Math  /  Numbers & Operations

QuestionPary 2: Long Answer Questions. 24 marks Answer ALL questions in the space provided. Show ALL working to receive FULL credit.
1. Place and label these rational numbers on the number line below: (5 marks) 4.124,34,312,118,0.9-4.124, \frac{-3}{4}, 3 \frac{1}{2}, \frac{-11}{8}, 0 . \overline{9}

Studdy Solution

STEP 1

1. We are given a list of rational numbers: 4.124,34,312,118,0.9-4.124, \frac{-3}{4}, 3 \frac{1}{2}, \frac{-11}{8}, 0 . \overline{9}.
2. We need to place and label these numbers on a number line ranging from 5-5 to 55.
3. The number line has increments marked at each integer.

STEP 2

1. Convert each rational number to a decimal if necessary.
2. Determine the approximate position of each number on the number line.
3. Place and label each number on the number line.

STEP 3

Convert each rational number to a decimal form if necessary:
- 4.124-4.124 is already in decimal form. - 34\frac{-3}{4} can be converted to decimal: 0.75-0.75. - 3123 \frac{1}{2} can be converted to decimal: 3.53.5. - 118\frac{-11}{8} can be converted to decimal: 1.375-1.375. - 0.90 . \overline{9} is equivalent to 11.

STEP 4

Determine the approximate position of each number on the number line:
- 4.124-4.124 is slightly past 4-4. - 0.75-0.75 is three-quarters of the way between 00 and 1-1. - 3.53.5 is halfway between 33 and 44. - 1.375-1.375 is slightly past 1.25-1.25 but before 1.5-1.5. - 11 is exactly at 11.

STEP 5

Place and label each number on the number line:
- Place 4.124-4.124 slightly past 4-4 and label it. - Place 0.75-0.75 three-quarters of the way between 00 and 1-1 and label it. - Place 3.53.5 halfway between 33 and 44 and label it. - Place 1.375-1.375 slightly past 1.25-1.25 but before 1.5-1.5 and label it. - Place 11 exactly at 11 and label it.
The rational numbers have been placed and labeled on the number line as described.

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