Addition, Subtraction & Zero Pairs
What is the term for two numbers that lie equal distance from zero on opposite sides of a number line and have a sum of zero?
What are Additive Inverses (or Zero Pairs)?
In a multiplication expression like 4 times (-3), what does the first factor 4 represent conceptually?
What is the number of groups (4 groups of -3)?
Define terminating decimal.
What is a decimal expansion of a rational number that eventually ends in 0s ?
In business financial ledgers, are expenses and debits represented by positive or negative rational numbers?
What are negative numbers?
An 8-pack of fine-tip pens originally costs $12.00 and is on sale for 1/3 off. What is the discounted sale price of the pack?
What is $8.00 (12.00 times 1/3)?
In the Hot Air Balloon model, what physical change happens to the balloon's vertical altitude when you subtract (remove) 3 heavy metal washers?
What is rising 3 units upward (because -(-3) = +3)?
In the "Integer War" card game, if you flip a Red 6 (negative) and a Black 4 (positive), what is their product?
What is -24?
What is the decimal equivalent of the fraction 3/8?
What is 0.375?
Eleanor earns $16 from Family 1, $12 from Family 2, and buys pet toys for $9.75. What addition equation shows her net balance
What is 16 + 12 + (-9.75) = $18.25?
Using the $8.00 sale pack from the 100 question, what is the sale price of a single individual pen?
What is $1.00 (8.00 divided by 8)?
What is the absolute physical distance on a number line between a submarine at -42 1/4 feet and a drone at +12 1/2 feet?
What is 54 3/4 feet (or 54.75 feet)?
Explain why -3 times (-5) = +15 using the phrasing "opposite of".
What is "the opposite of 3 groups of -5," which is +15?
Which of these three fractions converts into a repeating decimal: 3/8, 4/5, or 1/6?
What is 1/6 (0.1666...)?
Marlow owes his friend $7 after making $5 for walking a dog. Write the addition equation and state if he made a profit.
What is (-7) + 5 = -2 (No profit; he is still $2 in debt)?
In a survey of 80 students across 4 homerooms, 9 are left-handed. Does this yield a higher or lower percentage than the 10% national article statistic?
What is higher (9/80 = 11.25%, which is greater than 10%)?
Use the Commutative and Associative properties to group compatible numbers and simplify: -3.5 + 8 1/4 + (-6.5) + 1 3/4.
What is 0 (since -3.5 + (-6.5) = -10 and 8.25 + 1.75 = 10)?
Write two equivalent ways to place the negative sign in the fraction -a/b.
What are -a/b and a/-b?
Write the infinitely repeating decimal 0.090909... using correct bar notation
What is 0.overline09?
On an account ledger, if you record a debit of $15.50 followed by a credit of $15.50, what is the net change?
What is $0 (they form a zero pair)?
Mr. Parsh has 27 students. Wet Water is $8.74 for a 24-pack. Aquarius Water is $11.00 for a 32-pack. Which brand is the better buy for his class?
What is Aquarius Water ($11.00 for 1 case covering 27 students, vs. $17.48 for 2 cases of Wet Water)?
A scuba diver starts at -15 feet below sea level, ascends 7 feet, and then descends 9 feet. What is the diver's final position?
What is -17 feet (or 17 feet below sea level)?
In the Open Middle Quotient Challenge, what is the quotient when -9/8 is divided by -1/8?
What is +9(or 9/1)?
Why might a calculator display 0.1666666667 when converting the fraction 1/6?
What is because the calculator rounds or truncates the final visible digit?
A wholesale case of apples costs $64.00, but has a 12.5% supplier discount. What is the final debit recorded on the ledger?
What is $56.00 ($64.00 - 8.00)?
Mali earns an annual base salary of $40,000. This year, he is slated to receive a bonus equal to 2% of his total annual salary paid out quarterly (every 3 months). What will Mali's total earnings be at the end of the year?
What is $43,200?
$40,000 times 0.02 (2%) = $800 per quarter
$800 times 4 quarters = $3,200 in total bonuses
$40,000 + $3,200 = $43,200 total earnings