Express 8.75 in standard form
Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
1.98 ✕ 10¹³; 0.76 ✕ 10¹³ are examples of numbers in standard form.
To express 8.75 in standard form, we need to rewrite it using the standard notation where there is one digit before the decimal point.
Step 1: Identify the decimal point in the given number.
The decimal point is located after the digit 8 and before the digit 7.
Step 2: Rewrite the number without the decimal point.
8.75 can be written as 875 by removing the decimal point.
Step 3: Determine the power of 10 needed.
In this case, since there are two digits after the decimal point, we need to multiply 875 by 10 raised to the power of -2.
Step 4: Rewrite the number in standard form.
8.75 in standard form is 8.75 = 875 × 10^(-2).
Note: In standard form, the power of 10 will be positive if the original number is greater than 1 and negative if the original number is between 0 and 1.
To express 8.75 in standard form, we want to rewrite the number using scientific notation.
Standard form is when a number is written as a decimal number between 1 and 10 multiplied by a power of 10.
To convert 8.75 to standard form, we can count the number of decimal places. In this case, there are two decimal places.
Then, we move the decimal point two places to the left to get a number between 1 and 10.
When we move the decimal point two places to the left, we get 0.0875.
Finally, we write this number in scientific notation by expressing it as 8.75 x 10^-1.
So, 8.75 in standard form is 8.75 x 10^-1.