Multiplying by Powers of 10 To multiply a decimal number by a power of 10 in the form move...

Multiplying by Powers of 10 To multiply a decimal number by a power of 10 in the form

move the decimal point k places to the right. For example, 100 · 1.234 = 123.4. Simplify each given expression mentally.

(a) 1000 · 1.2345

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(b) 100 · (−5.1)

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(c) 45.67 · 1000

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(d) 0.567 · 10,000

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(e) 100 · 0.0005

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(f) −0.05 · 100,000