Final answer:
To divide 6 by 0.138, multiply both numbers by 1000 to get rid of the decimal, resulting in 6000 divided by 138, which equals approximately 43.47826.
Step-by-step explanation:
The question "6/ 0.138 show work") seems to have some typographical errors and it's a bit unclear, but it appears that the student might be asking how to divide 6 by 0.138, or possibly looking for the square root of 0.138, multiplied by 6. As the syntax for the square root is incorrect and incomplete, I will provide a solution for the division:
To divide 6 by 0.138, you can follow these steps:
- Position the divisor 0.138 and the dividend 6 in the long division format.
- Since 0.138 is less than 1, you can simplify the calculation by multiplying both the divisor and dividend by 1000 to get rid of the decimal place. So, 0.138 becomes 138, and 6 becomes 6000.
- Now, perform the division: 6000 divided by 138.
- When you divide 6000 by 138, you get approximately 43.47826, which can be rounded depending on the required precision.
The result of the division of 6 by 0.138 is approximately 43.47826.