Rational Rookies
The decimal equivalent of 1/18
0.05 repeating
Would the sum to this equation be positive or negative:
-2 - (-4)
positive
What is 6/7 divided by 4/1?
6/28 OR 3/14
Katie makes cookies, she uses 2/3 a cup of flour and 3/5 a cup of chocolate chips. That all equals one batch and she wants to make 5 how many cups of flour and chocolate chips combine does she need for all 5 batches
6 1/3 c OR 6 5/15 c
This is the number you add to a given number to get zero.
Additive Inverse
Not Rational
What is the sum of -4 1/2 and 3 1/2?
-1
A basketball players point average is 12.7 points a game. If 4 of his team mates have the same average. what is the team's combined average?
63.5
Brianna works as a customer service representative. She knows that the amount of her yearly bonus is $155, but $2.50 is taken away for each complaint about her during the year. What is her bonus if there are 12 complaints about her during the year?
$125
This type of number can be written as a fraction, where both the numerator and denominator are integers and the denominator is not zero.
Rational Number
The directions on a seed packet say to plant the seeds 1 7/18 inches apart. What is the decimal equivalent of this mixed number?
1.38 repeating
Solve the equation:
20.25 - 9 1/2 + 11
21 3/4 OR 21.75
Find the product of (-3/5) and (-1.5)
0.9 OR 9/10
While playing a board game, Cecilia had to move back 6 spaces 9 times. What integer represents Cecilia's movement on the board for those 9 turns?
-54
This kind of decimal has a finite number of digits; it ends rather than repeating forever.
Terminating Decimal
What is the difference between a repeating decimal and a terminating decimal?
A repeating decimal has non-zero repeating digits, while a terminating decimal ends in 0.
Find the value of the expression -1/3 - (-5/12)
1/12
An airplane descends at a rate of 2,700 feet per minute. Once the airplane starts its descent, what will be the change in elevation after 3.5 minutes?
- 9,450 feet
Anya makes withdrawals from and deposits into her bank account. What integer represents the change in amount if Anya deposits $12 once each day for four days?
48
Also called a reciprocal, this refers to a flipped fraction.
Multiplicative Inverse
9 friends vote on their favorite fruit. Only one person in the group votes for kiwi. Is the equivalent decimal to this fraction a rational number? Explain.
Yes, it is rational because it comes out at 0.1 repeating, which is a rational number. All fractions are rational numbers.
How would you subtract a negative fraction from a positive decimal? Explain.
Convert both numbers into fraction or decimal form, and then add the opposite of the negative number.
John says the quotient of (-3/4) / 1/4 is (-1/3). What is the correct quotient, and what mistake did John likely make?
The correct quotient is -3. John likely used the incorrect reciprocal.
Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 mile she descends. If she started at sea level and has hiked down to the fourth rest station, what is Sasha's elevation now?
2 2/3 miles below sea level
When do I use an Additive Inverse?
In subtraction with rational numbers - keep / change / opposite.