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3 years ago

One way to divide decimal numbers is to use an equivalent expression.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

Answer:

Step-by-step explanation:

To determine how much a decimal was multiplied, you need to find how many places the decimal moved.

In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1

100 = 2 1,000 = 3 and it keeps going.

So since the decimal moved 1 time, the answer to question one is 10

Now question 2.

Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.

84 ÷ 21 = 4

We can verify our answer by multiplying the the divisor by the quotient

21 * 4 = 84

So 4 is the answer to question 2

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7^16/7^12=7^-18/? what is the missing denominator

creativ13 [48]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{7^{16}}{7^{12}}=\cfrac{7^{-18}}{x}\implies x\cdot 7^{16}=7^{12}\cdot 7^{-18}\implies x\cdot 7^{16}=7^{12-18}
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x\cdot 7^{16}=7^{-6}\implies x=\cfrac{7^{-6}}{7^{16}}\implies x=\cfrac{7^{-6}\cdot 7^{-16}}{1}\implies x=7^{-6-16}
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3 years ago

Help with these questions

love history [14]

Answer: a) -27, b) 35, c) 14

Step-by-step explanation:

a) When a positive number is multiplied by a negative number, your answer is negative, and since we know that 9 × 3 = 27, and that this figure has to be negative (since 9 is negative), the answer is -27.

b) Multiplying two negative numbers gives a positive number, and since 7 × 5 = 35, the answer is positive 35 (as both 7 and 5 in the original question are negative).

c) Follows just like b.

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you can't have two of the same numbers

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2 years ago

Which of the following is not an equivalent expression to -12 - 7x?

Georgia [21]

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Answer:

Step-by-step explanation:

2a+45=180

subtract 45 from both sides which equals 2a=135

divide both sides by 2 which would solve for a.

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2 years ago