How To Multiply Negative Fractions

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Negative numbers accept a value of less than nada. These numbers are plant when working with the numbers on the left side of the number line. Negative numbers can be added, subtracted, multiplied, and divided merely like positive numbers. However, special rules utilise when carrying out operations with negative numbers. It is important to pay shut attending to the numbers' signs when yous divide and multiply by negative numbers.

1

Split a positive number past a negative number. To do this, divide the integers as usual, then place a negative sign in front end of the caliber. A positive number divided by a negative number is ever negative. This also is the rule when dividing a negative number by a positive number.^[i]
2

Divide a negative number past a negative number. To do this, divide the integers as usual, and ignore the negative signs. A negative divided by a negative always equals a positive.^[2]

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3

Divide a positive fraction by a negative number. To practise this, divide the numbers equally usual, then add a negative sign to the quotient. A positive number divided by a negative number will always be negative, regardless of whether the number is a whole number or a fraction. The same is true when dividing a negative number by a positive number. Remember that dividing past a number is the aforementioned as multiplying by its reciprocal.^[3]
four

Divide a negative fraction by a negative number. To do this, divide the numbers as usual, and ignore the negative signs. A negative number divided past a negative number will always exist positive, regardless of whether the number is a whole number or a fraction. Recollect that dividing is the same every bit multiplying by the reciprocal.

one

Multiply a positive number past a negative number. To practice this, multiply the integers as usual, then add a negative sign to the production. A positive number multiplied by a negative number is always negative.^[iv]
ii

Multiply a negative number by a negative number. To do this, multiply the integers equally usual, and ignore the negative signs. A negative number multiplied by a negative number is e'er positive.^[five]
3

Multiply a positive fraction by a negative number. To practise this, multiply the numbers as usual, then add together a negative sign to the product. A positive number times a negative number will always exist negative, regardless of whether the number is a whole number or a fraction.
iv

Multiply a negative fraction by a negative number. To practice this, multiply the numbers as usual, and ignore the negative signs. A negative number times a negative number will always be positive, regardless of whether the number is a whole number or a fraction.

1

Attempt this problem. $224\div -7$
2

Effort this problem. A peregrine falcon tin can dive (lose height) at a rate of 320 km/hr. Bold it tin sustain this rate indefinitely, how long would it take a peregrine to reach a top of -240 km?
three

Try this trouble. ${\frac {7}{10}}\div -6$
4

Try this problem. ${\frac {-5}{6}}\div -3$
5

Effort this trouble. Jason spends five dollars on donuts every morning. How much money will he lose on donuts after 5 days?
half dozen

Attempt this problem. $-12\times -5$
7

Try this problem. Rebecca has a whole pie in her refrigerator. Over the course of three days, her business firm guest sneaks into the kitchen and eats ${\frac {1}{6}}$ of the pie. How much pie has Rebecca lost?
viii

Try this trouble. ${\frac {-4}{7}}\times -7$

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Question

How is 240 possibly divided by 320?

When a smaller number is divided past a larger number, the quotient is less than 1.
Question

What near a fraction multiplied past a negative number?

Put a "one" under the negative number, leaving the negative sign ON TOP, and then multiply the fraction as usual.

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Multiplying ii negative signs creates a positive sign. Therefore, you tin can count the number of negative signs when y'all have a list of numbers to multiply. The answer will be positive if you take an even number of negative signs. The reply volition be negative if yous have an odd number of negative signs.

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Cheque your sign after completing the operation. The sign of the reply changes the entire value of the number.

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