An integer is a number with no decimal or fractional part, and it includes negative and positive numbers, including zero.

1. Define the concept of an inequality in the set of integers and absolute value of an integer. Describe the rules of comparing integers. Give at least two examples-Positive vs Negative, any positive integer is always greater than any negative integer. When comparing two positive or negative integers, the one with the larger absolute value is the greater number. Examples5>-2 (5 is greater than -2), -10
2. Explain how to determine the smaller of 0.24 and 0.3 using the following techniques. The number line, factions, place value. On a number line draw a line and mark 0.2, 0.3, 0.4, locate 0.24 on the line which will be slightly to the right of 0.2, then locate 0.3 on the line which will be to the right of 0.24. Since 0.24 is to the left of 0.3 on the number line, it is smaller. Convert the decimals to fractions 0.24 is equal to 24/100, 0.3 is equal to 30/100. Compare 24/100 is less than 30/100, therefore 0.24 is smaller than 0.3. Identify the tenths and hundredths place is 4, and 0.3, the tenths place is 3 (and it has 0 hundredths). Compare the tenths place values. 2 is less than 3, so 0.24 is smaller than 0.3.

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