express each of the following numbers using exponential notation (a) 1...
express each of the following numbers using exponential notation (a) 1...
Introduction:
Exponential notation is a way to express a number using a base and an exponent. The base represents the number being multiplied, and the exponent represents the number of times the base is multiplied by itself.
Exponential Notation:
To express the number 12,500 using exponential notation, we need to find a base and an exponent that, when multiplied together, equal 12,500.
Step 1:
Identify the largest power of 10 that is less than or equal to the given number. In this case, the largest power of 10 that is less than or equal to 12,500 is 10^4, which is 10,000.
Step 2:
Divide the given number by the power of 10 identified in Step 1. In this case, 12,500 divided by 10,000 is 1.25.
Step 3:
Express the result from Step 2 as a decimal. In this case, 1.25 is the decimal representation of the given number.
Step 4:
Express the decimal obtained in Step 3 using exponential notation. The base will be 10, and the exponent will be the number of decimal places.
Answer:
Therefore, the number 12,500 can be expressed in exponential notation as 1.25 x 10^4.