Write the steps to solve the following problem. Explain your steps as you solve it. What are the steps to show the quotient in simplest form? Be sure to include various key words you learned in this unit.
0.000027÷0.000009
1. Write each number in scientific notation:
27*10^-6/9*10^-6.
2. Divide 9 by 9 and divide 27 by 9:
3*10^-6/1*10^-6,
3. Subtract exponent tn denominator from exponent in numerator:
3*10^0 = 3.
M. H. P.,
What is 27 ÷ 9?
Continue from there, explaining how you got that answer and why it's correct. And don't forget to include some key words in the unit you're working on!
To solve the problem 0.000027 ÷ 0.000009 and show the quotient in simplest form, follow these steps:
Step 1: Write the division expression: 0.000027 ÷ 0.000009.
Step 2: Start by dividing the whole numbers part, which is 0, by the whole numbers part of the divisor, also 0. This gives us 0 as the whole number part of the quotient.
Step 3: Now, let's focus on the decimal part. To make it easier, we can multiply both the dividend (0.000027) and the divisor (0.000009) by 1,000,000 to remove the decimal points. This step allows us to work with whole numbers.
Step 4: After multiplying, the new expression becomes 27 ÷ 9.
Step 5: Divide the new dividend, 27, by the new divisor, 9. This gives us a quotient of 3.
Step 6: Now, simplify the quotient. Since we multiplied both the dividend and the divisor by 1,000,000 in step 3, we need to divide the quotient by the same number to bring it back to the original scale.
Step 7: Divide the quotient, 3, by 1,000,000. This gives us a simplified quotient of 0.000003.
Step 8: Finally, write the simplified quotient in scientific notation. In this case, it will be 3 x 10^-6. This represents the value 0.000003.
In conclusion, the quotient of 0.000027 ÷ 0.000009, when simplified, is 0.000003 or 3 x 10^-6.
To solve the problem 0.000027 ÷ 0.000009 and show the quotient in simplest form, we need to follow these steps:
Step 1: Write the problem correctly:
0.000027 ÷ 0.000009
Step 2: Identify the problem as a division operation:
The division operation is indicated by the division symbol (÷).
Step 3: Rewrite the problem using multiplication instead:
Since dividing by a number is the same as multiplying by its reciprocal, we can rewrite this problem as 0.000027 × (1/0.000009).
Step 4: Simplify the expression:
To multiply decimals, we ignore the decimal points and perform regular multiplication. So, we have:
0.000027 × (1/0.000009) = 27 × (1/9)
Step 5: Divide the numerator by the denominator:
To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. Thus:
27 × (1/9) = 27/9
Step 6: Simplify the fraction:
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 9 in this case. Performing the division, we get:
27/9 = 3/1
Step 7: Write the quotient in simplest form:
Since the denominator is 1, we can represent the fraction as a whole number. Therefore, the quotient in simplest form is 3.
In conclusion, the quotient of 0.000027 ÷ 0.000009 in simplest form is 3.