How much bigger is $$ 4.2 imes 10^{5} $$ than $$ 6.1 imes 10^{4} $$ ?

Question

How much bigger is $$ 4.2 	imes 10^{5} $$ than $$ 6.1 	imes 10^{4} $$ ?

UpStudy AI · Accepted Answer

1. Write the difference between the two numbers:
   
   $$
   4.2 \times 10^{5} - 6.1 \times 10^{4}
   $$

2. Express both numbers with the same power of $$10$$. Notice that:

$$
   6.1 \times 10^{4} = 0.61 \times 10^{5}
   $$

3. Substitute back into the difference:

$$
   4.2 \times 10^{5} - 0.61 \times 10^{5}
   $$

4. Factor out $$10^{5}$$:

$$
   (4.2 - 0.61) \times 10^{5}
   $$

5. Perform the subtraction:

$$
   4.2 - 0.61 = 3.59
   $$

6. Write the final result:

$$
   3.59 \times 10^{5}
   $$

Thus, $$4.2 \times 10^{5}$$ is $$3.59 \times 10^{5}$$ bigger than $$6.1 \times 10^{4}$$.
$$4.2 \times 10^{5}$$ is $$3.59 \times 10^{5}$$ bigger than $$6.1 \times 10^{4}$$.

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