Stretch Your Thinking Whether using the Place Nathe Method, or sections Method, the Expanded Notation Method, the same basic steps the Algebraic Notation Metho can be used to multiply a one-digit number by a three-digit number. Put these steps in order by numbering 1 through 3 . Add the partial products. Write the three-digit number in expanded form. Multiply the one-digit number by each of the values in expanded form.

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1. Write the three-digit number in expanded form.  
2. Multiply the one-digit number by each of the values in expanded form.  
3. Add the partial products.

For example, if you have a three-digit number $$ abc $$ (where $$ a $$, $$ b $$, and $$ c $$ represent the hundreds, tens, and ones digits respectively) and a one-digit number $$ d $$, then you would:

1. Express $$ abc $$ as $$ 100a + 10b + c $$.  
2. Compute the partial products: $$ d 	imes 100a $$, $$ d 	imes 10b $$, and $$ d 	imes c $$.  
3. Sum the partial products: $$ d 	imes 100a + d 	imes 10b + d 	imes c $$.
1. Write the three-digit number in expanded form. 2. Multiply the one-digit number by each part of the expanded form. 3. Add the results together.

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