Positive Numbers and the Number Line

Unit 1 – The Number Line

Vocabulary Inequality – a mathematical sentence that shows the relationship between quantities that are not equivalent. Inequality Symbols < – Less than > – Greater than

Complete the Number Line Example Fill in the blanks in the horizontal number line.

Complete the Number Line Example Fill in the blanks in the vertical number line

Drawing Number Lines Example Draw a horizontal number line to represent each set of whole numbers Draw a vertical number line to represent each set of whole numbers Whole numbers between 0 and 8 Whole numbers from 2 to 6 Please note that we put 0 and 8 on the number line for reference but by not marking them with dots it shows they are not included in the data set.

Comparing Numbers with a Number Line Example Compare each pair of rational numbers using < or >. Use a number line to help you.

Comparing Numbers with a Number Line Example Compare each pair of rational numbers using < or >. Use a number line to help you.

Complete the Number Line Fraction Example Fill in the blanks in the horizontal number line with fractions

Create the Number Line Fraction Example Create a horizontal number line with mixed numbers from 7 to 9, with an interval of between each pair of mixed numbers.

Create the Number Line Fraction Example Create a vertical number line with mixed numbers greater than 4 but less than 7. Use an interval of between each pair of fractions. Please note that we put 4 and 7 on the number line for reference but by not marking them with dots it shows they are not included in the data set.

Complete the Number Line Decimal Example Fill in the blanks in the horizontal number line with decimals

Create the Number Line Decimal Example Create a vertical number line with decimals between 4.2 and 6.0, with an interval of 0.3 between each pair of decimals. Please note that we put 6.0 and 4.2 on the number line for reference but by not marking them with dots it shows they are not included in the data set.

Create the Number Line Example Create a horizontal number line to represent the following mixed numbers between 4 and 5. 4 3 4 , 4 1 5 , 4 3 10 , 4 1 2 4 3 4 =4 15 20 , 4 1 5 =4 4 20 , 4 3 10 =4 6 20 , 4 1 2 =4 10 20 Always find a common denominator first! 4 2 20 4 4 20 4 6 20 4 10 20 4 12 20 4 14 20 4 16 20 4 18 20

Writing Inequalities Example The mass of your math textbook is 2.75kg and the mass of your social studies textbook is 2.61kg. Write an inequality comparing the two masses.