Write the number 0.023 in scientific notation.
2.3 x 10^-2
To write the number 0.023 in scientific notation, follow these steps:
Step 1: Determine the coefficient
- The coefficient is the non-zero digits of the number, in this case, 2 and 3.
Step 2: Determine the exponent
- The exponent is the power of 10 that should be multiplied by the coefficient to obtain the original number.
- In this case, since 0.023 is less than 1, the exponent will be negative.
- Count the number of places you need to move the decimal point to the right to make the number between 1 and 10.
- In this case, you need to move the decimal point two places to the right, resulting in 0.023 becoming 2.3.
Step 3: Write the scientific notation
- The scientific notation for 0.023 is 2.3 × 10^(-2).
Therefore, the number 0.023 in scientific notation is 2.3 × 10^(-2).
To write a number in scientific notation, we need to express it as a decimal number multiplied by a power of 10. Here's how you can write the number 0.023 in scientific notation:
Step 1: Determine the non-zero digits.
In this case, we have two non-zero digits, 2 and 3.
Step 2: Move the decimal point to the right until you have a single non-zero digit on the left side of the decimal point.
For 0.023, we need to move the decimal point two places to the right.
0.023 is equivalent to 0.023 × 10^0.
Step 3: Write the number in the form of a × 10^n.
For 0.023, we can rewrite it as 2.3 × 10^-2.
Therefore, 0.023 in scientific notation is 2.3 × 10^-2.