A large rock has a weight of $$ 1.2 imes 10^{4} $$ grams. Find, in standard form, the weight of 12 of these large rocks.

Question

A large rock has a weight of $$ 1.2 	imes 10^{4} $$ grams. Find, in standard form, the weight of 12 of these large rocks.

UpStudy AI · Accepted Answer

To find the weight of 12 large rocks, each weighing $$ 1.2 \times 10^{4} $$ grams, follow these steps:

1. **Multiply the weight of one rock by 12:**

$$
   1.2 \times 10^{4} \, \text{grams} \times 12 = 14.4 \times 10^{4} \, \text{grams}
   $$

2. **Express the result in standard form:**

Standard form requires the coefficient to be between 1 and 10. To adjust $$ 14.4 \times 10^{4} $$ to standard form:

$$
   14.4 \times 10^{4} = 1.44 \times 10^{1} \times 10^{4} = 1.44 \times 10^{5} \, \text{grams}
   $$

**Therefore, the weight of 12 large rocks in standard form is:**

$$
1.44 \times 10^{5} \, \text{grams}
$$
The weight of 12 large rocks is $$ 1.44 \times 10^{5} $$ grams.

A large rock has a weight of \( 1.2 \times 10^{4} \) grams. Find, in standard form, the weight of 12 of these large rocks.