Algebra: Using Integers

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Presentation transcript:

Algebra: Using Integers Integers - any number from the set {…,-4,-3,-2,-1,0,+1,+2,+3,+4,…}

When Am I Ever Going To Use This? You can use integers to keep score in sports. You can use integers to keep track of Temperature Change. You use integers to measure sea level.

When Am I Ever Going To Use This? You can use integers to keep track of the Stock Market. You can use integers to record Weight Gain or Loss. You can use integers to record money withdrawals or deposits to your banking accounts.

PASS One of the main reasons you need To learn integers is to Algebra next year in high school!!!! And GRADUATE from high school.

The answer to an add problem is the Review Vocabulary The answer to an add problem is the Sum

The answer to a subtract problem is the Review Vocabulary The answer to a subtract problem is the Difference

The answer to a multiplying problem is the Review Vocabulary The answer to a multiplying problem is the Product

The answer to a divide problem is the Review Vocabulary The answer to a divide problem is the Quotient

Zero is neither positive or negative. Integers greater than 0 are positive integers. Integers less than 0 are negative integers. Negative not MINUS Zero is neither positive or negative. Positive integers are usually written without the + sign, so +5 and 5 are the Same.

On the number line—the numbers have a greater value as you go -5 5 On the number line—the numbers have a greater value as you go to the right. - 1 is the largest negative integer.

All Positive numbers are larger than Any negative number. The additive inverse of –7 is 7. The additive inverse of 9 is –9.

Integers After the 1990 census, Texas gained 3 seats in the United States House of Representatives. Michigan lost 2 seats. You can use the integers +3 and -2 to describe these situations, respectively.

Opposites All opposites add to zero. -3 + 3 = 0 (21) + (-21) = 0 Two numbers are opposites of one another if they are represented by points that are the same distance from 0, but on opposite sides of 0. All opposites add to zero. -3 + 3 = 0 (21) + (-21) = 0

Absolute Value The Absolute Value is helpful when adding integers. The Absolute Value of an integer is its distance from 0 on a number line. The Absolute Value of -4 = 4

Ordering Integer Problems < 1. - 1 10 > 2. -3 - 4 < 3. 0 8 > 4. -4 0

Put in order from least to greatest. 4, -3, 0, -8 -8, -3, 0, 4

Put in order from greatest to least. Integers Put in order from greatest to least. -3, 0, 5, -25, 36, -1, 7 36, 7, 5, 0, -1, -3, -25

The End