Problem 72
Question
Write each number in decimal notation without the use of exponents. $$6.8 \times 10^{-1}$$
Step-by-Step Solution
Verified Answer
The decimal notation of \(6.8 \times 10^{-1}\) without the use of exponents is \(0.68\).
1Step 1: Understand negative exponent
A negative exponent, such as \(-1\), means that the base number is divided by the power of 10 the exponent represents. In other words, \(6.8 \times 10^{-1}\) is equivalent to \(6.8 ÷ 10\).
2Step 2: Perform the division
Performing this division moves the decimal point in \(6.8\) one place to the left. This is because we are dividing by 10.
3Step 3: Present final answer
After moving the decimal point one place to the left, the result is \(0.68\). This is the decimal representation of the number without using exponents.
Other exercises in this chapter
Problem 72
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Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. \(-26\) and \(-3\)
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Factor completely, or state that the polynomial is prime. $$ 2 x^{2}-2 x-112 $$
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