/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 63 Select the lesser of the two giv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 63

Select the lesser of the two given numbers. -11,-4

Short Answer

Expert verified
-11

Step by step solution

01

- Understand the Problem

The goal is to find the lesser (or smaller) of the two given numbers: -11 and -4.
02

- Identify the Numbers on the Number Line

Place both numbers, -11 and -4, on a number line. Remember that numbers further to the left are smaller.
03

- Compare the Numbers

Compare -11 and -4 based on their position on the number line. Since -11 is further to the left than -4, -11 is the smaller number.
04

- Write the Answer

Based on the comparison, the lesser of the two numbers -11 and -4 is -11.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Number Line
The number line is a visual representation of numbers along a straight horizontal line.
On the number line, smaller numbers are positioned to the left, and larger numbers are positioned to the right.
For example, negative numbers are on the left side of zero, and positive numbers are on the right.
Let's look at the numbers from the exercise: -11 and -4.
If you place them on a number line, -11 will be to the left of -4 because -11 is smaller.
Using a number line makes it easier to visually compare the size of the numbers.
Think of it as a ruler where each mark represents a number. The further left you go, the smaller the number becomes.
Negative Numbers
Negative numbers are values less than zero, represented with a minus sign (-).
On the number line, they are always to the left of zero.
Negative numbers can sometimes be confusing because a 'larger' negative number has a smaller value than a 'smaller' negative number.
For instance, -11 is less than -4.
The further a negative number is from zero, the smaller its value.
Think of negative numbers in terms of debt.
If you owe 11 dollars, your debt (-11) is more significant than owing 4 dollars (-4).
Understanding this concept is crucial for comparing negative numbers correctly.
Ordering Numbers
Ordering numbers means arranging them from smallest to largest or vice versa.
When ordering numbers, including negative numbers, a number line can be very helpful.
Start from the far left and move to the right to list numbers from smallest to largest.
To order -11 and -4, you'd place -11 first because it's further left on the number line, then -4.
Here's a quick tip:
The smaller a negative number is (the further left it is), the lesser its value.
So, -11 comes before -4 in an ordered list.
This skill is essential for solving many math problems and understanding the relationships between different numbers.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) \(\left(\frac{1}{3} x-\frac{4}{5} y\right)\left(-\frac{1}{5} a\right)\)

Use the distributive property to rewrite each expression. $$ -\frac{2}{5}(10 b+20 a) $$

Solve each problem. The lowest temperature ever recorded in Illinois was \(-36^{\circ} \mathrm{F}\) on January \(5,1999 .\) The lowest temperature ever recorded in Utah was on February \(1,1985,\) and was \(33^{\circ} \mathrm{F}\) lower than Illinois's record low. What is the record low temperature for Utah? (Data from National Climatic Data Center.)

Write a numerical expression for each phrase, and simplify the expression. The difference of 7 and -14

Solve each problem. In September, Jeffery began with a checking account balance of \(\$ 537.12 .\) He made the following withdrawals and deposits. $$ \begin{array}{|c|c|} \hline \text { Withdrawals } & \text { Deposits } \\ \hline \$ 41.29 & \$ 80.59 \\ \$ 13.66 & \$ 276.13 \\ \$ 84.40 & \\ \hline \end{array} $$ Assuming no other transactions, what was his new account balance?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.