| Week | Topic and action |
|---|
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| Week 40 | |
Word Problem 2
What is division?
- In math, the division is the operation of finding how many times it contains another number or quantity in a number.
- Division is the opposite of multiplying. Division can be described as repeated subtraction whereas multiplication is repeated addition.
- 3 × 4 = 3 + 3 + 3 + 3 = 12
- 12 ÷ 3
⇒ 12 − 3 = 9
⇒ 9 − 3 = 6
⇒ 6 − 3 = 3
⇒ 3 − 3 = 0.
Counting how many times 3 been subtracted from 12, then the answer is 4.
- In 12 ÷ 3 = 4, 12 is called dividend, 3 is divisor and 4 is called quotient.
- Notation
- Placing the dividend (numerator) over the divisor (denominator) with a horizontal line (fraction bar) between them. = 4
- Writing as the dividend then a slash, then the divisor. 12 / 3 = 4.
- Using division sign: 12 ÷ 3 = 4
Division with remainders
- In the case of a dividend number can not be exactly divided into parts of the divisor number, the division will have a remainder. 11 ÷ 3
⇒ 11 − 3 = 8
⇒ 8 − 3 = 5
⇒ 5 − 3 = 2, and there is not an exact 3 (divisor) left and this is the remainder
11 ÷ 3 = 3 R2
Division property
- Dividing a number by 1 does NOT change the value of the number.
3 ÷ 1 = 3
13 ÷ 1 = 13
123456 ÷ 1 = 123456
- Dividing a non-zero number by itself equals 1.
3 ÷ 3 = 1
13 ÷ 13 = 1
123456 ÷ 123456 = 1
- Dividing 0 by any non-zero number equals 0.
0 ÷ 3 = 0
0 ÷ 13 = 0
0 ÷ 123456 = 0