Example Question - decimal point
Here are examples of questions we've helped users solve.
Converting a Number to Scientific Notation
The number 725,000,000 can be written in scientific notation by placing the decimal point after the first non-zero digit and then counting how many places the decimal has moved. This number is written as \( 7.25 \times 10^n \), where \( n \) is the number of places the decimal moved. For the number 725,000,000, the decimal point moves 8 places to the left to get from 725,000,000.0 to 7.25. Therefore, the number 725,000,000 would be written in scientific notation as: \[ 7.25 \times 10^8 \]
Decimal Division Solution with Long Division Method
To solve the division problem 0.07324 ÷ 0.893 provided in the image, you can follow these steps: 1. Move the decimal point in the divisor (0.893) to the right until it becomes a whole number (893). Remember, you also have to move the decimal point in the dividend (0.07324) the same number of places to the right to keep the division problem equivalent. 2. After moving the decimal point three places to the right in both the dividend and the divisor, the problem becomes 73.24 ÷ 893. Now you can use long division to divide 73.24 by 893: ```plaintext 0.082 -------- 893 | 73.240 - 0 -------- 7324 -7144 -------- 1800 -1786 -------- 140 ``` The quotient is approximately 0.082 when rounded to three decimal places.
Converting Decimal to Scientific Notation
To express the number 0.0736 in scientific notation, you need to rewrite it as a product of a number between 1 and 10 and a power of 10. Move the decimal point so that there is one non-zero digit to the left of the decimal. For the number 0.0736, you move the decimal two places to the right to get 7.36. This is the number between 1 and 10. Now, record the number of places you moved the decimal point as a negative exponent of 10 (because the original number is less than 1). Since you moved the decimal two places, the exponent will be -2. So, the number 0.0736 in scientific notation is: \[7.36 \times 10^{-2}\]
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