- When you move the decimal point to the right, you decrease the value of the exponent in the power of 10.
- When you move the decimal point to the left, you increase the value of the exponent in the power of 10.
(1) 1200 = 1.2 x 103 - The original decimal value is divided by 1000, so the coefficient of 1.2 has to be multiplied by 1000, or 103.
- The decimal point is moved three places to the left and the exponent is increased by three.
(2) 439 = 4.39 x 102 - The original decimal value is divided by 100, so the coefficient of 4.39 has to be multiplied by 100, or 102.
- The decimal point is moved two places to the left and the exponent is increased by two.
(3) 1635.8 = 1.6358 x 103 - The original decimal value is divided by 1000, so the coefficient of 1.6358 has to be multiplied by 1000, or 103.
- The decimal point is moved three places to the left and the exponent is increased by three.
(4) 0.025 = 2.5 x 10–2 - The original decimal value is multiplied by 100, so the coefficient of 2.5 has to be divided by 100, or 10–2.
- The decimal point is moved two places to the right and the exponent is decreased by two.
(5) 0.000168 = 1.68 x 10–4 - The original decimal value is multiplied by 10,000, so the coefficient of 1.68 has to be divided by 10,000, or 10–4.
- The decimal point is moved four places to the right and the exponent is decreased by four.
(6) 1200 x 106 = 1.2 x 109 - The decimal point is moved three places to the left and the exponent is increased by three.
6) 0.934 x 1012 = 9.34 x 1011 - The decimal point is moved one places to the right and the exponent is decreased by one.
(7) 0.002 x 10–9 = 2.0 x 10–6 - The decimal point is moved three places to the right and the exponent is decreased by three.
(8) 1899405 x 10-4 = 1.89945 x 102 - The decimal point is moved six places to the left and the exponent is increased by six.
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