This semester we have learned the changing rules of factors and products, as well as the changing rules of dividends, divisors and quotients. Can you please give an example?

1. The changing rules of factors and products:

If one factor remains unchanged, the other factor expands (or shrinks) several times, and the product also expands (or shrinks) by the same multiple. How many times one factor expands (shrinks), the other factor shrinks (expands) that many times, and the product remains unchanged.

For example:

3x5=15, 30x5=150, 3x50=150

12x4=48, 4x4=16, 12x2=24

2. The changing rules of dividend, divisor and quotient (quotient invariance property):

The dividend and divisor expand or contract at the same time by the same multiple (except 0), and the quotient remains unchanged.

For example:

12÷3＝4, 24÷6＝4, 36÷9＝4

72÷8＝9, 36÷4＝ 9, 18÷2＝9

Extended information:

Quotient, the formula is: (dividend - remainder) ÷ divisor = quotient, recorded as: dividend ÷ divisor = quotient ···Remainder is a mathematical term.

In a division equation, the relationship between the dividend, remainder, divisor and quotient is: (dividend - remainder) ÷ divisor = quotient, recorded as: dividend ÷ divisor = quotient...remainder, and then derived: Output: quotient × divisor remainder = dividend.

Reference: Shang-Baidu Encyclopedia