As an aspiring educator, you might be teaching this week’s concepts to students. This assignment will give you an opportunity to think about what that situation might look like as you create a resource for a future teacher. The future teacher might be you or someone else.

Review the content, your notes, and your Journal Reflection Questions from Week 1. Your reflection answers can help you complete this assignment.

Identify the ideas that would be important for your future self or another future teacher to remember.

Place Value and Properties of Real Numbers

Introduction – Topic Identification:

Place Values

The figure shows the place values for each digit in the number one million, five hundred and sixty four thousand, seven hundred and ninety eight.

From the place values, we can derive the expanded form of the number as follows:

1,000,000+500,000+60,000+4,000+700+90+8

Adding up the expanded form gives the initial number

Fractional numbers also have place values. The place value increases as one moves to the right from the decimal place.

The place values for figures after the decimal point have the suffix –ths and start with tenths as this is the smallest fraction.

Rational numbers are those that occur as fractions or part of a whole. Rational numbers can be integers, natural numbers, whole numbers, or decimals.

Irrational numbers are those that one cannot express as a simple fraction, for example pi, which has an unending (infinite) decimal value. The square root of two is also an irrational number.

Natural numbers are all positive counting numbers

Integers are positive and negative counting numbers as well as zero

Learning real numbers is useful for counting and measuring different items in everyday life, for example temperature, slices of bread, quantities of ingredients, distance, and height, which makes math an integral part of understanding the world……………..

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