Students notice that multiplying by 1,000 is the same as multiplying by 10 × 10 × 10. Since each factor of 10 shifts the digits one place to the left, multiplying by 10 × 10 × 10—which can be recorded in exponential form as 103 —shifts the position of the digits to the left 3 places, thus changing the digits’ relationships to the decimal point.
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From EngageNY.org of the New York State Education Department. Grade 5 Mathematics Module 1, Topic A, Lesson 1.
Available from engageny.org/resource/grade-5-mathematics-module-1-topic-lesson-1; accessed 2015-05-29.
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