THANK YOU MS. SUE HOW ABOUT #3 - PATTERNS DIVIDED WITH DECIMALS TENTHS, HUNDRETHS....

To understand patterns divided with decimals in tenths, hundredths, and other decimal places, let's start with a brief explanation of decimals.

Decimals are a way to represent numbers that are between whole numbers or fractions. They consist of two main parts: the whole number part and the fractional part. The fractional part is separated from the whole number part by a decimal point.

For example, the number 3.25 consists of the whole number 3 and the fractional part .25. The digit after the decimal point represents tenths (0.1), and the digit after that represents hundredths (0.01).

Now, let's look at patterns divided with decimals. For instance, let's consider the pattern of increasing decimal numbers by tenths:

0.1, 0.2, 0.3, 0.4, ....

To find the next number in the pattern, we simply need to increase the tenths place by 1. So, the next number in this pattern would be 0.5, followed by 0.6, 0.7, and so on.

Similarly, if we consider a pattern of increasing decimal numbers by hundredths, the pattern would look like this:

0.01, 0.02, 0.03, 0.04, ....

To find the next number in this pattern, we increase the hundredths place by 1. Therefore, the next number would be 0.05, then 0.06, 0.07, and so forth.

Patterns divided with decimals can also involve combination of tenths, hundredths, and other decimal places. For example:

0.11, 0.12, 0.13, 0.14, ....

In this pattern, the tenths place remains constant at 1, but the digit in the hundredths place increases by 1 each time. Thus, the next number would be 0.15, then 0.16, 0.17, and so on.

By observing and analyzing the patterns, you can determine the next number in the sequence. It's always helpful to break down the decimal into its place values (tenths, hundredths, etc.) and see if there's a consistent pattern in each place.