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) and : Since , the correct symbol here is .
b) and : Since , the correct symbol here is .
c) and : Since (because is closer to 0 on the number line), the correct symbol here is .
Thus, the correct answers are:
a)
b)
c)
Would you like more details on any of these comparisons?
Here are five related questions to consider:
- How do you compare two negative numbers?
- What is the significance of zero when comparing positive and negative numbers?
- How do inequalities change when both sides are multiplied by negative numbers?
- Can you explain how inequalities work on a number line?
- 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