The miles of track in the U.S. railroad system peaked in the early 1900s. At that time, more than 270,000 miles of track crisscrossed the country. What is the approximate amount of track written in scientific notation?Choices:(A) 3×104 miles(B) 3×105 miles(C) 3×106 miles(D) 3×107 miles
Q. The miles of track in the U.S. railroad system peaked in the early 1900s. At that time, more than 270,000 miles of track crisscrossed the country. What is the approximate amount of track written in scientific notation?Choices:(A) 3×104 miles(B) 3×105 miles(C) 3×106 miles(D) 3×107 miles
Identify track length: We got 270,000 miles of track. To write this in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
Move decimal point: Move the decimal point in 270,000 so it's after the first non-zero digit. That's 2.7. Now count how many places we moved the decimal. That's 5 places.
Express in scientific notation: So, 270,000 is 2.7 times 10 to the power of 5, but we need it to be a number times 10, so we round 2.7 to 3 to match the choices given.
More problems from Volume of cubes and rectangular prisms: word problems