Use long division to convert 27 to a decimal. (1 point)
To convert 27 to a decimal using long division, divide 27 by 1.
First, divide 27 by 1:
27 ÷ 1 = 27
The result is 27. Therefore, 27 as a decimal is 27.
To convert 27 to a decimal using long division, follow these steps:
1. Write down the number 27 as the dividend.
2. Choose a number to be the divisor. Let's use 10 as the divisor since we are converting to a decimal.
3. Divide the left-most digit of the dividend (2) by the divisor (10). The result is 2. Write this above the line.
4. Multiply the divisor (10) by the quotient (2), and subtract the result (20) from the dividend (27). The remainder is 7.
2
______
10 | 27
- 20
______
7
5. Bring down the next digit from the dividend (7) and append it to the remainder (7) to form a new dividend (77).
2.7
______
10 | 27
- 20
______
7
6. Divide the new dividend (77) by the divisor (10). The result is 7. Write this above the line.
2.7
______
10 | 27
- 20
______
7
7. Multiply the divisor (10) by the new quotient (7), and subtract the result (70) from the new dividend (77). The remainder is 7.
2.7
______
10 | 27
- 20
______
7
- 70
______
7
8. Since the remainder is 7 and there are no more digits to bring down, we have reached the end of the division. The final result is 2.7.
Therefore, 27 is equivalent to the decimal 2.7 when using long division.
To convert a whole number, such as 27, to a decimal using long division, follow these steps:
Step 1: Write down the whole number 27 as the dividend, and write the number you want to divide by, 1, as the divisor:
27 ÷ 1
Step 2: Start the division process. Divide the first digit of the dividend (2) by the divisor (1). Write the quotient (2) above the line.
┌───
1 | 27
2
Step 3: Multiply the quotient (2) by the divisor (1) and write the result (2) below the dividend, directly under the corresponding digit.
┌───
1 | 27
2
────
2
Step 4: Subtract the previous result (2) from the current part of the dividend (27). Write the difference (25) below the line.
┌───
1 | 27
2
────
2
-25
Step 5: Bring down the next digit from the dividend, which is 7.
┌───
1 | 27
2
────
2
-25
───
7
Step 6: Divide the new dividend (7) by the divisor (1) and write the quotient (7) above the line.
┌───
1 | 27
2
────
2
-25
───
7
Step 7: Multiply the quotient (7) by the divisor (1) and write the result (7) below the dividend, directly under the corresponding digit.
┌───
1 | 27
2
────
2
-25
───
7
7
Step 8: Subtract the previous result (7) from the current part of the dividend (7). Write the difference (0) below the line.
┌───
1 | 27
2
────
2
-25
───
7
7
──
0
Step 9: Since there is no remainder, you have reached the end of the division. The quotient obtained is 27.
Therefore, 27 as a decimal is 27.0 or simply 27.
Note: In long division, the decimal representation of a whole number will always end with a .0 or no decimal places since there is no remainder in these cases.