Question

The numbers below follow a pattern.

0.007 0.07 0.7 7 _____ _____
Part A
What are the next two numbers in the pattern? Drag the numbers in the boxes.
70 700 7000 70000
0.007 0.07 0.7 7

Part B
What is the relationship between the terms in the pattern? Drag a number to the box.

Answer 1

A)70,700
B)The terms in the pattern are multiplied by 10 every time...
So it would continue as 70,700,7000,70000,......

Answer 2

The next two terms of the series are 70 and 700.

Given: 0.007, 0.07, 0.7, 7, ________, ________

To find:

a) Next two numbers of the series.
b) Relationship between the terms.

Step by step explanation:

Step 1: Recognizing the pattern
           We observe that the terms are multiplied by 10 to get the next
           desired term.
Step 2: Check whether the pattern we observed is correct or not
           0.007 * 10 ⇒ 0.07     ⇒ 0.007 → 0.07
           0.07 * 10 ⇒ 0.7          ⇒ 0.07 → 0.7
            0.7 * 10 ⇒ 7               ⇒ 0.7 → 7
Step 3: Now solving the next two terms using the above pattern.
            7 * 10 ⇒ 70               ⇒ 7 → 70
            70 * 10 ⇒ 700          ⇒ 70 → 700

a) The next two terms of the given series are 70 and 700.

b) The relationship between the terms is that each term is multiplied
   by 10 in order to get the next term.

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