Decimals, Fractions, and Percents
Real Number System
Estimating Irrational Values
Word Problems
Misc.
100

Convert 1/10 into a decimal 

What is 0.10 ?

100

Jersey says that 1/3 is an irrational number because when converted to a decimal, it equals 0.3333... Do you agree? Justify your response.

What is no, because if a number can be represented as a fraction, it is rational.

100

Fill in the blank with <, >, or =

2 3/4 ____ √5


What is >

100

On a 20-question multiple choice test, Mike earned a 65%, Jatzary earned an 80%, and Damiyah earned a 70%. How many questions did the students get correct altogether?

What is 43 points?

100

Between what two numbers would you expect to find −√10?

What is -3 and -4?

200

Convert .20 into a simplified fraction.

What is 1/5?

200

Is √3 (√27) rational or irrational ? Justify your response. 

What is rational, because √3 (√27) = √81, and √81 =9, which is natural 

200

Order these numbers from least to greatest

-√3,√10, 3/4 , −1.5

What is -√3, -1.5, 3/4,√10 ?

200

Lucia’s account balance is $83.25 on Monday night. Lucia deposits $44.60 into her bank account on Tuesday morning. Tuesday afternoon, she withdraws $26.30 and $21.30. Does Lucia have more or less money on Tuesday night than she did on Monday night?

What is Lucia has less money than she did on Monday night?

200

Explain how to determine if a number under a square root is a perfect square?

What is a number multiplied by itself whose value under the square root equals the number you started with?

300

Grace, Madi, and Bailey are planning to split the cost of an apartment. If Grace pays 1/4, Bailey pays 0.20, and Madi pays 35%, will they be able to cover the cost of the apartment? Justify your response. 

What is no, they are short by 20%

300

What number is included in the whole number category  that is not included in the natural number category?

What is zero?

300

Between what two integers would you find √68 ?

What are 8 and 9?

300

Each morning a gardener uses 24 3/4 gallons of water from a barrel. Each afternoon, she uses 15 1/4 gallons of water. How much water has been used after 5 days?

What are 200 gallons?

300

In at least 3 steps, explain how to estimate the value of an imperfect square?

What is 

  1. Write an inequality using your imperfect square in between 2 perfect squares

  2. Decide which one it is closer to

  3. Take the square root of the perfect squares

  4. Simplify the imperfect square by rounding to the nearest 10ths

400

Aliyah jogged 2/9 hour on her first day of training for soccer team. What percent represents the amount of time she spent jogging?

What is 22% ?

400

Is √26 a rational or irrational number? Justify your answer. 

What is irrational number because 26 is an imperfect square?

400

Estimate the value of √5 + √17

What is between 6.3 and 6.5?

400

A sugar-water solution freezes at −1.8°C. A saltwater solution freezes at −13.6°C. What is the difference between the two freezing points?

What is 11.8°C difference?

400

About 17% of kids will attend an overnight summer camp, 11/50 will attend a day camp, and 0.59 will attend no summer camp at all. Which group of kids is the greatest?

What is .59, kids who will not attend camp?

500

There are 25 choir students performing in the holiday concert. Of the students, 11 are sopranos. What decimal represents the fraction of students that are altos?

What is .56?

500

True or false: Some whole numbers are irrational numbers. You must justify your answer!

What is false because whole numbers can be expressed as a ratio between two integers?

500

Is the value to this problem rational or irrational? 

√10 + (−√10)

What is rational?

500

Bethany plays a video game in which she starts with 0 points. In round 1, she loses 3 1⁄2 points; in round 2, she wins 28 1⁄2 points; and in round 3, she loses another 3 1⁄2 points. What is her final score?

What is 21.5 points?

500

What city and state is Ms. Shine from?

What is Fort Wayne, IN?