To multiply decimals by 10, 100, and 1000, use place value labels. Write the digits of the decimal using place value labels. Start with the first non-zero digit.

Within the 'hundredths' column there are four '0.01' counters. Within the 'thousandths' column there are five 0.001 counters. Underneath the place value table the decimal 0.345 is present., ...