Question

do you understand?

1. does it take more inches or feet to equal a given length? explain.
2. which is a greater distance, 9 yards or 9 miles?

do you know how?
for 3–4, convert each unit.

1. 2 miles = ______ yards
2. \\(\frac{2}{3}\\) yard = ______ feet

independent practice
in 5–7, write > or < in each \\(\bigcirc\\) to compare the measures.

1. 6 inches \\(\bigcirc\\) 6 feet
2. 2 yards \\(\bigcirc\\) 7 feet
3. 4 yards \\(\bigcirc\\) 100 in

for 8–11, convert each unit.

1. 8 yards = ______ inches
2. 28 yards = ______ feet
3. 18 feet = ______ inches
4. 7 miles = ______ yards

topic 13 | lesson 13 - 1

Explanation:

Question 1:

Step1: Recall unit relationships

1 foot = 12 inches, so inches are smaller than feet.

Step2: Analyze the number of units

For a given length, since 1 foot is 12 inches, to represent the same length, we need more of the smaller unit (inches) than the larger unit (feet). For example, 1 foot = 12 inches, so to make 1 foot, we need 12 inches (more inches) and 1 foot (fewer feet).

Step1: Recall the relationship between miles and yards

1 mile = 1760 yards, so miles are much larger units than yards.

Step2: Compare the two quantities

9 miles is 9 times 1760 yards, which is way more than 9 yards. So 9 miles is a greater distance.

Step1: Recall the conversion factor

1 mile = 1760 yards.

Step2: Multiply the number of miles by the conversion factor

To convert 2 miles to yards, we do \(2\times1760 = 3520\) yards.

Answer:

It takes more inches. Because 1 foot equals 12 inches, so a smaller unit (inch) will be needed in greater quantity to equal the same length as a larger unit (foot).

Question 2: