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.
ScanSolve AI Answer
Here are the answers to the questions from the image: 1. How many parts is one whole divided into for the given number? When a whole is divided into equal parts, the number of parts represents the denominator of a fraction. 2. How is the part/shaded parts from the whole written? The part or shaded parts from the whole are written as a fraction, where the number of parts chosen (shaded) is the numerator and the total number of equal parts in the whole is the denominator. For example, if 3 parts out of 4 are shaded, it is written as (3)/(4). Use these number lines to answer the questions: a) Number line divided into 4 equal parts between 0 and 1: i) What do the marks on the number line between 0 and 1 show? The marks show: • (1)/(4) • (2)/(4) (which simplifies to (1)/(2)) • (3)/(4) ii) How did you work it out? I worked it out by counting the 4 equal divisions between 0 and 1, which means each division represents one-fourth of the whole. iii) What will the next mark be between 1 and 2? How would you show it? The next mark between 1 and 2 will be 1(1)/(4) or (5)/(4). (5)/(4) b) Number line divided into 2 equal parts between 0 and 1: i) What do the marks on the number line between 0 and 1 show? The mark shows: • (1)/(2) ii) How did you work it out? I worked it out by counting the 2 equal divisions between 0 and 1, which means each division represents one-half of the whole. iii) What will the next mark be between 1 and 2? How would you show it? The next mark between 1 and 2 will be 1(1)/(2) or (3)/(2). (3)/(2) c) Number line divided into 8 equal parts between 0 and 1: i) What do the marks on the number line between 0 and 1 show? The marks show: • (1)/(8) • (2)/(8) (which simplifies to (1)/(4)) • (3)/(8) • (4)/(8) (which simplifies to (1)/(2)) • (5)/(8) • (6)/(8) (which simplifies to (3)/(4)) • (7)/(8) ii) How did you work it out? I worked it out by counting the 8 equal divisions between 0 and 1, which means each division represents one-eighth of the whole. iii) What will the next mark be between 1 and 2? How would you show it? The next mark between 1 and 2 will be 1(1)/(8) or (9)/(8). (9)/(8) Send me the next one 📸