Question

I need help with this please, I know that the opposite of 4.6 is -4.6 but I don’t know how to explain it.

Answer 1

As a rational number is a fraction we had to convert our number to a fraction, and as the opposite number is the number with the same magnitude but a different sign, we had to change the sign.

`-4\cdot(3)/(5)`

Step-by-step explanation

• Rational numbers are the numbers that can be written as the fraction of two integers.

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• Additionally, opposite numbers are numbers with the same magnitude but different signs.

Thus, based on these definitions, we have to change the sign and search for a fraction.

Steps:

0. From 4.6 we go to -4.6.

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1. We convert -4.6 to a fraction: -4 is the whole number and we are left with -0.6, which is 6/10 (as it is in the tenth's place).

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2. Simplifying 6/10 to 3/5 dividing both numbers by 2.