Question
How to write a division problem using scientific notation
Answers
GPT 3.5
To write a division problem using scientific notation, follow these steps:
Step 1: Write down the numbers you want to divide in scientific notation. A number in scientific notation is written as a decimal number between 1 and 10 multiplied by a power of 10.
For example, let's divide 4.5 x 10^6 by 3.2 x 10^2.
Step 2: Rewrite the division problem in standard notation (not scientific notation). In this case, the standard notation for the numbers would be 4,500,000 divided by 320.
Step 3: Perform the division in standard notation. Divide 4,500,000 by 320 to find the quotient.
Step 4: Convert the quotient back into scientific notation. To convert it, determine the decimal point's position by counting the number of decimal positions the original quotient has moved compared to the original dividend.
In our example, the quotient is 14,062.5 (after dividing 4,500,000 by 320). The decimal point has moved four places to the left.
Step 5: Convert the decimal quotient into scientific notation. To do this, move the decimal point four places to the left, and the power of 10 becomes positive since the original quotient was greater than 1.
The final answer would be 1.40625 x 10^4.
So, the division problem using scientific notation is 4.5 x 10^6 ÷ 3.2 x 10^2 = 1.40625 x 10^4.
Step 1: Write down the numbers you want to divide in scientific notation. A number in scientific notation is written as a decimal number between 1 and 10 multiplied by a power of 10.
For example, let's divide 4.5 x 10^6 by 3.2 x 10^2.
Step 2: Rewrite the division problem in standard notation (not scientific notation). In this case, the standard notation for the numbers would be 4,500,000 divided by 320.
Step 3: Perform the division in standard notation. Divide 4,500,000 by 320 to find the quotient.
Step 4: Convert the quotient back into scientific notation. To convert it, determine the decimal point's position by counting the number of decimal positions the original quotient has moved compared to the original dividend.
In our example, the quotient is 14,062.5 (after dividing 4,500,000 by 320). The decimal point has moved four places to the left.
Step 5: Convert the decimal quotient into scientific notation. To do this, move the decimal point four places to the left, and the power of 10 becomes positive since the original quotient was greater than 1.
The final answer would be 1.40625 x 10^4.
So, the division problem using scientific notation is 4.5 x 10^6 ÷ 3.2 x 10^2 = 1.40625 x 10^4.