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Here are the solutions for the remaining questions of .1:

5. Represent the following integers on a number line:

To represent integers on a number line, we draw a straight line, mark 0 at its center. Positive integers are marked to the right of 0 and negative integers are marked to the left of 0 at equal distances.

  • 5(a) +5+5

    • Step 1: Draw a number line and mark 0.
    • Step 2: Count 5 units to the right from 0 and mark that point as +5+5.
    • Answer: ⋯−2−10123456…\dots -2 \quad -1 \quad 0 \quad 1 \quad 2 \quad 3 \quad 4 \quad \boxed{\mathbf{5}} \quad 6 \dots
  • 5(b) −10-10

    • Step 1: Draw a number line and mark 0.
    • Step 2: Count 10 units to the left from 0 and mark that point as −10-10.
    • Answer: …−10−9−8…−101…\dots \boxed{\mathbf{-10}} \quad -9 \quad -8 \quad \dots \quad -1 \quad 0 \quad 1 \quad \dots
  • 5(c) +8+8

    • Step 1: Draw a number line and mark 0.
    • Step 2: Count 8 units to the right from 0 and mark that point as +8+8.
    • Answer: …012…789…\dots 0 \quad 1 \quad 2 \quad \dots \quad 7 \quad \boxed{\mathbf{8}} \quad 9 \quad \dots
  • 5(d) −1-1

    • Step 1: Draw a number line and mark 0.
    • Step 2: Count 1 unit to the left from 0 and mark that point as −1-1.
    • Answer: ⋯−2−1012…\dots -2 \quad \boxed{\mathbf{-1}} \quad 0 \quad 1 \quad 2 \quad \dots
  • 5(e) −6-6

    • Step 1: Draw a number line and mark 0.
    • Step 2: Count 6 units to the left from 0 and mark that point as −6-6.
    • Answer: ⋯−7−6−5…−101…\dots -7 \quad \boxed{\mathbf{-6}} \quad -5 \quad \dots \quad -1 \quad 0 \quad 1 \quad \dots

6. Represent the points A, B, C, D, E, F, G, H, O and P as integers on the given number line.

To represent points on a number line, we start from 0 and move to the right for positive values, and to the left for negative values.

  • Step 1: Identify the 0 point on the number line. Here, point OO is at 0.
  • Step 2: For points to the right of 0, add 1 for each unit.
  • Step 3: For points to the left of 0, subtract 1 for each unit.
  • Answer:
    • O=0O = \boxed{\mathbf{0}}
    • P=+1P = \boxed{\mathbf{+1}}
    • H=+2H = \boxed{\mathbf{+2}}
    • G=+3G = \boxed{\mathbf{+3}}
    • F=+4F = \boxed{\mathbf{+4}}
    • E=+5E = \boxed{\mathbf{+5}}
    • D=−2D = \boxed{\mathbf{-2}}
    • C=−3C = \boxed{\mathbf{-3}}
    • B=−4B = \boxed{\mathbf{-4}}
    • A=−5A = \boxed{\mathbf{-5}}
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