Answer :
To solve the division problem [tex]\( 218 \div 0.4 \)[/tex], we can follow these steps:
1. Understand what division by a decimal means: Dividing by a decimal can be difficult to handle directly, so we convert the division into a problem where we are dividing by a whole number.
2. Convert the divisor to a whole number: Multiply both the dividend (218) and the divisor (0.4) by 10 to eliminate the decimal. This changes the problem to:
[tex]\[
218 \times 10 \div (0.4 \times 10) = 2180 \div 4
\][/tex]
3. Divide normally: Now, divide 2180 by 4.
- 4 goes into 21 five times, so you write down 5 and subtract [tex]\( 5 \times 4 = 20 \)[/tex] from 21 to get 1. Bring down the next digit, 8, to make it 18.
- 4 goes into 18 four times, so write down 4 and subtract [tex]\( 4 \times 4 = 16 \)[/tex] from 18 to get 2. Bring down the last digit, 0, to make it 20.
- 4 goes into 20 five times, so write down 5.
4. Combine the results: The answer to the division 2180 divided by 4 is 545.0.
So, [tex]\( 218 \div 0.4 = 545.0 \)[/tex].
The final quotient is 545.0.
1. Understand what division by a decimal means: Dividing by a decimal can be difficult to handle directly, so we convert the division into a problem where we are dividing by a whole number.
2. Convert the divisor to a whole number: Multiply both the dividend (218) and the divisor (0.4) by 10 to eliminate the decimal. This changes the problem to:
[tex]\[
218 \times 10 \div (0.4 \times 10) = 2180 \div 4
\][/tex]
3. Divide normally: Now, divide 2180 by 4.
- 4 goes into 21 five times, so you write down 5 and subtract [tex]\( 5 \times 4 = 20 \)[/tex] from 21 to get 1. Bring down the next digit, 8, to make it 18.
- 4 goes into 18 four times, so write down 4 and subtract [tex]\( 4 \times 4 = 16 \)[/tex] from 18 to get 2. Bring down the last digit, 0, to make it 20.
- 4 goes into 20 five times, so write down 5.
4. Combine the results: The answer to the division 2180 divided by 4 is 545.0.
So, [tex]\( 218 \div 0.4 = 545.0 \)[/tex].
The final quotient is 545.0.
