Sign Rules
What sign will the product have when you multiply two negative integers?
Positive
Simplify: -4 × 7 + 10
-18
An online gamer loses 15 points each time their character falls into a trap. Which expression best represents the gamer falling into 5 traps?
5(-15)
A weather balloon is descending at a constant rate of 40 feet per minute. Which expression represents the total change in elevation after 6 minutes?
6(-40)
If a submarine descends 15 feet per minute, what integer represents its total change in depth relative to sea level after 4 minutes?
-60 feet
What sign will the product have when you multiply one positive integer and one negative integer?
Negative
Simplify: -9(-6) - 20
34
A movie theater customer buys 3 tickets that cost $12 each. Which equation best represents the effect on the customer’s bank account?
3 · (-12) = -36
During a cold front, the temperature drops at a constant rate of 3 degrees each hour. Which equation represents the total change in temperature after 5 hours?
5 × (-3) = -15
A stock price drops by $3 per share every hour for 6 consecutive hours. What is the total change in the stock price?
-$18
According to the rules for multiplying rational numbers, what is the very first step you should complete before calculating the magnitude?
Determine the sign of the product using the sign rules.
Simplify: 2 × (-8) + (-4)
-20
A streaming service user pays a monthly subscription fee of $14. Which equation best represents the total amount deducted from the user’s account over 4 months?
4 · (-14) = -56
A scuba diver descends at a rate of 8 feet per minute. Which expression represents the total change in elevation after 7 minutes?
7 · (-8)
Explain why (-5) · (-3) results in a positive 15 in terms of real-world gain/loss patterns.
Removing (negative) a debt/loss (negative) results in an overall financial gain (positive).
What must you convert mixed numbers into before multiplying them?
Improper fraction
Simplify: -4 × (-8) - (-12
44
An online trading app charges an account maintenance fee of $4 every month. Which expression best represents the total fees applied to a user's account over 9 months?
9(-4)
A freezer's internal temperature drops by 2 degrees every hour. Which equation represents the total change in temperature after 8 hours?
8 × (-2) = -16
How do you multiply two fractions once their signs are determined?
Multiply the numerators together, multiply the denominators together, and simplify to lowest terms.
What is the rule for the denominator q in any rational number written in the form p/q?
q cannot equal 0
Simplify: -7 · (-10) + 3 × (-5)
55
A parking garage charges a rate of $6 per hour. Which equation best represents the total change in a driver's account after parking for 5 hours?
5 · (-6) = -30
A hiker loses 2 pounds of weight each week during an expedition. Which equation represents the overall change in weight over 6 weeks?
6 · (-2) = -12
A bank account balance changes by -$14 each month for a streaming subscription. What integer represents the account change after a full year (12 months)?
-$168