Evaluate numerical expressions with rational numbers using the order of operations.
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This lesson reviews concepts from the prior unit and extends on 7.NS.A.3; Anchor Problems can be chosen based on what specific concept and/or skill work students need. Find more guidance on adapting our math curriculum for remote learning here.
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Evaluate the following numerical expressions.
$${-2(5+(3)(-2)+4)}$$
$${-2((5+3)(-2+4))}$$
$${-2(5+3(-2+4))}$$
Can the parentheses in any of these expressions be removed without changing the value of the expression?
Watch Out for Parentheses, accessed on Oct. 6, 2017, 2:16 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.An expression is shown below with three expressions that are not equivalent to it. Explain the error(s) that were made in writing each expression, then evaluate the expression.
$$\frac{6-3(4-8)}{2(1+2)^2}$$ | ||
$$\neq \frac{3(-4)}{2(3)^2}$$ | $$\neq \frac{6-3(-4)}{(6)^2}$$ | $$\neq \frac{6-12}{(2+4)^2}$$ |
Evaluate: $${\frac{1}{2}(-3-1)^2-\left ( 10 \div \frac{5}{6} \right )}$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Evaluate the expression below. For each successive expression you write, explain what you did to create an expression equivalent to the expression before.
$${\frac{2-3(4-6)^2}{\frac{1}{2}}}$$