Explain these questions 9-15 with diagram and images or figure if possible in the video and write all step by step solution of each question in simplest way for class 8 child..read image uploaded carefully for chapter fraction and decimals.of class 8 india,delhi.explain in best way---Here is the extracted content from the image:
**Question 9:**
The figure below shows a view of a long jump pit, take off line and pit-side indicator board at a long jump competition. The distance between the take off line and the nearer edge of the pit is 1 m. A jump is always measured from the TAKE OFF LINE. The cross on the pit marks the place where Anju lands after a jump. Assuming that she took off from the proper place, about how long was Anju's jump
**Diagram Description:**
- Type: Schematic diagram illustrating a long jump pit measurement setup.
- Main Elements:
- Scale: A horizontal ruler-like scale along the top edge, labeled "Metres" on the left. The scale displays numbers decreasing from left to right (7, 6, 5, 4). There are finer markings between the integer values, representing tenths (e.g., between 5 and 4, there are marks for 4.9, 4.8, etc.).
- TAKE OFF LINE: A vertical line positioned directly below the '5' mark on the scale. An arrow points from the text label "TAKE OFF LINE" to this line.
- LONG JUMP PIT: An area depicted below the scale and take-off line, labeled "LONG JUMP PIT".
- Pit Edge: Based on the text, the nearer edge of the pit is 1 m from the TAKE OFF LINE. Given the take-off line is at the '5' mark and the scale decreases to the right, the pit edge is implied to be at the '4' mark on the scale.
- Landing Mark (X): A cross (X) is marked within the LONG JUMP PIT area. Its position on the scale above appears to be slightly to the right of the '5' mark and to the left of the '4.9' mark, very close to the '5' mark.
**Options:**
Option A: 5.60 m
Option B: 5.3 m
Option C: 5.06 m
Option D: 5.03 m
---
**Question 10:**
Which of the following will be equal to 1/4?
**Options:**
Option A: one hundredth of 250
Option B: 50% of 5
Option C: 100% of 0.25
Option D: 140% of 1
---
**Question 11:**
6 out of a thousand is the same as ____
**Options:**
Option A: 6%
Option B: 0.60%
Option C: 0.01%
Option D: 0.06%
---
**Question 12:**
Which of these can be expressed as 5/3 ?
**Options:**
Option A: (2/3) + (2/3) (represented as a vertical stack of 2/3 over 2/3)
Option B: 5 + 5 + 5
Option C: 3 x 3 x 3 x 3
Option D: (7 - 2) x (7 - 2) x (7 - 2)
---
**Question 13:**
90 for every 100 is the same as ____ for every 200.
**Options:**
Option A: 210
Option B: 190
Option C: 180
Option D: 90
---
**Question 14:**
If 1.225 x 1.55 = 1.89875, then which of the following numbers would 122.5 x 15.5 be closest to?
**Options:**
Option A: 190
Option B: 1900
Option C: 18000
Option D: 19000
---
**Question 15:**
The product 22(1/2) x 10 lies between ____
**Options:**
Option A: 3 and 7
Option B: 21 and 25
Option C: 218 and 222
Option D: 223 and 227
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Let's solve Question 9 about long jump measurement. In long jump, the distance is always measured from the take-off line to where the athlete lands. Looking at the diagram, we can see the scale at the top shows metres. The take-off line is at the 5-metre mark. The cross marking Anju's landing spot is very close to the 5-metre mark, just slightly past it. By carefully reading the scale, we can see the landing position is at approximately 5.03 metres from the starting point. Since we measure from the take-off line, Anju's jump distance is about 5.03 metres. The answer is option D.
Let's solve Questions 10 and 11 about fractions and percentages. For Question 10, we need to find which option equals one-fourth. Let's check each option: Option A is one percent of 250, which equals 2.5. Option B is 50 percent of 5, which also equals 2.5. Option D is 140 percent of 1, which equals 1.4. But Option C is 100 percent of 0.25, which equals 0.25, and 0.25 is exactly equal to one-fourth. So the answer is C. For Question 11, 6 out of 1000 means 6 divided by 1000, which equals 0.006. To convert to percentage, we multiply by 100, getting 0.6 percent. The answer is B.
Let's solve Questions 12 and 13. For Question 12, we need to find which expression equals five-thirds. Let's check each option: Option A is two-thirds plus two-thirds, which equals four-thirds, not five-thirds. Option B is 5 plus 5 plus 5, which equals 15. Option C is 3 times 3 times 3 times 3, which equals 81. Option D is 7 minus 2, all cubed, which equals 5 cubed or 125. None of these options actually equal five-thirds, which is approximately 1.667. For Question 13, this is a proportion problem. If 90 out of 100 equals x out of 200, we can set up the equation: 90 over 100 equals x over 200. Cross multiplying, we get x equals 90 times 200 divided by 100, which equals 180. The answer is C.
Let's solve Question 14 about decimal multiplication. We're given that 1.225 times 1.55 equals 1.89875, and we need to find what 122.5 times 15.5 equals. The key is to notice the pattern in decimal places. In 122.5, there's 1 decimal place. In 15.5, there's also 1 decimal place. So the result should have 2 decimal places total. We can think of this as 1225 times 155, divided by 100. Since we know the pattern from the given calculation, 122.5 times 15.5 equals 1898.75. Looking at the options, this is closest to 1900. The answer is B.
Let's solve Question 15 about mixed number multiplication. We need to find 22 and one-half times 10. First, let's convert the mixed number to an improper fraction. 22 and one-half equals 22 plus one-half, which equals 45 over 2. Now we multiply: 45 over 2 times 10 equals 450 over 2, which equals 225. Looking at the answer choices, we need to find which range contains 225. Option A is 3 to 7, which is too small. Option B is 21 to 25, still too small. Option C is 218 to 222, which is close but 225 is outside this range. Option D is 223 to 227, and 225 falls perfectly within this range. The answer is D.