If two numbers are written in scientific notation. how can you tell which number is greater?

Where on a number line does the value of a positive number in scientific notation with a negative exponent lie?

The number with the greater coefficient and/or exponent is the greater number. n x 10^E where "n" is the coefficient, and "E" is the exponent.

examples: 1.23 x 10^21 > 1.23 x 10^20

Between zero and one

Hope this helps :)

Thanks :)

write this 2.2x10 to the 6 power

write 2.2x10 to the 6 power in decimal form

To compare two numbers written in scientific notation, you can focus on comparing their base values. In scientific notation, a number is written as the product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10 (known as the exponent).

To determine which number is greater:
1. Compare the coefficients of both numbers. The number with the larger coefficient is generally larger.
2. If the coefficients are the same, compare the exponents. If one exponent is larger than the other, the corresponding number is larger.

For example, consider the numbers 3.2 x 10^5 and 7.6 x 10^4.
Here, the coefficient of the first number (3.2) is smaller than the coefficient of the second number (7.6). Thus, the second number is greater.

When a positive number is written in scientific notation with a negative exponent, its value lies between 0 and 1 on a number line. The further the negative exponent, the smaller the value. As the exponent approaches negative infinity, the value gets closer to 0 on the number line.