Explanation

1 meter = 39.370 inches (exactly, by definition).

Explanation

3900 divided by 500 equals 7.8.

Explanation

Convert the decimal to a fraction: The decimal 1.269 equals 1 + 0.269.

Express the decimal part as a fraction: 0.269 can be written as 269/1000.

Combine the whole number and fractional part: Therefore, 1.269 is equal to 1 + 269/1000.

Express as a mixed number: This equals 1 269/1000. 

Explanation

x + 5x + 10x = 640

16x = 640

x = 40

∴ no. of notes = 40×3=120

Explanation

1 yard = 36 inches  

So,  

1 square yard = 36 in × 36 in = 1296 square inches

Explanation

Multiply normally: 1 × 1 = 1

Count decimal places: 2 (from 0.01) + 3 (from 0.001) = 5

Place decimal: 0.00001

Explanation

1. Divide 5000 by 73:

$$5000÷73\approx 68.49$$

2. The next whole number after 68.49 is 69.

3. Multiply:

$$73\times 69=5037$$

Explanation

(0.7) ^? + 3 = (0.49 x 0.343/0.2401)^4

(0.7)^? + 3 = (0.7)^4

On comparing the exponents both sides, we get

? + 3 = 4

∴ ? = 4 - 3 = 1

Explanation

Since the square has four equal sides, the distance covered in one side can be found by dividing the total distance covered (8 km) by 4 (the number of sides):

8 km ÷ 4 = 1 km

So, the length of one side of the square ground is 1 km.

Explanation

Month 1: Rs. 4.56

Month 2: Rs. 3.82

Month 3: Rs. 5.06

Total savings = Rs. 4.56 + Rs. 3.82 + Rs. 5.06

= Rs. 13.44