Math Problem Statement

Decide whether > or < should go in each of the boxes to complete the statements: 2 and 9, 1 and -10, -5 and -7.

Solution

Let's solve the comparison problems from the image.

a) 22 and 99: Since 2<92 < 9, the correct symbol here is <<.

b) 11 and 10-10: Since 1>101 > -10, the correct symbol here is >>.

c) 5-5 and 7-7: Since 5>7-5 > -7 (because 5-5 is closer to 0 on the number line), the correct symbol here is >>.

Thus, the correct answers are:

a) 2<92 < 9
b) 1>101 > -10
c) 5>7-5 > -7

Would you like more details on any of these comparisons?

Here are five related questions to consider:

  1. How do you compare two negative numbers?
  2. What is the significance of zero when comparing positive and negative numbers?
  3. How do inequalities change when both sides are multiplied by negative numbers?
  4. Can you explain how inequalities work on a number line?
  5. How would the comparison change if the signs of the numbers were reversed?

Tip: When comparing numbers, always visualize them on a number line. Negative numbers are smaller than positive ones, and the farther left a number is, the smaller it is.

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Math Problem Analysis

Mathematical Concepts

Comparing Integers
Number Line
Inequality Symbols

Formulas

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Theorems

Properties of Inequalities
Ordering Numbers

Suitable Grade Level

Grade 3-5