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Novosadov [1.4K]
3 years ago
8

How can patterns be used to determine products of a number and a power of 10?

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0
Patterns can be used to determine products of a number of a power of 10 by following it to obtain easily the answer. When you multiply a number by the power of 10 you just have to write the number then add the number of corresponding number of 0s to the end which will be the same number as the power used. 

Hope this helped : )
mr Goodwill [35]3 years ago
5 0

Answer:

Patterns used to determine the product of a number and a power of 10 :

When we multiply a number by a positive exponent of 10 then the resultant number is obtained by putting 0's, equal to the exponent, after the number.

For example :

2 × 10 = 20

2 × 10² = 200,

2 × 10³ = 2000,

.......so on......

In other words, we add zeros as much as the power of 10 after the number in the resultant number.

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We will form the equations for this problem:
(1) 1100*y + z = 113
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Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
----------------------------
(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
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-------------------------------------------------
(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
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------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
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------------------------------------------------
(1) z = 113 - 1100*y
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------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 1/10
------------------------------------------------
if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
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Step-by-step explanation:

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