Math Problem Statement

The original question submitted by the user includes problems related to decimals, clock angles, and directional turns.

Solution

I can read the mathematical content from the image to help with solutions. Let me analyze the questions and solve them one by one:


8) Write as a decimal "Thirty and one-tenth":
Options:
(a) 30.2
(b) 3.1
(c) 31.2
(d) 30.1

Solution:
"Thirty and one-tenth" means 30+0.1=30.130 + 0.1 = 30.1.
Correct Answer: (d) 30.1


9) The angle measure between the hands of the clock in the adjoining figure is:
Options:
(a) 90°
(b) 30°
(c) 180°
(d) 60°

The clock shows 1:00 p.m.. The angle between the hour hand and minute hand is 30×number of hours between them30^\circ \times \text{number of hours between them}.

From 12 to 1, there is a 1-hour difference:
30×1=3030^\circ \times 1 = 30^\circ.
Correct Answer: (b) 30°


10) A traffic policeman is standing looking East. In which direction will he look if he turns to his left three right angles?
Options:
(a) North
(b) South
(c) West
(d) East

Solution:
1 right angle = 9090^\circ.
3 right angles = 3×90=2703 \times 90^\circ = 270^\circ.

If he starts facing East and turns 270° to the left, he will end up facing North.
Correct Answer: (a) North


Let me know if you'd like further details or explanations! Here are 5 related questions to expand understanding:

  1. What is the decimal form of "Forty-five and two-tenths"?
  2. How would you calculate the angle between clock hands at 3:15?
  3. If someone faces South and turns left by two right angles, which direction will they face?
  4. Convert 3153 \frac{1}{5} into a decimal.
  5. Explain how the clock angle changes when the time is 9:15.

Tip: To calculate clock angles, always remember the formula:
Angle=30×Hour112×Minutes\text{Angle} = |30 \times \text{Hour} - \frac{11}{2} \times \text{Minutes}|.

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Math Problem Analysis

Mathematical Concepts

Decimals
Angles in Clocks
Direction and Rotation

Formulas

Decimal conversion: Whole number + fractional part
Clock angle formula: |30 × Hour - (11/2) × Minutes|
Directional rotation: Right angle = 90°, Total rotation = Number of right angles × 90°

Theorems

Basic Geometry
Measurement of Angles
Directional Orientation

Suitable Grade Level

Grades 5-7