero(-10, 10)</var>
</div>
<p class="problem">
<code><var>A</var> - (<var>B</var> + <var>C</var>)^2</code>
</p>
<p class="solution" data-forms="integer"><var>A - (B + C) * (B + C)</var></p>
<div class="hints">
<p><code>= <var>A</var> - (<var>B + C</var>)^2</code></p>
<p><code>= <var>A</var> - <var>(B + C) * (B + C)</var></code></p>
<p><code>= <var>A - (B + C) * (B + C)</var></code></p>
</div>
</div>
</div>
</div>
</body>
</html>