Division
In Mathematics, there are four basic arithmetic operations, i.e. addition, subtraction, multiplication and division.
Division means to distribute a value/number/amount equally. Its result may or may not be a whole number. It can also be in the form of a decimal.
In this article, the lesson objective is:
- Division up to 4-digit by 1-digit numbers
Long Division
Division can be done by the long division method.
Example:
Do the following division.
\(965 \div 8 =\) __________
- What is the quotient?
Solution:
Answer:
120
- What is the remainder?
Answer:
5
1. Division Of 4-Digit Number By 1-Digit Number
Question 1:
Do the following division.
\(4824 \div 2 =\) __________
Solution:
Answer:
2412
Question 2:
Perform the following division.
\(6009 \div 3 =\) __________
Solution:
Answer:
2003
Question 3:
Perform the following division.
\(8012 \div 4 =\) __________
Solution:
Answer:
2003
Question 4:
Perform the following division.
\(5525 \div 5 =\) _________
Solution:
Answer:
1105
Question 5:
Perform the following division.
\(5649 \div 7 =\) __________
Solution:
Answer:
807
Question 6:
Perform the following division.
\(2989 \div 4 =\) __________ \(\text{R}\) __________
Solution:
\(2989 \div 4 = 747 \text{ R } 1\)
Answer:
747 R 1
Question 7:
Perform the following division.
\(7268 \div 8 =\) __________ \(\text{R}\) __________
Solution:
\(7268 \div 8 = 908 \text{ R } 4\)
Answer:
908 R 4
Question 8:
Perform the following division.
\(6572 \div 8 =\) __________ \(\text{R}\) __________
Solution:
\(6572 \div 8 = 821 \text{ R } 4\)
Answer:
821 R 4
Question 9:
Solve the following
__________ \(÷ \;8 = 183 \text{ R } 5\)
Solution:
There are 183 groups of 8 and 5 left.
\(\begin{align} 183 \times 8 &= 1464\\ 1464 + 5 &= 1469 \end{align}\)
Answer:
1469
Question 10:
Solve the following.
_________ \(÷ \;6 = 214 \text{ R } 3\)
Solution:
There are 214 groups of 6 and 3 left.
\(\begin{align} 214 \times 6 &= 1284\\ 1284 + 3 &= 1287 \end{align}\)
Answer:
1287
Question 11:
When a number is divided by 4, it gives a quotient of 121 and the remainder is 1.
What is the number?
Solution:
Rewriting the question into an equation:
__________ \(\div \;4 = 121 \text{ R } 1\)
\(\begin{align} 121 \times 4 &= 484\\ 484 + 1 &= 485 \end{align}\)
Answer:
485
Question 12:
When a number is divided by 7, the quotient is 154 and the remainder is 4. What is the remainder when the same number is divided by 6?
Solution:
Rewriting the question into equations:
\(\begin{align} \text{_ _ _ _ _ _ _ _ _ _ } \div \;7 &= 154 \text{ R } 4 \\[2ex] \text{_ _ _ _ _ _ _ _ _ _ } \div \;6 &= \text{_ _ _ _ _ _ _ _ _ _ } \text{ R } \text{_ _ _ _ _ _ _ _ _ _ } \end{align}\)
Solving the first equation,
\(\begin{align} 154 \times 7 &= 1078\\ 1078 + 4 &= 1082 \end{align}\)
Now, solving the second equation,
\(1082 \div 6 = 180 \text{ R } 2 \)
Answer:
2
Question 13:
Solve the following:
Which of the following is the correct answer?
- 64
- 132
- 512
- 1024
Solution:
Looking at the first equation,
\(\begin{align}\\[2ex] &= 32 \div 8\\[2ex] &= 4 \end{align}\) |
Looking at the second equation
\(4\) | \(\times\) | \(=\) | \(2048\) | ||
\(=\) | \(2048 \div 4\) | ||||
\(=\) | \(512\) | ||||
\(+\) | \(=\) | \(512 + 512\) | |||
\(=\) | \(1024\) |
Answer:
(4) 1024
Continue Learning | |
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Multiplication | Whole Numbers |
Multiplication And Division | Decimals |
Model Drawing Strategy | Division |
Fractions | Factors And Multiples |
Area And Perimeter 1 | Line Graphs |
Time |