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Chapter 1: Problem 56

Select the lesser of the two given numbers. \(-16,-17\)

Short Answer

Expert verified
-17

Step by step solution

01

Identify the Given Numbers

The numbers provided are -16 and -17.
02

Understand the Concept of Negative Numbers

In negative numbers, a number is less than another if it is more negative. For example, -17 is less than -16 because it is further from zero.
03

Compare the Provided Numbers

Compare -16 and -17 to determine which is more negative. Since -17 is further from zero than -16, -17 is the lesser number.
04

Select the Lesser Number

Thus, the lesser of the two numbers is -17.

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Key Concepts

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

Understanding Negative Numbers
Negative numbers are numbers that are less than zero. They are usually written with a minus sign (-) in front of them. For example, -1, -2, and -3 are all negative numbers. Negative numbers are used to represent values less than zero, like temperatures below freezing or debts.

In the number line, negative numbers are placed to the left of zero. The further left a number is, the smaller it is. For example: -17 is further left than -16 on the number line, so -17 is smaller.

Knowing this will help a lot when comparing negative numbers.
How to Compare Negative Numbers
When comparing negative numbers, it's crucial to understand that the further a number is from zero, the smaller it is. This rule is opposite to that of positive numbers where the further a number is from zero, the larger it is.

In our example, we are comparing -16 and -17. By looking at a number line or thinking in terms of distance from zero: -17 is farther from zero than -16.

Therefore, -17 is the lesser number compared to -16. Remember:
  • More negative means less valuable.
  • Closer to zero means more valuable.
A quick trick is to think: the bigger the number after the minus sign, the smaller the actual value.
Determining the Lesser Number
To determine which number is lesser between two negative numbers, follow these steps:
  • Identify both numbers.
  • Think about their position on the number line.
  • Remember: more negative is lesser.
For our exercise, the numbers are -16 and -17. Knowing what we鈥檝e discussed, -17 is more negative than -16. This makes -17 the lesser number.

Practicing this method can help simplify your understanding of negative numbers and comparisons. Always apply the concept: the number farther from zero in the negative direction is the lesser number.

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Most popular questions from this chapter

The operation of division is used in divisibility tests. A divisibility test allows us to determine whether a given number is divisible (without remainder) by another number. An integer is divisible by 4 if its last two digits form a number divisible by \(4,\) and not otherwise. Show that (a) \(6,221,464\) is divisible by 4 and \((b) 2,876,335\) is not divisible by 4

Find each difference. $$ -\frac{3}{4}-\frac{5}{8} $$

Write a numerical expression for each phrase and simplify. The sum of \(-5\) and 12 and 6.

Solve each problem. The surface, or rim, of a canyon is at altitude 0. On a hike down into the canyon, a party of hikers stops for a rest at \(130 \mathrm{m}\) below the surface. The hikers then descend another 54 m. Write the new altitude as a signed number.

Decide whether each statement is true or false. \(-|-5| \geq-|-9|\)
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