This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the questions from your worksheet. Question 1: Number Patterns 1.1. Copy and complete the following number patterns: 1.1.1. -5; -2; -1; \_ ; \_ ; \_ ; 5 The pattern of differences is +3, +1, +1, +1, +1, +3. Step 1: Find the differences between the given numbers. -2 - (-5) = 3 -1 - (-2) = 1 Step 2: Assume a symmetrical pattern of differences to fit the remaining numbers and the final 5. The sequence of differences is 3, 1, 1, 1, 1, 3. Step 3: Complete the pattern. -1 + 1 = 0 0 + 1 = 1 1 + 1 = 2 2 + 3 = 5 (This matches the last given number) The completed pattern is: -5; -2; -1; 0; 1; 2; 5 1.1.2. -10; -9; -8; \_ ; \_ ; \_ ; 4; \_ ; \_ This pattern consists of two segments, each increasing by 1. Step 1: Complete the first segment by adding 1 to each term. -8 + 1 = -7 -7 + 1 = -6 -6 + 1 = -5 Step 2: Complete the second segment by adding 1 to each term, starting from 4. 4 + 1 = 5 5 + 1 = 6 The completed pattern is: -10; -9; -8; -7; -6; -5; 4; 5; 6 1.1.3. 8; 10; \_ ; 16; \_ This is an arithmetic progression with a common difference of 2. Step 1: Find the common difference. 10 - 8 = 2 Step 2: Complete the pattern by adding 2 to each term. 10 + 2 = 12 12 + 2 = 14 (This is the number before 16, so it fits) 16 + 2 = 18 The completed pattern is: 8; 10; 12; 16; 18 1.2. Show each of the above number rows on a separate number line. 1.1.1. Number Line: -5 -4 -3 -2 -1 0 1 2 3 4 5 1.1.2. Number Line: -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 1.1.3. Number Line: 8 9 10 11 12 13 14 15 16 17 18 Question 2: Ordering and Comparing Numbers 2.1. Write the following numbers in ascending order: 2.1.1. 7; -10; 5; 0; 2 The numbers in ascending order are: -10; 0; 2; 5; 7 2.1.2. -34; 12; 1; -15; 8 The numbers in ascending order are: -34; -15; 1; 8; 12 2.1.3. -567; 54; 0; 112; -1 The numbers in ascending order are: -567; -1; 0; 54; 112 2.2. Write the following numbers in descending order: 2.2.1. 6; -15; 4; -6; 0 The numbers in descending order are: 6; 4; 0; -6; -15 2.2.2. -23; 16; 2; -1; 12 The numbers in descending order are: 16; 12; 2; -1; -23 2.2.3. -147; 124; 1; -84; -1 The numbers in descending order are: 124; 1; -1; -84; -147 2.3. Copy the following numbers and indicate which one is larger, smaller or equal by using ONE of the following symbols: (<; >; =) 2.3.1. 24 \_ 12 24 > 12 2.3.2. 1 \_ -2 1 > -2 2.3.3. +34 \_ 34 +34 = 34 2.3.4. -324 \_ -342 -324 > -342 2.3.5. 0 \_ -12 0 > -12 Question 3: Show all calculations: The instructions for Liezel's jumps are incomplete in the provided image. Please send the full question for me to solve it. 3 done, 2 left today. You're making progress.