This expression can be simplified by using two exponent rules. Since the exponent is positive 4, move the decimal four places to the right. To convert it to standard notation, move the decimal. It has two parts: a decimal number and an exponential term. The given number is written in scientific notation. Standard notation is the normal way of writing numbers in decimal form. To multiply the variables, use the power rule, (x a) b = x a.b.ħ. Multiply the coefficients and variables separately. To divide by a fraction, invert the fraction by switching the numerator and denominator. Therefore, the correct answer is 8 x 106.Ħ. Since the decimal point moves six places, the exponent becomes 6. Count the number of places the decimal point must move from its original place until it is between the 8 and the first 0. Since 8,000,000 is a very large number, the exponent will be positive. For a, use the first digits that are not zero and place the decimal after the first digit. A number written in scientific notation has two parts as shown below: a number a that is between 1 and 10 (excluding 10) and a power of ten.Įxamine the given number. Scientific notation is a way of conveniently writing numbers that are either very large or very small. Remember that subtracting a negative number is the same as adding its absolute value (the positive version).ĥ. Since the bases of the factors are the same, divide them by subtracting the exponents.
To divide the exponential terms, use the quotient rule. Keep in mind that the a in the numerator is equivalent to a1 because anything to the first power is itself.Ĥ. Next, there are two exponent rules that you can use to simplify the expression further: (1) you can distribute the exponents over each factor in the numerator and the denominator, and (2) you can use the power rule, (xa)b = xa.b. First distribute the exponent (the 3 outside the parentheses) over the numerator and denominator in the fraction. This expression can be simplified by using exponent rules. Since the bases of the factors are the same, multiply them by adding the exponents.ģ. To multiply the exponential terms, use the product rule, x a. Therefore, the correct answer is 7.8 x 10-5.Ģ. Since you move the decimal point five places, the exponent will be -5. Count the number of places you need to move the decimal point from its original place until it is between the 7 and the 8.
Since 0.000078 is a very small number, the exponent will be negative. Write 8,000,000 in scientific notation.ġ.
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