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Rus_ich [418]
3 years ago
14

How could you use a number line to help assist in adding or subtracting rational numbers?

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0
One example of number line of rational numbers is shown below

To help with addition, for example, 0.1 + 0.3, you'd start from 0.1 on the number line and then hop on three lines to the right. You should end at 0.4 and that's the answer

To help with subtraction, you would have to 'hop back'.


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2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …
Musya8 [376]

Answer:

The common difference d is d = -3

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Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: a_n=a_1+(n-1)d

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3

So, the common difference d is d = -3

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The recursive formula is of type: a_n=a_{n-1}+d

We have found common difference d = -3

So, the recursive formula will be:

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The recursive formula is: \mathbf{a_n=a_{n-1}-3}

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