Final answer:
To write a number with a single digit times an integer power of 10 in standard form, move the decimal point according to the exponent: to the right for positive powers and to the left for negative powers.
Step-by-step explanation:
To write a number expressed as a single digit times an integer power of 10 in standard form, you will move the decimal point to the right or left based on the exponent. For positive integer powers of 10, such as 10³ (= 1,000), you move the decimal point to the right. For instance, if the number is 3 × 10³, in standard form it would be 3,000 because you move the decimal three places to the right. For negative integer powers of 10, such as 10⁻⁴ (= 0.0001), you move the decimal point to the left. If the number is 7 x 10⁻⁴, in standard form, it would be 0.0007, as the decimal moves four places to the left. Remember that the exponent indicates the number of times you multiply by 10 (for positive exponents) or by 0.1 (for negative exponents). For example, 5.6 × 10² means you are effectively multiplying 5.6 by 10 twice, which gives you 560 when written in standard form.