Divisibility Rules / Types of Numbers
List out the first 4 whole numbers.
0, 1, 2, 3
Identify the error in this calculation and write the correct answer:
10 + 5 x 2 = 15 x 2 = 30.
Multiplication must be done before addition. Correct answer: 20.
Calculate both:
(-2) x (-3)
(-2) + (-3)
1. +6
2. -5
A shopkeeper has $500. He spends 2/5 of it on stock. Find the remaining amount.
(Show the steps)
$300
Convert the word phrase into an algebraic expression:
"Subtract 7 from the product of 3 and x."
3x - 7
Explain the main difference between a natural number and a whole number.
Natural numbers are counting numbers starting at 1 (1, 2, 3, ...), while whole numbers include zero (0, 1, 2, 3, ...)
Evaluate: 0.4 + 0.6 x 0.5.
(Show the steps)
0.7
Evaluate: (-4) - (-7) + (-3) x 2.
(Show the steps)
-3
A freezer starts at 5 degree Celsius. Its temperature drops by 3 degree Celsius every hour for 6 hours, then rises by 4 degree Celsius. What is the final temperature?
(Show the steps)
-9 degree Celsius
Simplify: x - 3 - 2x + 5.
-x + 2
Find the product of the first 3 prime numbers.
2 x 3 x 5 = 30
Simplify completely: 100 / 10 / 5.
= 10 / 5 = 2
Evaluate: -3/4 + (-1/2) x (-3).
(Show the steps)
+3/2 (or +0.75)
An online test has 20 multiple-choice questions:
+5 points for a correct answer
-3 points for an incorrect answer
-1 point for an unanswered question
Sam answered 12 correctly, 5 incorrectly, and left 3 unanswered. Is his final score greater than 40?
(Show the steps)
Yes, 42 > 40.
Convert this algebraic expression into a word sentence:
"2(y + 4)"
Multiply 2 by the sum of y and 4.
(or other valid answer)
Explain the rule for divisibility by 6. Is 4 128 divisible by 6?
A number is divisible by 6 if it is divisible by both 2 (even) and 3 (sum of digits is a multiple of 3).
4 128 is even, and 4 + 1 + 2 + 8 = 15 (divisible by 3), so yes.
Evaluate: 1.2 / 0.3 + 3/4 x 8.
(Show the steps)
10
(-0.6) / (-0.2) - (-1.5) x 4.
(Show the steps)
9
A tank contains 120 L $ of water. In the morning, 1/4 of the total water is used. In the afternoon, 1/3 of the remaining water is used. How much water is left in the tank?
(Show the steps)
60 L.
Simplify: 3a - 4b - 5a + 2 + 8b - 7.
-2a + 4b - 5
A 4-digit number is written as 3 5K2.
Find the digit K so that 3 5K2 is divisible by 4 and divisible by 3.
K=9
Evaluate: 60 / 12 / 2 + 1.5 x 1/3 .
(Show the steps)
3
[(-2)^3 - (-10)]/(-0.5) + (-1.2) x (-5).
(Show the steps)
2
A student takes a 20-question competition: +5 for correct, -3 for incorrect, -1 for unanswered.
Student A got 10 correct, 7 incorrect, and left 3 unanswered.
Student A needs at least 30 points to pass. Did Student A pass?
(Show the steps)
No, 26 < 30, so Student A did not pass.
Convert this algebraic expression into a word sentence:
"(b^2 - c) / a"
Subtract c from the square of b, and then divide the difference by a.