Question

Express the following in grams.
(i) 7 cg 6 mg
(ii) 5 mg
(iii) 5 dg 4 cg 3 mg (iv) 3078 dg
(v) 6g 3 dg 2 cg 5 mg
​

Answer 1

i) 0.076g

ii)0.005g

iii)0.543g

iv)300.078g

v)6.325g

Answer 2

Answer:

The conversion of the following in grams is as follows:

(i) 7cg 6mg = 0.076 grams

(ii) 5 mg = 0.005 grams;

(iii) 5dg 4cg 3mg=0.543 grams

(iv) 3078 dg = 307.8 grams

(v) 6g 3 dg 2 cg 5 mg = 6.325 grams

Explanation:

We have relationships between centigrams(cg) and grams;

We have relationships between milligrams(mg) and grams;

We have relationships between Decigrams(dg) and grams;

That means;

1 cg = 0.01 g;

1 mg = 0.001 g;

1 dg = 0.1 g;

So,

(i) 7cg 6 mg = 7 × 0.01 + 6 × 0.001

                    = 0.076 grams;

(ii) 5 mg = 5 × 0.001g = 0.005 grams;

(iii) 5 dg 4 cg 3 mg = 5 × 0.1 + 4 × 0.01 × 3 × 0.001

                                = 5.043 grams;

(iv) 3078 dg = 3078 × 0.1g = 307.8 grams;

(v) 6g 3 dg 2 cg 5 mg = 6g + 3 × 0.1 + 2 × 0.01 × 5 × 0.001

                                    = 6.325grams.

Hence,

The conversion of the following in grams is as follows:

(i) 7cg 6mg = 0.076 grams

(ii) 5 mg = 0.005 grams;

(iii) 5dg 4cg 3mg=0.543 grams

(iv) 3078 dg = 307.8 grams

(v) 6g 3 dg 2 cg 5 mg = 6.325 grams

To learn more about conversions, visit:

https://brainly.in/question/292406

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https://brainly.in/question/19373138

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