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Chapter 4: Problem 42

Round the mixed number to the nearest whole number. $$2 \frac{7}{8}$$

Short Answer

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Step by step solution

01

Understand the Mixed Number

The given mixed number is $$2 \frac{7}{8}$$. This consists of a whole number part which is 2, and a fractional part which is $$\frac{7}{8}$$.
02

Evaluate the Fraction

Determine if $$\frac{7}{8}$$ is closer to 0 or 1. Since $$\frac{7}{8}$$ is greater than 0.5, it is closer to 1
03

Round the Mixed Number

Since $$\frac{7}{8}$$ is closer to 1, round the mixed number $$2 \frac{7}{8}$$ to the next whole number, which is $$2 + 1 = 3$$.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mixed Numbers
A mixed number combines a whole number and a fraction. In the example, \(2 \frac{7}{8}\), 2 is the whole number, and \(\frac{7}{8}\) is the fraction.
Mixed numbers are useful for representing values that fall between two whole numbers.
Understanding mixed numbers helps in both basic math and real-life situations, such as measuring ingredients or splitting items.
Fractions
Fractions represent parts of a whole. They consist of a numerator (the top number) and a denominator (the bottom number). In \(\frac{7}{8}\), 7 is the numerator and 8 is the denominator.
Fractions are essential for dividing objects, quantities, or even ideas into smaller parts.
They help us understand ratios and proportions, making it easier to compare different amounts.
Rounding
Rounding simplifies numbers by approximating them to a specific place value. In our case, we round to the nearest whole number.
To round \(2 \frac{7}{8}\), first look at the fractional part, \(\frac{7}{8}\). Determine if it is closer to 0 or 1. Since \(\frac{7}{8}\) is closer to 1, we round up.
The mixed number \(2 \frac{7}{8}\) becomes 3.

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Most popular questions from this chapter

Which expressions are equivalent to \(\frac{-9}{10} ?\) \(\begin{array}{cccc}\text { a. } \frac{9}{10} & \text { b. }-\frac{9}{10} & \text { c. } \frac{9}{-10} & \text { d. } \frac{-9}{-10}\end{array}\)

a. What fraction of the alphabet is made up of vowels? (Include the letter \(y\) as a vowel, not a consonant.) b. What fraction of the alphabet is made up of consonants?

Simplify to lowest terms by first reducing the powers of 10. $$-\frac{3000}{1800}$$

Simplify the fraction to lowest terms. Write the answer as a fraction or a whole number. $$\frac{385}{195}$$

Simplify the fraction to lowest terms. Write the answer as a fraction or a whole number. $$\frac{69}{92}$$
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