Multiply decimals using strategies, and develop an understanding of the standard algorithm.
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If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 2 or 3 (benefit from worked examples) and Anchor Problem 4 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.
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Use partial products to calculate the product of $${12.6 × 4.8}$$.
For the two problems below, use estimation to determine the product without calculating it exactly.
For the two problems below, use estimation to determine where the decimal point is located in each product.
Consider the multiplication problem: $${24 × 3=72}$$.
Now consider the problem: $${24 × 0.3}$$.
Using properties of operations, it can be written as: $${24 \times (3 \times 0.1) = (24 × 3) \times 0.1=7.2}$$
Rewrite the following multiplication problems like the one above to determine each product.
Describe what you notice. What is the relationship between a whole number multiplication problem and a decimal multiplication problem with the same digits? Why does this make sense?
Given the multiplication problem $${{52.83 \times 2.6}}$$
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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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Given the multiplication problem: $${9.36 × 4.22 }$$
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