Question

Given two numbers x and y, where y = 3.10³, what is the value of y?

1) 3.1
2) 31
3) 310
4) 3100

Answer 1

The value of y is 3100.

Step-by-step explanation:

The value of y is 3.103. To understand this, we need to think about powers of 10. When we have a number in the form a x 10b, it means that a is multiplied by 10 raised to the power of b. In this case, y = 3.103 means that 3.10 is multiplied by 10 raised to the power of 3. So, if we simplify it, we have 3.10 x 10 x 10 x 10, which equals 3.10 x 1000 = 3100. Therefore, the value of y is 3100, which corresponds to option 4) in the given choices.

Answer 2

The value of y is 3100, as 10³ denotes multiplication by 1000. Therefore, 3.1 multiplied by 1000 equals 3100. So, the correct answer is 4) 3100.

Step-by-step explanation:

The student's question is asking to clarify the value of y when given that y = 3.10³.

The scientific notation 10³ signifies the number 10 raised to the power of 3, which equals 1000.

Therefore, to determine the value of y, we simply multiply the base number 3.1 by 10 three times, or 1000, to get the value. Multiplying 3.1 by 1000 yields 3100.

Thus, the correct choice from the given options is 4) 3100.

Scientific notation is a way of expressing numbers that are very large or very small in a concise and standardized format. In scientific notation, a number is represented as the product of two components