Question

To convert between units, you need to know the relationship between units. For example, one mile equals 5280 feet. This relationship can now be used as a conversion factor, set up as required by the question. For each conversion, choose the correct arrangement of the conversion factor and complete the calculation 1. Convert 7860 feet to miles 7860 feet x (A)

A: 1 mile
B: 5280 feet 7860 feet miles 2. Co 0.5 miles to feet 0.565 miles x (C) TD
C: Choose...
D: Choose 0.565 miles feet

Answer 1

To convert 7860 feet to miles, multiply by the conversion factor 1 mile / 5280 feet. To convert 0.5 miles to feet, multiply by the conversion factor 5280 feet / 1 mile.

Step-by-step explanation:

To convert from feet to miles, we can use the conversion factor 1 mile = 5280 feet. To convert 7860 feet to miles, we multiply 7860 feet by the conversion factor:

7860 feet × 1 mile / 5280 feet = 1.4879 miles

So, 7860 feet is approximately 1.4879 miles.

To convert from miles to feet, we use the conversion factor 5280 feet = 1 mile. To convert 0.5 miles to feet, we multiply 0.5 miles by the conversion factor:

0.5 miles × 5280 feet / 1 mile = 2640 feet

So, 0.5 miles is equal to 2640 feet.

Answer 2

1. 7860 Feet = 1.488 miles

A= 1

B= 5280

2. 0.565 miles = 2983.2 feet

C= 0.565

D= 1

Step-by-step explanation:

1. Convert 7860 feet to miles

1 miles= 5280 feet

1 Feet= 1/ 5280 miles

7860 Feet= 7860 ( 1/ 5280) miles

7860 Feet = 1.488 miles

A= 1

B= 5280

2. Convert 0.565 miles to feet

1 mile= 5280 feet

0.565 miles = 5280 feet * (0.565/1)

0.565 miles = 2983.2 feet

C= 0.565

D= 1

We see that when we have to convert feet into miles we divide the number by 5280 because feet are smaller than miles. Similarly when we have to convert miles into feet we multiply by the given number because miles are greater than feet.

The above method used is called the unitary method but we should always keep in mind that conversion from smaller to bigger units require divsion and from bigger to smaller units require multiplication.