What is the quotient of 21.643 and 2.3?
A quotient is the result to a division, so divide them...
what is the quotient
To find the quotient of 21.643 and 2.3, divide 21.643 by 2.3.
Step 1: Set up the division problem:
21.643 ÷ 2.3
Step 2: Remove the decimals by multiplying both the numerator and denominator by 10. In this case, multiply by 100 in order to move the decimal point two places to the right:
2164.3 ÷ 230
Step 3: Divide the numbers without considering the decimal point:
2164.3 ÷ 230 = 9.417
Step 4: Place the decimal point back into the result. Count the number of decimal places in both the dividend (21.643) and the divisor (2.3). In this case, the dividend has three decimal places, while the divisor has one decimal place. So, the quotient should have two decimal places:
9.417
Therefore, the quotient of 21.643 and 2.3 is 9.417.
To find the quotient of two numbers, you divide the dividend by the divisor. In this case, the dividend is 21.643 and the divisor is 2.3.
To calculate the quotient, you can use long division or a calculator.
Using a calculator:
1. Enter 21.643 ÷ 2.3 into your calculator.
2. Press the equals (=) button.
3. The result will be the quotient of the two numbers, which in this case is approximately 9.4126.
Using long division:
1. Set up the division problem with the dividend (21.643) inside the long division symbol, and the divisor (2.3) outside.
_______
2.3) 21.643
2. Divide the first digit of the dividend (2) by the divisor (2.3). The result is 0.8696.
3. Write this result above the line and subtract it from the first digit of the dividend:
_______
2.3) 21.643
- 18.4
4. Bring down the next digit of the dividend (1), so the new number becomes 14.4.
5. Divide this new number (14.4) by the divisor (2.3). The result is 6.2609.
6. Write this result above the line.
_______
2.3) 21.643
- 18.4
6.26
7. Subtract the product of the divisor (2.3) and the latest quotient (6.2609) from the new number (14.4). The result is 0.043.
8. Write this result (0.043) above the line.
_______
2.3) 21.643
- 18.4
______
6.26
4.3
____
0.043
9. Since there are no more digits in the dividend, the long division is complete. The remaining value, 0.043, is the quotient of 21.643 divided by 2.3.
Therefore, the quotient of 21.643 and 2.3 is approximately 9.4126 or 0.043 depending on the level of precision required.