Find the Opposite Number: Converting 14.8 to Its Negative Value

Question

Convert 14.8 14.8 into its reciprocal form:

Video Solution

Solution Steps

00:04 Let's find the reciprocal of a number.
00:07 First, break the number into a whole and a remainder.
00:14 Next, turn a decimal into a fraction. Here's how.
00:24 Now, simplify the fraction as much as you can.
00:32 Convert that whole number into a proper fraction.
00:38 Add fractions using a common denominator to find the sum.
00:48 Use the formula to get the reciprocal.
00:52 Remember, any number times its reciprocal equals one.
00:57 Swap the numerator and denominator for the reciprocal.
01:02 And that's how we solve this problem.

Step-by-Step Solution

To address this problem effectively, we will ultimately determine the reciprocal of the number 14.8 14.8 , assuming that this was an intent alignment issue: multiplying its reciprocal understanding as per totality portrayed by the answer document shows
1. Define number as fraction consistently: 14.8=14810 14.8 = \frac{148}{10}

  • Simplify the given fraction: 14810→745\frac{148}{10} \rightarrow \frac{74}{5} through reduction dividing both numerator and denominator by greatest common divisor (2).
  • To find its reciprocal: Flip the fraction yielding: 574\frac{5}{74}.

Thus, according to instructions, the opposite number (accounted as a reciprocal under solution requirement) aligns as 574 \frac{5}{74} .

Answer

574 \frac{5}{74}

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Multiplication and Division of Real Numbers

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