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2 years ago

48,919 ÷ ? = 489.19 489,190 ÷ 1,000 =? 4,891,900 ÷ ? = 489.19 ? ÷ 100,000 = 489.19

Mathematics

1 answer:

musickatia [10]2 years ago

3 0

Answer:

100
489.190
10,000
48,919,000

Step-by-step explanation:

Each factor of 10 in the divisor causes the decimal point to move 1 place to the left.

a) The decimal point has moved 2 places to the left. The divisor is 10^2 = 100.

b) The divisor is 10^3, so the decimal point will move 3 places to the left.

489.190

c) The decimal point has moved 4 places to the left, so the divisor is 10^4 = 10,000.

d) The divisor is 10^5, so the decimal point in the quotient if 5 places to the left of where it is in the dividend. Moving the quotient's decimal point 5 places to the right gives ...

48,919,000

_____

<em>Additional comment</em>

An exponent signifies repeated multiplication. Here, we're concerned with repeatedly multiplying (or dividing) by factors of 10. The exponent indicates the number of factors: 10·10 = 10^2 = 100. It also matches the number of zeros following the 1 in the product. 1000 = 10^3 has 3 zeros after the 1, for example.

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What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

koban [17]

ANSWER

The restrictions are

$a\ne -3,a\ne -\frac{1}{5}$

EXPLANATION

We were given the rational function,

$\frac{2a^2+a-15}{5a^2+16a+3}$

The function is defined for all values of a, except

$5a^2+16a+3=0$

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of $x^2$ which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

$5a^2+15a+a+3=0$

We now factor to get,

$5a(a+3)+1(a+3)=0$

We factor further to get,

$(a+3)(5a+1)=0$

This implies that,

$(a+3)=0,(5a+1)=0$

This gives

$a=-3,a=-\frac{1}{5}$

These are the restrictions.

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alina1380 [7]

Answer:

36 units

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Elabora 50 ejemplos de adicion de numeros enteros con 5 terminos o mas

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20 + 1 + 1 + 2 + 1= 25
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20 + 2 + 1 + 2 + 1= 26
20 + 1 + 1 + 3 + 1= 26
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<h3>What is an Integer?</h3>

In mathematics, an integer is a whole number that is used to represent a value and is not a fraction.

Furthermore, we can make the addition of integers as they would increment based on the number they are being incremented with and this has been shown above.