Convert the following number to scientific notation: 71,000,000,000
what is 7.1E10 ?
To convert the number 71,000,000,000 to scientific notation, follow these steps:
Step 1: Identify the decimal point position:
Count the number of digits to the left of the decimal point. In this case, there are 11 digits to the left of the decimal point.
Step 2: Determine the exponent:
Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of times you moved the decimal point. In this case, you need to move it 11 places to the left.
Step 3: Write the number in scientific notation:
The number 71,000,000,000 can be expressed in scientific notation as 7.1 x 10^10.
So, 71,000,000,000 = 7.1 x 10^10 in scientific notation.
To convert a number to scientific notation, you need to express the number as a decimal multiplied by a power of 10.
Let's look at the number 71,000,000,000.
Step 1: Count the number of zeros in the original number. In this case, there are 10 zeros present.
Step 2: Write the original number without any commas. So, 71,000,000,000 becomes 71000000000.
Step 3: Determine the decimal form of the number by moving the decimal point to the left or right until there is only one non-zero digit on the left side. In this case, we need to move the decimal point 10 places to the left, which means we divide the number by 10 raised to the power of 10.
71000000000 ÷ 10^10 = 7.1
Step 4: Write the result from Step 3, followed by "x 10^" and the number of places you moved the decimal point in Step 3. In this case, the decimal point was moved 10 places to the left.
The scientific notation representation of 71,000,000,000 is 7.1 x 10^10.