Video: Using Number Lines to Understand Tenths

Look at the number represented by the number line. Write this number as a mixed number. Write this number as a decimal.

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Video Transcript

Look at the number represented by the number line. Write this number as a mixed number. And write this number as a decimal.

These mixed numbers on the top, two and zero tenths and three and zero tenths, give us a clue about the way the number line is divided. Each line would represent a tenth. We move from two and zero tenths to two and one tenth to two and two tenths.

Continuing that pattern, two and three tenths, two and four tenths, two and five tenths, two and six tenths, two and seven tenths, and two and eight tenths. The pink dot represents two and eight tenths. Two and eight tenths is the mixed number.

To write this as a decimal, we need to think about what eight tenths means. We know that two is the whole number portion, so we have two and then a decimal. One place value to the right of the decimal represents the tenths place, and we have eight tenths. We write our eight in the tenths place. As a decimal, two and eight tenths looks like this: 2.8.

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