What are the steps to solve this problem please explain the steps in detail 0.000027÷0.000009
To solve the problem:
1. Write the problem in division form with long division symbols:
0.000027
÷ 0.000009
2. Identify the first digit in the dividend (the number being divided) that is larger than the divisor (the number doing the dividing). In this case, it is 2 (in 0.000027).
3. Divide the first digit in the dividend (the 2) by the divisor (0.000009). Place the quotient above the dividend and write the remainder to the right of the first digit in the dividend.
0.000027
÷ 0.000009
___
3
-
0.000018
4. Bring down the next digit in the dividend (7) to the right of the remainder obtained in step 3. This gives you 0.000187 as the new dividend.
5. Repeat step 2 to determine the first digit in the new dividend that is larger than the divisor. In this case, it is 1.
6. Divide the first digit (1) of the new dividend by the divisor (0.000009). Place the quotient (1) above the dividend and write the remainder (0.000008) to the right of the first digit in the dividend.
0.000027
÷ 0.000009
___
3 1
-
0.000018
0.000008
7. Bring down the next digit in the dividend (0) to the right of the remainder obtained in step 6. This gives you 0.000080 as the new dividend.
8. Repeat steps 2-7 until there are no more digits to bring down and the remainder is zero.
0.000027
÷ 0.000009
___
3 1 0 3
-
0.000018
0.000008
-------
0.000001
9. The answer is 3,103. Therefore, 0.000027 ÷ 0.000009 = 3,103.
Note: These steps are an example of long division with decimals. It is important to ensure that decimals are properly aligned when performing long division. Also, it is recommended to check the answer by performing the inverse operation (multiplying the quotient and divisor together to ensure that it equals the dividend).
To solve the division problem 0.000027 ÷ 0.000009, follow these steps:
Step 1: Write down the division problem: 0.000027 ÷ 0.000009.
Step 2: Identify the dividend and divisor:
Dividend: 0.000027 (the number being divided)
Divisor: 0.000009 (the number by which we divide)
Step 3: Move the decimal places:
To simplify the calculations, it's helpful to convert the numbers to whole numbers.
Since there are six decimal places in both numbers, you can multiply both the dividend and divisor by 1,000,000 (10^6) to remove the decimal places.
Dividend: 0.000027 × 1,000,000 = 27
Divisor: 0.000009 × 1,000,000 = 9
So, the division problem becomes 27 ÷ 9.
Step 4: Perform the division:
27 ÷ 9 = 3.
Step 5: Convert the result back to a decimal:
Since we moved the decimal point to the right by six places in step 3, we need to move it back by six places to get the answer in decimal form.
As a decimal, the result is 0.000003.