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Answer :
Sure! Let's go through each of the problems step-by-step.
7. Convert 4 kilograms to grams.
We know that 1 kilogram is equal to 1000 grams. So, to convert kilograms to grams, we multiply by 1000:
[tex]\[
4 \, \text{kg} = 4 \times 1000 \, \text{grams} = 4000 \, \text{grams}
\][/tex]
8. Compare [tex]\(5000 \, \text{m}\)[/tex] and [tex]\(4.9 \, \text{km}\)[/tex]. (Convert to meters)
1 kilometer is equal to 1000 meters. So, to convert 4.9 kilometers to meters:
[tex]\[
4.9 \, \text{km} = 4.9 \times 1000 \, \text{m} = 4900 \, \text{m}
\][/tex]
Now compare the values:
[tex]\[
5000 \, \text{m} > 4900 \, \text{m}
\][/tex]
9. Compare [tex]\(4 \, \text{lb}\)[/tex] and [tex]\(60 \, \text{oz}\)[/tex]. (Convert to ounces)
1 pound is equal to 16 ounces. So, to convert 4 pounds to ounces:
[tex]\[
4 \, \text{lb} = 4 \times 16 \, \text{oz} = 64 \, \text{oz}
\][/tex]
Now compare the values:
[tex]\[
64 \, \text{oz} > 60 \, \text{oz}
\][/tex]
10. Compare [tex]\(3 \, \text{mi}\)[/tex] and [tex]\(15,840 \, \text{ft}\)[/tex]. (Convert to feet)
1 mile is equal to 5280 feet. So, to convert 3 miles to feet:
[tex]\[
3 \, \text{mi} = 3 \times 5280 \, \text{ft} = 15,840 \, \text{ft}
\][/tex]
Now compare the values:
[tex]\[
15,840 \, \text{ft} = 15,840 \, \text{ft}
\][/tex]
11. Compare [tex]\(72 \, \text{in}\)[/tex] and [tex]\(2 \, \text{yd}\)[/tex]. (Convert to feet)
1 yard is equal to 3 feet. First, we convert yards to feet:
[tex]\[
2 \, \text{yd} = 2 \times 3 \, \text{ft} = 6 \, \text{ft}
\][/tex]
Next, convert inches to feet since 12 inches equals 1 foot:
[tex]\[
72 \, \text{in} = \frac{72}{12} \, \text{ft} = 6 \, \text{ft}
\][/tex]
Now compare the values:
[tex]\[
6 \, \text{ft} = 6 \, \text{ft}
\][/tex]
12. Compare [tex]\(0.45 \, \text{L}\)[/tex] and [tex]\(4200 \, \text{mL}\)[/tex]. (Convert to milliliters)
1 liter is equal to 1000 milliliters. So, to convert 0.45 liters to milliliters:
[tex]\[
0.45 \, \text{L} = 0.45 \times 1000 \, \text{mL} = 450 \, \text{mL}
\][/tex]
Now compare the values:
[tex]\[
450 \, \text{mL} < 4200 \, \text{mL}
\][/tex]
13. Compare [tex]\(1.2 \, \text{g}\)[/tex] and [tex]\(950 \, \text{mg}\)[/tex]. (Convert to milligrams)
1 gram is equal to 1000 milligrams. So, to convert 1.2 grams to milligrams:
[tex]\[
1.2 \, \text{g} = 1.2 \times 1000 \, \text{mg} = 1200 \, \text{mg}
\][/tex]
Now compare the values:
[tex]\[
1200 \, \text{mg} > 950 \, \text{mg}
\][/tex]
I hope this helps! If you have any questions, feel free to ask.
7. Convert 4 kilograms to grams.
We know that 1 kilogram is equal to 1000 grams. So, to convert kilograms to grams, we multiply by 1000:
[tex]\[
4 \, \text{kg} = 4 \times 1000 \, \text{grams} = 4000 \, \text{grams}
\][/tex]
8. Compare [tex]\(5000 \, \text{m}\)[/tex] and [tex]\(4.9 \, \text{km}\)[/tex]. (Convert to meters)
1 kilometer is equal to 1000 meters. So, to convert 4.9 kilometers to meters:
[tex]\[
4.9 \, \text{km} = 4.9 \times 1000 \, \text{m} = 4900 \, \text{m}
\][/tex]
Now compare the values:
[tex]\[
5000 \, \text{m} > 4900 \, \text{m}
\][/tex]
9. Compare [tex]\(4 \, \text{lb}\)[/tex] and [tex]\(60 \, \text{oz}\)[/tex]. (Convert to ounces)
1 pound is equal to 16 ounces. So, to convert 4 pounds to ounces:
[tex]\[
4 \, \text{lb} = 4 \times 16 \, \text{oz} = 64 \, \text{oz}
\][/tex]
Now compare the values:
[tex]\[
64 \, \text{oz} > 60 \, \text{oz}
\][/tex]
10. Compare [tex]\(3 \, \text{mi}\)[/tex] and [tex]\(15,840 \, \text{ft}\)[/tex]. (Convert to feet)
1 mile is equal to 5280 feet. So, to convert 3 miles to feet:
[tex]\[
3 \, \text{mi} = 3 \times 5280 \, \text{ft} = 15,840 \, \text{ft}
\][/tex]
Now compare the values:
[tex]\[
15,840 \, \text{ft} = 15,840 \, \text{ft}
\][/tex]
11. Compare [tex]\(72 \, \text{in}\)[/tex] and [tex]\(2 \, \text{yd}\)[/tex]. (Convert to feet)
1 yard is equal to 3 feet. First, we convert yards to feet:
[tex]\[
2 \, \text{yd} = 2 \times 3 \, \text{ft} = 6 \, \text{ft}
\][/tex]
Next, convert inches to feet since 12 inches equals 1 foot:
[tex]\[
72 \, \text{in} = \frac{72}{12} \, \text{ft} = 6 \, \text{ft}
\][/tex]
Now compare the values:
[tex]\[
6 \, \text{ft} = 6 \, \text{ft}
\][/tex]
12. Compare [tex]\(0.45 \, \text{L}\)[/tex] and [tex]\(4200 \, \text{mL}\)[/tex]. (Convert to milliliters)
1 liter is equal to 1000 milliliters. So, to convert 0.45 liters to milliliters:
[tex]\[
0.45 \, \text{L} = 0.45 \times 1000 \, \text{mL} = 450 \, \text{mL}
\][/tex]
Now compare the values:
[tex]\[
450 \, \text{mL} < 4200 \, \text{mL}
\][/tex]
13. Compare [tex]\(1.2 \, \text{g}\)[/tex] and [tex]\(950 \, \text{mg}\)[/tex]. (Convert to milligrams)
1 gram is equal to 1000 milligrams. So, to convert 1.2 grams to milligrams:
[tex]\[
1.2 \, \text{g} = 1.2 \times 1000 \, \text{mg} = 1200 \, \text{mg}
\][/tex]
Now compare the values:
[tex]\[
1200 \, \text{mg} > 950 \, \text{mg}
\][/tex]
I hope this helps! If you have any questions, feel free to ask.
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