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Can someone help i can't understand and tomorrw i have a exman of methamathic
pleas

Can someone help i can't understand and tomorrw i have a exman of methamathic pleas-example-1
User Piotr Podraza
by
2.7k points

2 Answers

18 votes
18 votes

Answer:

10

10⁴ = 10 × 10 × 10 × 10 = 10,000

0.0001 × 0.25 = 0.000025

10,000 × 0.000025 = 0.25

0.25 × 40 = 10

User Foghorn
by
3.6k points
29 votes
29 votes

Answer:

10

Explanation:

The easiest way to do this is to convert every number into a whole number.

0.0001 = 1 x 10^-4 ------> move the decimal point to the right 4 = 10^-4

0.25 = 25 x 10^-2 -----> move the decimal point to the right 2 = 10^-2

10^4 = 1 x 10^4 -----> multipling by 1 is the same

40 = 4 x 10^1 -----> move the decimal point to the left 1 = 10^1

Now, you can multiply the numbers together:

1 x 25 x 1 x 4 = 100

Now, multiply the powers of 10 together:

10^-4 x 10^-2 x 10^4 x 10^1

A trick to do this is to add the powers together.

If any equation follows the form:

y^a * y^b * y^c * ...

where y is a number, a is the first power, b is the second power, and so on, it is always equal to:

y^(a + b + c + ...)

You can apply this to this question.

10^(-4 + (-2) + 4 + 1)

= 10^-1

Now, you can multiply the 2 answers you got together again:

100 x 10^-1

= 10^2 x 10^-1

You can apply the formula again.

10^(2 - 1)

= 10^1 = 10

:)

User MacMartin
by
3.0k points
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