Question

expand 1026.13 using exponents ​

Answer 1

The expansion of 1026.13 will be 1026.13 = 1 x 10³ + 0 x 10² + 2 x $10^{1}$ + 6 x $10^{0}$ + 1 x $10^{-1}$ + 3 x $10^{-2}$

Step-by-step explanation:

We can write 1026.13 as following:

1026.13 = 1 x 1000 + 0 x 100 + 2 x 10 + 6 x 1 + 1 x $\frac{1}{10}$ + 3 x $\frac{1}{100}$

Now, writing the expansion as a power 10.

1026.13 = 1 x 10³ + 0 x 10² + 2 x $10^{1}$ + 6 x $10^{0}$ + 1 x $10^{-1}$ + 3 x $10^{-2}$

Hence, the expansion of 1026.13 will be 1026.13 = 1 x 10³ + 0 x 10² + 2 x $10^{1}$ + 6 x $10^{0}$ + 1 x $10^{-1}$ + 3 x $10^{-2}$

Answer 2

Step-by-step explanation:

The expansion of 1026.13 will be 1026.13 = 1 x 10³ + 0 x 10² + 2 x 10^{1}10

1

+ 6 x 10^{0}10

0

+ 1 x 10^{-1}10

−1

+ 3 x 10^{-2}10

−2

Step-by-step explanation:

We can write 1026.13 as following:

1026.13 = 1 x 1000 + 0 x 100 + 2 x 10 + 6 x 1 + 1 x \frac{1}{10}

10

1

+ 3 x \frac{1}{100}

100

1

Now, writing the expansion as a power 10.

1026.13 = 1 x 10³ + 0 x 10² + 2 x 10^{1}10

1

+ 6 x 10^{0}10

0

+ 1 x 10^{-1}10

−1

+ 3 x 10^{-2}10

−2

Hence, the expansion of 1026.13 will be 1026.13 = 1 x 10³ + 0 x 10² + 2 x 10^{1}10

1

+ 6 x 10^{0}10

0

+ 1 x 10^{-1}10

−1

+ 3 x 10^{-2}10

−2