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Complete all the problems:

1) 5 feet 2 inches = ____ inches

2) 8 m 12 cm = ____ cm

3) 7085 g = ____ kg ____ g

4) 2 tons = ____ pounds

5) 6 yards = ____ feet

6) Multiply:

3 times 5 feet 1 inch = ____ feet ____ inches

7) Divide:

18 tons 42 pounds divided by 3 = ____ tons ____ pounds

Answer :

Let's solve each problem step by step.

  1. Convert 5 feet 2 inches to inches

    • First, we know that 1 foot is equal to 12 inches. Therefore, 5 feet is:
      [tex]5 \text{ feet} \times 12 \frac{\text{inches}}{\text{foot}} = 60 \text{ inches}[/tex]
    • Now add the additional 2 inches:
      [tex]60 \text{ inches} + 2 \text{ inches} = 62 \text{ inches}[/tex]

  2. Convert 8 meters 12 centimeters to centimeters

    • We know that 1 meter is equal to 100 centimeters. So, 8 meters is:
      [tex]8 \text{ meters} \times 100 \frac{\text{cm}}{\text{m}} = 800 \text{ cm}[/tex]
    • Now add the additional 12 centimeters:
      [tex]800 \text{ cm} + 12 \text{ cm} = 812 \text{ cm}[/tex]

  3. Convert 7085 grams to kilograms and grams

    • There are 1000 grams in a kilogram. Divide 7085 grams by 1000:
      [tex]7085 \text{ g} = 7 \text{ kg with a remainder of } 85 \text{ g}[/tex]
    • So, it is 7 kg and 85 grams.

  4. Convert 2 tons to pounds

    • 1 ton equals 2000 pounds. So, for 2 tons:
      [tex]2 \text{ tons} \times 2000 \frac{\text{pounds}}{\text{ton}} = 4000 \text{ pounds}[/tex]

  5. Convert 6 yards to feet

    • 1 yard is equal to 3 feet. Therefore, 6 yards is:
      [tex]6 \text{ yards} \times 3 \frac{\text{feet}}{\text{yard}} = 18 \text{ feet}[/tex]

  6. Multiply 3 times 5 feet 1 inch

    • First, convert 5 feet 1 inch to just inches:
      [tex]5 \times 12 + 1 = 61 \text{ inches}[/tex]
    • Multiply by 3:
      [tex]3 \times 61 \text{ inches} = 183 \text{ inches}[/tex]
    • Convert back to feet and inches. Divide by 12:
      [tex]183 \div 12 = 15 \text{ feet with a remainder of } 3 \text{ inches}[/tex]
    • So, it is 15 feet and 3 inches.

  7. Divide 18 tons 42 pounds by 3

    • First, convert tons to pounds for precise calculation.
      [tex]18 \text{ tons} \times 2000 \text{ pounds/ton} = 36000 \text{ pounds}[/tex]
    • Add the additional 42 pounds:
      [tex]36000 \text{ pounds} + 42 \text{ pounds} = 36042 \text{ pounds}[/tex]
    • Divide by 3:
      [tex]36042 \div 3 = 12014 \text{ pounds}[/tex]
    • Convert back to tons and pounds. Divide by 2000:
      [tex]12014 \div 2000 \approx 6 \text{ tons with a remainder of } 14 \text{ pounds}[/tex]
    • So, it is 6 tons and 14 pounds.

I hope this helps! If you have any further questions, feel free to ask.

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Rewritten by : Barada