Equivalent Mixed Numbers and Decimals on a Number Line

This lesson explains the equivalence of mixed numbers and decimals using number lines. It covers the concept of place value, showing how decimals and fractions represent parts of a whole. The video demonstrates how to visualize decimals and mixed numbers on a number line and convert improper fractions to mixed numbers and decimals. By the end, students understand that mixed numbers, decimals, and improper fractions can represent the same value.

What does the digit to the right of the decimal point in 2.7 represent?

• Thousands

• Ones

• Tenths

• Hundredths

How can the number 2.7 be represented as a mixed number?

• 27/10

• 2 and 7/10

• 2 and 7/100

• 2.07

What is the improper fraction equivalent of 1 whole and 3/10?

• 10/3

• 13/10

• 1.3

• 3/10

How many complete wholes are there in the improper fraction 13/10?

• 1

• 3

• 0

• 2

Which of the following is true about mixed numbers and decimals?

• Mixed numbers are always improper fractions.

• They can be equivalent.

• They are always different.

• Decimals are larger than mixed numbers.