Rounding
Round 368 to the nearest hundred.
400
Greatest Common Factor
What number is halfway between 38 and 74?
56
In the number 7,462,891, what is the value of the digit 6?
60,000
Solve: 8 + 3 x 4
20
Round 6,749 to the nearest thousand.
7,000
Find all the factors of 36. How many factors does 36 have? LIST THEM ALL.
1, 2, 3, 4, 6, 9, 12, 18, 36 — 9 factors
A student scores the following points on four math quizzes: 75, 85, 90, and 70. What is the student's average score?
80 %
What number is represented by the following expanded form?
(6,000,000+400,000+20,000+3,000+500+8)
6,423,508
A student is given the following numbers:
17, 21, 29, 33, 37, 49
Questions:
Identify all the prime numbers in the list.
Identify all the composite numbers in the list.
Prime numbers: 17, 29, 37
Composite numbers: 21, 33, 49
Round 8.376 to the nearest hundredth.
8.38
A teacher has 24 pencils and 36 erasers. She wants to organize each item into the greatest possible number of identical groups, with no items left over.
List all the factors of 24.
List all the factors of 36.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
A sixth-grade student records the number of pages they read each day for 6 days:
Monday: 12 pages
Tuesday: 18 pages
Wednesday: 15 pages
Thursday: 20 pages
Friday: 10 pages
Saturday: 15 pages
Question: What is the average number of pages the student reads per day?
15 pages per day
2,700
A school is raising money for a new playground. They collect $1,248.75 from a bake sale, $2,675.50 from a school carnival, $3,489.25 from a donation drive, and $1,856.80 from a raffle.
Question: How much money did the school raise altogether?
$9,270.30
A concert venue sold 18,764 tickets over the weekend. Round the number of tickets sold to the nearest thousand, then round the original number to the nearest ten thousand.
Nearest thousand: 19,000
Nearest ten thousand: 20,000
A school has 42 red markers and 56 blue markers. A teacher wants to divide all the markers into identical supply kits, with the same number of red and blue markers in each kit and no markers left over.
List all the factors of 42.
List all the factors of 56.
Find the greatest common factor (GCF) of 42 and 56.
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
GCF = 14
A basketball player records the number of points scored in 8 games:
12, 18, 15, 22, 17, 14, 20, 18
What is the player's average number of points per game?
17 points per game
Imagine you are living in the year 1912. A historian asks you to figure out what year it was 30 decades ago.
Remember, 1 decade = 10 years.
Questions:
How many years are in 30 decades?
What year was it 30 decades before 1912?
1. 300 years
2. 1612
A school is ordering supplies for a math competition. Each box contains 24 pencils, and the school orders 36 boxes.
Question: How many pencils does the school order altogether?
864 pencils
A school collected $4,786.58 for a fundraiser. Round this amount to the nearest hundred dollars, then round it to the nearest thousand dollars.
Nearest hundred: $4,800; nearest thousand: $5,000
A school is preparing gift bags for a student celebration. They have 72 stickers and 90 pieces of candy. They want to make the greatest possible number of identical gift bags, using all the stickers and candy with nothing left over.
Questions:
List all the factors of 72.
List all the factors of 90.
Find the greatest common factor (GCF) of 72 and 90.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCF = 18
A student measures the lengths of five leaves for a science project:
Leaf 1: 4.5 cm
Leaf 2: 6.2 cm
Leaf 3: 5.8 cm
Leaf 4: 7.1 cm
Leaf 5: 6.4 cm
Question: What is the average length of the five leaves? Round your answer to the nearest tenth.
6.0 cm
A school is going on a field trip. There are 1,368 students attending, and each bus can hold 24 students.
Questions:
How many buses are needed to transport all the students?
Show your work using long division.
Will there be any empty seats on the last bus? Explain your answer.
57 buses are needed.
The quotient is 57, with a remainder of 0.
No students are left over, so all buses can be filled exactly.
A school is building a rectangular garden that is 18 feet long and 12 feet wide. The school wants to put a fence around the entire garden.
Question: How many feet of fencing will the school need to surround the garden completely?
Show your work using the perimeter formula.
The school needs 60 feet of fencing.