Understanding Integer Operations

The video tutorial explains how to solve application problems using addition, even when subtraction might seem applicable. It provides four examples: checking account balances, altitude change, weight change, and plane descent. Each example demonstrates how to use a number line and formal rules to find the sum of integers with different or the same signs. The tutorial emphasizes understanding absolute values and determining the sign of the sum based on the larger absolute value.

What is the result of combining $60 and -$90 in a checking account?

• $30

• -$30

• $150

• -$150

When adding integers with different signs, what is the first step according to formal rules?

• Multiply the integers

• Add the integers directly

• Find the absolute values

• Divide the integers

If Kayla starts at -4 miles and hikes up 7 miles, where does she end up?

• -3 miles

• 7 miles

• 0 miles

• 3 miles

What is the sum of -4 and 7?

• 3

• -3

• -11

• 11

Tom gains 8 pounds and loses 14 pounds. What is his net weight change?

• 6 pounds

• -6 pounds

• 22 pounds

• -22 pounds

What is the result of 8 plus -14?

• 22

• -6

• -22

• 6

A plane descends 600 feet and then another 1,400 feet. What is the total descent?

• 600 feet

• 1,400 feet

• 2,000 feet

• 2,600 feet

When adding integers with the same sign, what should you do?

• Subtract the absolute values

• Divide the absolute values

• Multiply the absolute values

• Add the absolute values

What is the sum of -600 and -1400?

• -2000

• 2000

• 800

• -800

What is the common sign of the sum when adding two negative integers?

• Positive

• Negative

• Zero

• Undefined