Question

The number 1.23 × 10^(-3) is written in standard notation as 0.0123.
a. True
b. False

Answer 1

The statement is false; 1.23 × 10^(-3) in standard notation is 0.00123.

Step-by-step explanation:

The number 1.23 × 10^(-3) written in standard notation is 0.00123, not 0.0123. Therefore, the statement is false.

To convert from scientific notation to standard notation, you move the decimal point to the left if the exponent is negative or to the right if the exponent is positive, according to the value of the exponent. In this case, the exponent is -3, which means we move the decimal point 3 places to the left.

Here's the step-by-step conversion:

1. Start with the scientific notation: 1.23 × 10^(-3).
2. Since the exponent is -3, move the decimal point in the number 1.23 three places to the left.
3. After moving the decimal point, the number becomes: 0.00123