Question

To make a 1, which of the following options should be chosen?

1) 0.1
2) 1
3) 10
4) 100

Answer 1

To make a 1, option 2) which is 1 or 1x10^0 should be selected because any number raised to the power of 0 equals 1.

Step-by-step explanation:

The question presented requires us to determine which of the following options equals 1. Let's examine each option using the concept of integer powers of 10:

• 0.1 is also written as 1x10-1, which is not equal to 1.
• 1 is simply 1x100, which is equal to 1 since any non-zero number raised to the power of 0 is 1.
• 10 is 1x101, which is equal to 10, not 1.
• 100 is 1x102, which equals 100, again not 1.

Therefore, to make a 1, option 2) which is 1 or 1x100 should be chosen. It directly represents the number 1, with the zeros acting as placekeepers indicating the decimal point.

Additionally, understanding that the exponent or power of 10 is equal to the number of places the decimal is shifted can help in such problems. For instance, a number like 0.01 being less than 1 can be written as 1x10-2.