Math Problem Statement

Convert the following units of length A) 2.2 miles to yards B) 5.8 kilometers (km) to meters (m) C) 904 meters (m) to kilometers (km) D) 12 cm to inches

Solution

Let's solve these conversions step by step:

A) Convert 2.2 miles to yards

We know that:

  • 1 mile = 1760 yards

So: 2.2miles×1760yards/mile=3872yards2.2 \, \text{miles} \times 1760 \, \text{yards/mile} = 3872 \, \text{yards} Answer: 2.2 miles = 3872 yards

B) Convert 5.8 kilometers to meters

We know that:

  • 1 kilometer = 1000 meters

So: 5.8km×1000m/km=5800m5.8 \, \text{km} \times 1000 \, \text{m/km} = 5800 \, \text{m} Answer: 5.8 kilometers = 5800 meters

C) Convert 904 meters to kilometers

We know that:

  • 1 kilometer = 1000 meters

So: 904m÷1000=0.904km904 \, \text{m} \div 1000 = 0.904 \, \text{km} Answer: 904 meters = 0.904 kilometers

D) Convert 12 cm to inches

We know that:

  • 1 inch = 2.54 cm

So: 12cm÷2.54=4.7244inches(rounded to four decimal places)12 \, \text{cm} \div 2.54 = 4.7244 \, \text{inches} \, (\text{rounded to four decimal places}) Answer: 12 cm = 4.7244 inches


Do you want further details on any of these calculations or have any questions?

Related Questions:

  1. How do you convert between square miles and square yards?
  2. What is the conversion factor from kilometers to miles?
  3. How many inches are there in a meter?
  4. What is the formula to convert centimeters to feet?
  5. How can you convert 3 miles into feet?

Tip: When converting between units, always ensure you are using the correct conversion factor by checking reference tables if needed.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Unit Conversion
Metric System
Imperial System

Formulas

1 mile = 1760 yards
1 kilometer = 1000 meters
1 inch = 2.54 cm
1 meter = 1000 kilometers

Theorems

-

Suitable Grade Level

Grades 5-8