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Chapter 1: Problem 12

give a number that satisfies the given condition. A whole number greater than 3.5

Short Answer

Expert verified
4

Step by step solution

01

Understand the Condition

Identify that you need to find a whole number, which means an integer, that is greater than 3.5.
02

Identify the Smallest Whole Number Greater Than 3.5

Since 3.5 is not a whole number, the smallest whole number greater than 3.5 would be the next integer, which is 4.

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Key Concepts

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

integer
An integer is a type of whole number that does not have any decimal or fractional part. Integers include positive numbers like 1, 2, 3, negative numbers like -1, -2, -3, and even zero (0). Here's a simple breakdown:
  • Positive integers: 1, 2, 3, 4, ...
  • Negative integers: -1, -2, -3, -4, ...
  • Zero: 0
Integers are very important in mathematics because they help us count, measure, and perform various calculations.
They are represented without any fractional or decimal part. For instance, 4 and -7 are integers, but 3.5 and -2.3 are not. This means when a problem asks for a whole number or an integer, you will always disregard any decimal or fraction.
number line
A number line is a straight line with numbers placed at equal intervals along its length. It is a useful visual tool in mathematics for showing the order of numbers and their relative values. The number line includes negative numbers, zero, and positive numbers.
Here are some key points about number lines:
  • Numbers to the right are greater than those to the left.
  • Zero is the central point, separating positive and negative numbers.
  • You can use the number line to illustrate operations like addition and subtraction.
For example, on a number line, if you start at 3 and move to 4, you move one unit to the right, indicating an increase. Similarly, starting at -2 and moving to -3 means moving one unit to the left, indicating a decrease.
greater than
The concept of 'greater than' helps compare two values to determine which one is larger. The symbol for 'greater than' is '>'. For instance, when we say 5 > 3, it means that 5 is greater than 3.
Here are some important points about 'greater than':
  • When comparing whole numbers, larger numbers are always to the right on the number line.
  • If a number is greater than another, it means it is larger in value.
  • In inequalities, using '>' shows that one number is surpassing another.
In the context of our problem, the task is to find a number greater than 3.5. Since integers do not include fractions or decimals, we would look for the smallest whole number greater than 3.5, which is 4.

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Most popular questions from this chapter

Simplify each expression. $$ 2 p^{2}+3 p^{2}-8 p^{3}-6 p^{3} $$

Simplify each expression. $$ -2(3 r-4)-(6-r)+2 r-5 $$

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 6 if it is divisible by both 2 and \(3,\) and not otherwise. Show that (a) \(1,524,822\) is divisible by 6 and \((b) 2,873,590\) is not divisible by 6

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 3 if the sum of its digits is divisible by \(3,\) and not otherwise. Show that (a) \(4,799,232\) is divisible by 3 and (b) \(2,443,871\) is not divisible by 3

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 5 if its last digit is divisible by \(5,\) and not otherwise. Show that (a) \(3,774,595\) is divisible by 5 and (b) \(9,332,123\) is not divisible by 5
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