Miscellaneous 1
Which of the following statements is always true?
A. All whole numbers are natural numbers.
B. All rational numbers are whole numbers.
C. All integers are natural numbers.
D. All natural numbers are integers.
D. All natural numbers are integers.
Simplify the expression using the order of operations. All steps must be shown for full credit.
192 ÷ (10 - 6)^3 + 5^2
28.
(10 - 6)=4; 4^3=64; 192 ÷ 64 + 25 = 28
Classify the numbers in as many ways as possible. Use N for natural, W for whole, I for integer, and R for rational.
23
N, W, I, R
5 2/3 ÷ 4/9
12 3/4
A pack of 8 folders costs $5.48. How much does each folder cost? Round your answer to the hundredths place.
A. $0.66 B. $0.67 C. $0.68 D. $0.69
D. $0.69.
5.48 ÷ 8 = 0.685, which rounds to $0.69.
DAILY TRIPLE
Simplify the expression using the order of operations. All steps must be shown for full credit.
135 - 7^2 + 4(6.3)
111.2.
135 - 49 + 25.2 = 111.2
Classify the numbers in as many ways as possible. Use N for natural, W for whole, I for integer, and R for rational.
-18/6
I, R
because -18/6 = -3
DAILY TRIPLE
Write as a decimal.
7 2/5
7.4
DAILY TRIPLE
Kayla bought a notebook for $4.85, a pack of pencils for $2.35, and an eraser for $0.95. She paid with a $10 bill. How much change did Kayla receive?
$1.85.
Total = $8.15; $10.00 - $8.15 = $1.85.
Simplify the expression using the order of operations. All steps must be shown for full credit.
(5(18 ÷ 3) + 4^2)/(2^4 - 6)
23/5 or 4 3/5.
Numerator 46; denominator 10; 46/10 = 23/5
DAILY DOUBLE
Jordan measured his height in 2020 and was 48 3/4 inches tall. In 2026, he was 61 1/8 inches tall. How many inches did Jordan grow?
12 3/8 inches
Write as a simplified mixed number.
42/9
4 2/3
A club collected 120 cans for a food drive.
1/4 of the cans are vegetables.
3/5 of the cans are soup.
9 cans are fruit.
The rest are beans.
How many cans are beans?
9 cans.
120 - 30 - 72 - 9 = 9.
Classify the numbers in as many ways as possible. Use N for natural, W for whole, I for integer, and R for rational.
0
W, I, R
DAILY TRIPLE
2.448 ÷ 1.8
1.36
Write 0.68 as a simplified fraction.
17/25
Fill in the blank with <, >, or =.
7.306 ___ 7.36
7.306 < 7.36
DAILY DOUBLE
Classify the numbers in as many ways as possible. Use N for natural, W for whole, I for integer, and R for rational.
4.27
R only
15.28 • 3.6
55.008
DAILY DOUBLE
What is
sqrt(529)
23
DAILY DOUBLE
Order the following numbers from least to greatest. Be sure to order them in their original form. Show ALL work.
5.2, 16/3, 5.021, 5 1/4, 5.04
5.021, 5.04, 5.2, 5 1/4, 16/3
Classify the numbers in as many ways as possible. Use N for natural, W for whole, I for integer, and R for rational.
12 3/5
R only
Riley placed -4.8 in the Integers section of a rational-number Venn diagram. Determine if Riley made an error and where the number should have gone. If there is no error, write NONE.
Error: ____________________
Where should it go instead? ____________________
Error: yes. -4.8 should be in Rational Numbers only,
Where should it go? outside Integers.
Solve.
73
7 × 7 × 7 = 343
Multiply 7 by itself 3 times.