Ctrl+k

Place decimals on a number line

Locating decimals on a number line involves interpreting tenths and hundredths as points between consecutive whole numbers, using the number line’s equal partitions and place value to determine each point’s position. The learner connects decimals with equivalent fractions (such as 0.4 = 4/10 and 0.40 = 40/100), orders them by position, and avoids treating digits as unrelated whole numbers; numbers beyond hundredths and more advanced decimal representations are not included.

Detailed Explanation: Place decimals on a number line

A decimal’s place value tells where it belongs on a number line:

  • The first digit after the decimal shows tenths.
  • The second digit shows hundredths.
  • Equal spaces on the number line represent equal amounts.

Example: Locate 0.350.35 on a number line.

  1. Since 0.350.35 is greater than 00 and less than 11, start with the number line from 00 to 11.

  2. Divide the whole number line into 1010 equal parts. Each part is one tenth:

0.1, 0.2, 0.3, 0.4,…0.1,\ 0.2,\ 0.3,\ 0.4,\ldots

  1. The tenths digit in 0.350.35 is 33, so 0.350.35 is between 0.30.3 and 0.40.4.

  2. Focus on the section from 0.30.3 to 0.40.4. Divide it into 1010 equal parts. Each small part is one hundredth:

0.30, 0.31, 0.32, 0.33, 0.34, 0.35,…, 0.400.30,\ 0.31,\ 0.32,\ 0.33,\ 0.34,\ 0.35,\ldots,\ 0.40
  1. Starting at 0.300.30, count 55 hundredths to reach 0.350.35. Place the point there.

You can also write:

0.35=351000.35=\frac{35}{100}

So, 0.350.35 is the fifth hundredth after 0.300.30, between 0.30.3 and $0.4.

Learn by doing: Place decimals on a number line

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

    Practice with unlimited practice problems

    Competition Math - Grade 8

      ?