Studdy AI Logo
Math  /  Numbers & Operations

QuestionUse the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
41 oz to g 16oz=1lb2000lb=1 T1oz≈28 g1lb≈0.45 kg1 T≈0.9t\begin{aligned} 16 \mathrm{oz} & =1 \mathrm{lb} \\ 2000 \mathrm{lb} & =1 \mathrm{~T} \\ 1 \mathrm{oz} & \approx 28 \mathrm{~g} \\ 1 \mathrm{lb} & \approx 0.45 \mathrm{~kg} \\ 1 \mathrm{~T} & \approx 0.9 \mathrm{t} \end{aligned} 41oz=□g41 \mathrm{oz}=\square \mathrm{g}

Studdy Solution

STEP 1

What is this asking? We need to convert **41 ounces** to **grams**. Watch out! There's a bunch of conversion factors, but we only need one of them!
Don't get tricked!

STEP 2

1. Convert ounces to grams

STEP 3

We're given that 11 oz ≈28 \approx 28 g.
This is exactly what we need to go from ounces to grams!

STEP 4

We want to convert **41 oz** to grams.
We know 11 oz ≈28 \approx 28 g.
To get the units to work out, we'll multiply our starting value by a fraction with ounces in the denominator and grams in the numerator.
This will *divide to one* our ounces, leaving us with just grams.

STEP 5

41 oz⋅28 g1 oz41 \text{ oz} \cdot \frac{28 \text{ g}}{1 \text{ oz}} Notice how the units of "oz" *divide to one*!
That leaves us with: 41⋅28 g=1148 g41 \cdot 28 \text{ g} = 1148 \text{ g}

STEP 6

So, 4141 oz is approximately equal to 1148\bf{1148} g.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord