Law of product change: If one factor remains unchanged, the product of another factor multiplied or divided by several (except 0) will also be multiplied or divided by the same number. (If one factor remains unchanged, another factor will be expanded several times or reduced to a fraction of the original, and the product will be expanded several times or reduced to a fraction of the original. )

The changing law of quotient: the divisor is constant, the dividend is multiplied or divided by a number (except 0), and the quotient is also multiplied or divided by the same number; Dividends are constant. If the divisor is multiplied or divided by a number (except 0), the quotient will be divided or multiplied by this number. (If the divisor remains the same, the dividend will be expanded several times or reduced to a fraction of the original, and the quotient will be expanded several times or reduced to a fraction of the original; If the dividend is constant, the quotient will be reduced by several times if the divisor is expanded or reduced by several times. )

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In division with remainder, if the dividend and divisor expand and contract by the same multiple (except 0) at the same time, the quotient remains unchanged, and the remainder also expands and contracts by the same multiple.

Introductory question:

1, two numbers are multiplied (the product is not 0), one factor is unchanged, and the other factor is expanded to three times. How should the product be changed?

2. When two numbers are multiplied (the product is not 0), one factor is divided by 3, and the other factor remains unchanged. How should the product be changed?

3. When two numbers are multiplied (the product is not 0), one factor is expanded to 6 times and the other factor is expanded to 3 times. How should the product be changed?

When two numbers are multiplied (the product is not 0), one factor is multiplied by 6 and the other factor is divided by 3. How should the product be changed?

5. When two numbers are divided (the quotient is not 0), the dividend is expanded to 6 times, and the divisor remains the same. How should the quotient be changed?

6. Divide two numbers (the quotient is not 0). If the dividend is unchanged and the divisor is doubled, how should the quotient change?

7. When two numbers are divided (the quotient is not 0), the dividend is divided by 6, and the divisor remains the same, how should the quotient be changed?

8. Divide two numbers (the quotient is not 0). If the dividend is expanded to 6 times and the divisor is expanded to 2 times, how should the quotient change?

9. When two numbers are divided (the quotient is not 0), if the dividend is expanded to three times and the divisor is reduced to one tenth, how should the quotient change?

10, two numbers are divided (the quotient is not 0). If the divisor is expanded to 9 times and the quotient is reduced to 1/3, how should the dividend be changed?

Exercise questions:

1, multiply two numbers, and the product is 96. If one factor is reduced to a quarter, the other factor is tripled. So what is the product?

2. When two numbers are multiplied (the product is not 0), one factor is expanded to 6 times and the other factor is also expanded to 6 times. How should the product be changed?

3. Divide two numbers (the quotient is not 0). If the dividend is expanded by 3 times and the divisor is expanded by 15 times, how should the quotient change?

4. When two numbers are divided (the quotient is not 0), the dividend is reduced to one twelfth and the quotient is reduced to one half. How should the divisor change?

5. When two numbers are divided, the quotient is 4 and the remainder is 10. If the dividend and divisor are expanded 50 times at the same time,

What is the quotient? What is the remainder?

Alternative questions:

1, when two numbers are multiplied (the product is not 0), a factor is expanded to 8 times. If the product is reduced to half, how should the other factor be changed?

2. When two numbers are multiplied (the product is not 0), a factor is reduced to one fifth of the original. How should the other factor be changed when the product is reduced to one tenth of the original one?

Multiply two numbers, and the product is 70. If one factor is doubled, the other factor is reduced to one fifth. So what is the product?

4. When two numbers are divided, the quotient is 12 and the remainder is 120. What should the divisor be greater than? Dividend and divisor are reduced by 10 times at the same time. What is the quotient? What is the remainder?

5. Fill in the blanks according to 26×37=962:

260×37=( ) 2.6×3.7=( ) 9.62÷37=( ) 96.2÷370=( )

( )×0.26=9.62 96.2÷( )=3700 ( )÷3.7=9620