Math / Numbers & Operations

QuestionWhich proportion could you use to convert 6 kilograms to grams? $\begin{array}{c} \frac{1,000 \text { grams }}{1 \text { kilogram }}= \\ \frac{6 \text { kilograms }}{\frac{1,00: 0 \text { graminss }}{1 \text { kilogram }}}= \\ \frac{? \text { grams }}{6 \text { kilograms }} \end{array}$
Convert. 6 kilograms = $\square$ grams

Studdy Solution

STEP 1

1. We need to convert kilograms to grams.
2. The conversion factor is $1 \text{ kilogram} = 1,000 \text{ grams}$ .
3. We are given $6 \text{ kilograms}$ to convert to grams.

STEP 2

1. Identify the conversion factor.
2. Set up the proportion.
3. Solve the proportion to find the number of grams.

STEP 3

Identify the conversion factor between kilograms and grams.
$1 \text{ kilogram} = 1,000 \text{ grams}$

STEP 4

Set up the proportion using the conversion factor.
$\frac{1,000 \text{ grams}}{1 \text{ kilogram}} = \frac{? \text{ grams}}{6 \text{ kilograms}}$

STEP 5

Solve the proportion to find the number of grams.
Multiply both sides by $6 \text{ kilograms}$ to isolate the unknown number of grams.
$\frac{1,000 \text{ grams}}{1 \text{ kilogram}} = \frac{? \text{ grams}}{6 \text{ kilograms}}$
$1,000 \times 6 = ? \text{ grams}$
Calculate the result:
$1,000 \times 6 = 6,000 \text{ grams}$
The conversion result is:
$6 \text{ kilograms} = \boxed{6,000 \text{ grams}}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms