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velikii [3]
3 years ago
8

Buster was given this expression and asked to determine whether the answer is greater than or less than 1. (9.763 × 108) (1.56 ×

1013) How can Buster tell without fully performing the calculations?
Mathematics
2 answers:
garik1379 [7]3 years ago
6 0

Answer:

The given expression is less than 1

Step-by-step explanation:

Given : Expression - \frac{9.763\times10^8}{1.56\times10^{13}}

By the theory of fractions i.e.

→  If the numerator is less than the denominator the fraction is called proper fraction and it is greater then 0 but less than 1.

→  If the numerator is greater than or equal to the denominator the fraction is called improper fraction and it is always greater then 1 or equal to 1.

In the given expression, the numerator {9.763\times10^8} is less then the denominator {1.56\times10^{13}}

as  10^8

which means it is a proper fraction or the fraction is greater than 0 but less than 1.

Therefore, the given expression is less than 1.


brilliants [131]3 years ago
5 0
<span>"Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5"</span>
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To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.

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To find out how much 85 increased to get back to 100, we do:
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3 years ago
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densk [106]

<u>Question 8</u>

a^2 + 7a + 12

= (a+3)(a+4)

When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).

An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.

a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)

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These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).

<u>Question 10</u>

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Rewrite each fraction with a common denominator so you can combine the fractions into one.

= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18

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= (-6x + 6y + 36x - 63y - x - y)/18

= (29x - 58y)/18

= 29/18 x - 29/9 y

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Answer:

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Step-by-step explanation:

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