Fill in the blank to convert as indicated.13,200ft=13,200ft=_{} __ mi

25mi⁡25\operatorname{\mathrm{mi}}

7,920mi⁡7,920\operatorname{\mathrm{mi}}

10. Measurement

US Units of Length

10. Measurement

US Units of Length: 동영상 및 연습문제

주제 요약

US Units of Length focuses on converting and operating with inches, feet, yards, and miles. The key equivalent measures are $12\text{ in}=1\text{ ft}$ , $3\text{ ft}=1\text{ yd}$ , $5280\text{ ft}=1\text{ mi}$ , and $1760\text{ yd}=1\text{ mi}$ . Conversions are done with a unit fraction, also called a conversion factor, placing the new unit in the numerator and the original unit in the denominator so units cancel correctly.

Mixed units such as feet and inches or yards and feet can be written as a single unit or kept in combined form when appropriate. For addition and subtraction, measurements must have like units, so combine matching units first and convert at the end if needed. When subtracting mixed units, borrow by changing the larger unit into the smaller unit. For multiplication or division by a constant, operate on each unit, then convert any extra smaller units into larger units when possible.

개념

Conversions: US Length

영상 길이:

워크시트로 더 똑똑하게 공부하세요.

각 영상을 인쇄 가능한 워크시트로 따라 하세요

문제

Fill in the blank to convert as indicated.
$13 comma 200 f of t equals sub$ __ mi

$25 m i$

$\frac{1}{4} m i$

$2 and one half m i$

$7 comma 920$

문제

Fill in the blank to convert as indicated.
$2.5 equals$ __ yd

$1 comma 467 y d$

$8 comma 800 y d$

$13 comma 200 y d$

$4 comma 400 y d$

예시

Conversions: US Length Example 1

영상 길이:

예시

Conversions: US Length Example 2

영상 길이:

예시

Conversions: US Length Example 3

영상 길이:

예시

Conversions: US Length Example 4

영상 길이:

57s

예시

Conversions: US Length Example 5

영상 길이:

38s

개념

Operations: US Length

영상 길이:

문제

Perform the indicated operation.
5 yd 2 ft + 7 ft 1 ft

$12.3 yd$

$13 yd 2 ft$

$14 yd$

$13 yd$

문제

Perform the indicated operation.
$21 yd 2 ft times 5$

$107 yd 2 ft$

$108 yd 1 ft$

$105 yd 2 ft$

$103 yd 1 ft$

문제

Perform the indicated operation.
$24 ft 3 in minus 11 ft 8 in$

$12 ft 7 in$

$13 ft 5 in$

$12 ft 11 in$

$13 ft 7 in$

문제

Perform the indicated operation.
$168 mi division sign 6$

$28 mi$

$26 mi$

$34 mi$

$16 2 mi$

예시

Operations: US Length Example 6

영상 길이:

42s

학생들이 이 주제에 대해 묻는 질문은 다음과 같습니다:

To convert feet to inches, you use the fact that 1 foot equals 12 inches. This relationship can be written as a unit fraction or conversion factor: $\frac{12}{1}$ inches per foot. When converting, multiply the number of feet by this fraction to cancel out feet and get inches. For example, to convert 14 feet to inches, multiply 14 by 12: $14 $\times$ 12 = 168$ inches. This method ensures the units cancel correctly and the conversion is accurate.

When adding mixed units such as feet and inches, first add the like units separately. For example, if you add 3 feet 5 inches and 9 feet 4 inches, add the feet: 3 + 9 = 12 feet, and the inches: 5 + 4 = 9 inches. Since 9 inches is less than 12 inches (1 foot), no further conversion is needed. The total is 12 feet 9 inches. If the inches sum to 12 or more, convert the excess inches into feet by dividing by 12 and adding to the feet total.

When subtracting mixed units such as yards and feet, and the smaller unit in the minuend is less than in the subtrahend, you need to borrow from the larger unit. For example, subtracting 2 yards 8 feet from 10 yards 5 feet requires borrowing 1 yard from the 10 yards. Since 1 yard equals 3 feet, convert 1 yard to 3 feet and add it to the 5 feet, making 8 feet. Now subtract 8 feet minus 8 feet equals 0 feet, and 9 yards (after borrowing) minus 2 yards equals 7 yards. The result is 7 yards.

To multiply mixed units like feet and inches by a constant, multiply each unit separately by the constant. For example, multiplying 7 feet 6 inches by 4 means multiplying 7 feet by 4 and 6 inches by 4. This gives 28 feet and 24 inches. Since 24 inches is more than 12 inches, convert 24 inches to feet: $\frac{24}{12} = 2$ feet. Add these 2 feet to 28 feet to get 30 feet total. So, 7 feet 6 inches times 4 equals 30 feet.

The key equivalent measures in the US system of length are: 12 inches equals 1 foot, 3 feet equals 1 yard, 5,280 feet equals 1 mile, and 1,760 yards equals 1 mile. These equivalences allow conversions between units by using unit fractions or conversion factors. For example, to convert yards to feet, multiply by $\frac{3}{1}$ feet per yard. Understanding these relationships is essential for accurate measurement conversions.