Any number that has 9 as a factor must also have what other number as a factor?
Any number that has 9 as a factor, must also have 3 as a factor because 3 is a factor of 9 and 9 is a multiple of 3.
100
What is the definition of a prime number? Give an example.
A prime number is a number that has exactly two distinct factors. **HINT FOR ANOTHER PROBLEM**
100
EQUIVALENT FRACTIONS are fractions that have the same value but different denominators.
Name a fraction that is equivalent to 1/2.
We can say that 2/4 and 4/8 are EQUIVALENT to 1/2 because the total value is the same but the size of the pieces are different.
100
List these fractions from least to greatest.
5/4---6/4---1/4---2/4
Answer: 1/4---2/4---5/4---6/4
100
Fill in the these fractions on a number line (just approximate it)
1/10---4/5---1/2---2/10
1/10---2/10---1/2----4/5
200
List two numbers that are multiples of both 2 and 5.
10 and 20 are both multiples of 2 and 5 because you can can to 10 and 20 by skip counting by 2 or 5 (in other words, they are both factors of 10 and 20)
200
Define what a composite number is and give an example.
A composite number is a number that has more than two distinct factors.
Example: 4 is composite because it has more than 2 distinct factors (1,2,4).
200
Name a fraction that is EQUAL to 2/3.
*Hint: This is a trick question*
2/3 is the only answer to this question.
We say that 2/3 is EQUAL to 2/3 because the numerator and the denominator are *EXACTLY* the same. We would NOT say that 2/3 is EQUAL to 4/6, we could call them EQUIVALENT.
200
If we have a number line that goes only from 0 to 1, can we put 8/6 on that number line?
No, you cannot put 8/6 on a number line that only goes up to 1 whole because 8/6 is larger than 1 whole.
200
4/6 = ?/24
Draw it and prove it!
4/6 = 16/24 (proved by drawing a multiplication arrow of x2 to the new num. and denom.)
300
True or False, the FIRST common multiple of 6 and 12 is 72.
False, the first common multiple of 6 and 12 is 12.
1x6=6 1x12=12
2x6=12 2x12=12
300
List the first five prime numbers.
2,3,5,7,11
300
Find two equivalent fractions to 4/6 where one answer must have a larger denominator and one answer must have a smaller denominator.
2/3 and 8/12
300
7/8 _______ 15/16
Fill in the blank:
7/8 is less than 15/16.
7/8 = 14/16
300
On a number line place these fractions.
3/5----1/2-----2/6
2/6------1/2-----3/5
400
List the first five multiples of 22 in 15 seconds.
22,44,66,88,110
400
Why is one NOT a prime number? You must use the definition of a prime number with your answer.
The number one is not prime because it does not have exactly 2 DISTINCT factors, it only has 1 factor.
400
Name two fractions that are equivalent to 1/5 where your answers must have a 1 in the numerator and a 5 in the denominator.
10/50 and 100/500.....many more.
400
How can we reduce 12/18 to a smaller, equivalent, fraction?
You can divide 12 and 18 by a common factor. We can divide by 2 or 6.
400
14/12 is _______ 14/13
greater than.
500
56 is a multiple of both 1 and 56. List all of the other factors of 56 from least to greatest.
1,2,4,7,8,14,28,56
500
What is the largest prime number under 100?
Hint: Use the divisibility rule for 3 to help you
(A number is divisible by three if the sum of the digits is divisible by 3)
97
500
1 and 1/3
2 and 3/4
What do we call these types of fractions?
Mixed fractions.
500
List the following fractions from least to greatest and explain your thinking.
4/4--- 4/12 ---- 4/3 ----- 4/7 ----- 4/9
4/12 --- 4/9 --- 4/7 --- 4/4 --- 4/3
500
I have a seesaw with two fractions on each side.
On one side is the fraction 3/9---on the other side is 15/45.
Explain what will happen to this seesaw and prove it with a drawing.
The seesaw will balance because 3x5 = 15 (new numerator) and 9x5=45 (new denominator).