Question

Translate to standard form...
6.12 x 105

Answer 1

The expression 6.12 x 10^5 in standard form translates to 612000, which is achieved by moving the decimal point 5 places to the right as indicated by the exponent.

Step-by-step explanation:

The student has asked to translate the expression 6.12 x 105 into standard form. To do this, we need to understand that the exponent in scientific notation indicates how many times we need to move the decimal point. For 6.12 x 105, the exponent of 5 tells us to move the decimal point 5 places to the right.

Here's a step by step breakdown:

1. Start with the number in scientific notation: 6.12.
2. Move the decimal point 5 places to the right, as indicated by the exponent: 612000.
3. Fill in any empty spaces caused by moving the decimal with zeros.

Therefore, 6.12 x 105 in standard form is 612000. Scientific notation is a useful tool for expressing very large or very small numbers in a more manageable form, using powers of ten.