Answer:
1. 2507.034 g
2. 1243mg
0.001243kg
1,243,000 mcg
3. 162.5g
Step-by-step explanation:
1. First of all we need to convert 30mg and 2.5kg to gram.
⇒ 1 gram = 1000 milligrams
x = 35mg
⇒ 1000mg(x) = 35mg
⇒ x = <u>35mg</u> = <u>35</u> = 0.035g
1000mg 1000
Next we convert 2.5kg to gm.
⇒ 1 kilogram = 1000g
2.5kg = x
(We then criss cross)
⇒ x = <u>2.5kg × 1000g</u> = <u>2500g</u> = 2500g
1kg 1
Now that we converted them all to gram, we will add them.
⇒ 30mg + 2.5kg + 7g = 0.035g + 2500g + 7g = <em>2507.035 ≈ 2507g</em>
2. We convert 1.234g into
a. mg
⇒ 1 gram = 1000 milligram
1.243g = x
⇒ x = <u>1.243g × 1000mg</u> = <u>1243mg</u> = 1243mg
1g 1
b. kg
⇒ 1 kilogram = 1000gram
x = 1.243 gram
⇒ x = <u>1.243g × 1kg</u> = <u>1.243kg</u> = 0.001243kg = 1.243 × 10⁻³ kg
1000g 1000
c. mcg
⇒ 1 gram = 1000000mcg
1.243g = x
⇒ x = <u>1.243g × 1,000,000mcg</u> = <u>1,243,000mcg</u> = 1,243,000mcg
1 g 1
3. We need 500 aspirin, the amount of grams needed and we know that one tablet contains 325mg.
So now we can derive the formula such that:
⇒ 1 tablet = 325mg
500 tablet = x
But first we need to convert 325mg to grams.
⇒ 1 gram = 1000mg
x = 325mg
⇒ x = <u>325mg × 1 g</u> = <u>325g</u> = 0.325g
1000mg 1000
So now instead of using 325mg we can use 0.325g.
⇒ 1 tablet = 0.325g
500 tablets = x
⇒ x = <u>500 tablets × 0.325g</u> = <u>162.5g</u> = 162.5g
1 tablet 1
