Whole Numbers

530

Step 1: On the number line, numbers increase as we move to the right. Step 2: A number to the right of 503 must be greater than 503. Step 3: Check each option: 502 < 503 (left), 500 < 503 (left), 499 < 503 (left), 530 > 503 (right). Step 4: 530 is greater than 503, so it lies to the right of 503 on the number line. Therefore 530 > 503.

7

Step 1: We start at position 3 on the number line. Step 2: Addition on a number line means moving to the right. Step 3: We make 4 jumps of 1 unit each to the right: 3 → 4 → 5 → 6 → 7. Step 4: After 4 jumps, we land at 7. This shows that 3 + 4 = 7. Common mistake: Some students start counting from 4 instead of 3, getting 8.

All natural numbers are whole numbers

Step 1: Natural numbers are 1, 2, 3, 4, ... Step 2: Whole numbers are 0, 1, 2, 3, 4, ... (natural numbers plus zero). Step 3: Every natural number (1, 2, 3, ...) is also present in the collection of whole numbers. Step 4: But 0 is a whole number that is NOT a natural number. So all natural numbers are whole numbers, but not all whole numbers are natural numbers.

2

Step 1: Subtraction on the number line means moving to the LEFT. Step 2: Start at 7 on the number line. Step 3: Move 5 jumps to the left: 7 → 6 → 5 → 4 → 3 → 2. Step 4: After 5 jumps to the left, we reach 2. So 7 - 5 = 2. Common mistake: Moving to the right instead of left for subtraction.