$$ \equiv \mathbf{1} $$ Listen Which of these numbers is largest? $$ 1 imes 10^{19} $$ $$ 8 imes 10^{29} $$ $$ 9 imes 10^{15} $$ $$ 9 imes 10^{27} $$ $$ 2 imes 10^{30} $$

Question

$$ \equiv \mathbf{1} $$ Listen Which of these numbers is largest? $$ 1 	imes 10^{19} $$ $$ 8 	imes 10^{29} $$ $$ 9 	imes 10^{15} $$ $$ 9 	imes 10^{27} $$ $$ 2 	imes 10^{30} $$

UpStudy AI · Accepted Answer

To determine which of the given numbers is the largest, let's examine each one:

1. $$ 1 \times 10^{19} $$
2. $$ 8 \times 10^{29} $$
3. $$ 9 \times 10^{15} $$
4. $$ 9 \times 10^{27} $$
5. $$ 2 \times 10^{30} $$

**Step 1: Compare the Exponents**

The exponent in scientific notation ($$10^n$$) indicates the scale of the number. The higher the exponent, the larger the number:

- $$ 10^{15} $$ (smallest exponent)
- $$ 10^{19} $$
- $$ 10^{27} $$
- $$ 10^{29} $$
- $$ 10^{30} $$ (largest exponent)

**Step 2: Analyze the Coefficients for the Largest Exponent**

The number with the highest exponent is $$ 2 \times 10^{30} $$. Even though $$ 8 \times 10^{29} $$ has a larger coefficient (8 vs. 2), its exponent $$10^{29}$$ is smaller than $$10^{30}$$. Therefore, $$ 2 \times 10^{30} $$ is larger.

**Conclusion**

The largest number among the given options is:

$$
2 \times 10^{30}
$$
The largest number is $$ 2 \times 10^{30} $$.

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Which of these numbers is largest?

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