Problem 81

Question

Write each number in scientific notation. $$-5716$$

Step-by-Step Solution

Verified
Answer
\(-5.716 \times 10^3\)
1Step 1: Identify the number
The number given is -5716.
2Step 2: Move the decimal point
Initially, the decimal point for the number -5716 is at the end, i.e. -5716.0. To get a number between 1 and 10 (including 1), the decimal point needs to be moved 3 places to the left. While doing this remember to keep the number negative, i.e. -5.716.
3Step 3: Count the number of places the decimal point moved
The decimal point was moved 3 places to the left.
4Step 4: Write the number in scientific notation
The number is written as -5.716 multiplied by 10 to the power of the number of places moved which is 3. So the number in scientific notation is \(-5.716 \times 10^3\).