Easy Level Worksheet Questions
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
Integers are whole numbers that include positive numbers, negative numbers, and zero. Understanding integer operations (addition, subtraction, multiplication, and division) and their properties is fundamental for all advanced mathematics and real-world problem solving.
Let's start with basic integer concepts and simple operations.
1. Write all integers between –2 and 1.
Step 1: List numbers between -2 and 1 (not including -2 and 1)
Answer:
Perfect! The integers between -2 and 1 are -1 and 0.
__{.m-red}2. Fill in the blanks: 7 + (–3) = __
Step 1: When adding a negative number, we subtract its absolute value
Step 2: 7 + (-3) = 7 - 3 =
Excellent! Adding a negative is the same as subtracting the positive.
3. What is the additive inverse of –9?
Step 1: Additive inverse means the number that when added gives 0
Step 2: (-9) + ? = 0, so the answer is
Great! The additive inverse of -9 is +9.
4. Write the successor of –1.
Step 1: Successor means the next number (add 1)
Step 2: Successor of -1 = -1 + 1 =
Perfect! Successor means the very next integer.
5. Write the predecessor of –1.
Step 1: Predecessor means the previous number (subtract 1)
Step 2: Predecessor of -1 = -1 - 1 =
Excellent! Predecessor means the integer just before.
6. Arrange the integers 0, –3, 4, –1, 2 in ascending order.
Step 1: Ascending order means from smallest to largest
Step 2: Order:
Outstanding! Remember: negative numbers are smaller than positive numbers.
7. Find: (–6) – (–4)
Step 1: Subtracting a negative number means adding the positive
Step 2: (-6) - (-4) = (-6) + 4 =
Great! Subtracting a negative is like adding the positive.
8. What is the result of multiplying any number by 0?
Answer:
Perfect! The zero property of multiplication: any number × 0 = 0.
__{.m-red}9. Fill in the blank: (–2) × (–5) = __
Step 1: When multiplying two negative numbers, the result is positive
Step 2: (-2) × (-5) =
Excellent! Negative × negative = positive.
10. The integer which is its own additive inverse is:
Step 1: We need a number where: number + additive inverse = 0
Step 2: Only 0 + 0 = 0, so the answer is
Perfect! Zero is the only number that is its own additive inverse.
Drag each operation to its correct result type:
Part B: Short Answer Questions (2 Marks Each)
1. Find the value of:
(a) (–8) + (–7) =
Step 1: When adding two negative numbers, add their absolute values and keep negative sign
Step 2: (-8) + (-7) = -(8 + 7) =
(b) 13 + (–5) + (–4) =
Step 1: Group and calculate: 13 + (-5) + (-4) = 13 - 5 - 4
Step 2: 13 - 9 =
Excellent! Remember to combine like signs and then add/subtract.
2. Subtract:
(a) 6 – (–2) =
Step 1: Subtracting a negative means adding the positive
Step 2: 6 - (-2) = 6 + 2 =
(b) (–3) – 4 =
Step 1: Subtracting a positive from a negative
Step 2: (-3) - 4 = (-3) + (-4) =
Great! Subtraction: change the sign of the second number and add.
3. Evaluate:
(a) (–2) × 6 × (–1) =
Step 1: Count negative signs: 2 negative numbers
Step 2: Even number of negatives = positive result: 2 × 6 × 1 =
(b) 5 × (–2) × (–3) =
Step 1: Count negative signs: 2 negative numbers
Step 2: Even number of negatives = positive result: 5 × 2 × 3 =
Perfect! Even number of negative factors gives positive result.
Part B: Short Answer Questions (2 Marks Each) - Continued
4. Find the quotient:
(a) (–36) ÷ 6 =
Step 1: Dividing negative by positive gives negative result
Step 2: (-36) ÷ 6 =
(b) 64 ÷ (–8) =
Step 1: Dividing positive by negative gives negative result
Step 2: 64 ÷ (-8) =
Excellent! Different signs in division give negative results.
5. Find the quotient:
(a) (–20) ÷ 4 =
Step 1: Negative ÷ positive = negative
Step 2: (-20) ÷ 4 =
(b) (–18) ÷ (–6) =
Step 1: Negative ÷ negative = positive
Step 2: (-18) ÷ (-6) =
Perfect! Same signs in division give positive results.
Test your understanding with these multiple choice questions:
For each question, click on the correct answer:
1. The value of (–5) + (–6) is:
(a) 1 (b) –11 (c) –1 (d) 11
Correct! When adding two negative numbers, add their absolute values and keep the negative sign: (-5) + (-6) = -11.
2. Additive inverse of 7 is:
(a) 0 (b) –7 (c) 7 (d) –1
Correct! The additive inverse of 7 is -7 because 7 + (-7) = 0.
3. Product of two negative integers is:
(a) Positive (b) Negative (c) Zero (d) Can't say
Correct! When multiplying two negative numbers, the result is always positive.
4. 9 – (–6) =
(a) 15 (b) –3 (c) 3 (d) –15
Correct! 9 - (-6) = 9 + 6 = 15. Subtracting a negative is the same as adding the positive.
5. (–2) × (–4) × (–5) =
(a) 40 (b) –40 (c) –20 (d) 20
Correct! Three negative numbers multiplied together: odd number of negatives gives negative result. 2 × 4 × 5 = 40, so (-2) × (-4) × (-5) = -40.