Virginia SOL Math / Grade 4 / Number & Number Sense

4.NS.4

Decimals Through Thousandths

What you'll learn

  • Read, write, and represent decimals through thousandths
  • Identify the place and value of each digit in a decimal
  • Compare and order decimals through thousandths

Words to know

Decimal —
a number with a decimal point, like 0.75
Tenths —
the first place after the decimal point
Hundredths —
the second place after the decimal point
Thousandths —
the third place after the decimal point
Decimal point —
the dot that separates ones from tenths

Why it matters Decimals show up in money, measurements, and sports times, so reading them exactly matters.

Worked examples

Model ItI do

Name the place and value of the 4 in 0.246.

The 2 is tenths, the 4 is hundredths, and the 6 is thousandths. So the 4 is in the hundredths place, and its value is 4 hundredths, or 0.04.

Try It TogetherWe do

Compare 0.3 and 0.28.

Write 0.3 as 0.30 so both have hundredths. Compare: 30 hundredths is more than 28 hundredths, so 0.3 > 0.28.

Now YouYou do

Order 0.5, 0.05, and 0.55 from least to greatest.

Line up the decimal points and compare place by place. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Write the value of the 6 in 0.6.

  2. 2.Write three tenths as a decimal.

  3. 3.Write >, <, or = : 0.4 ___ 0.7

On Level

The core Quick Check from the book.

  1. 1.Write the value of the 7 in 0.371.

  2. 2.Write >, <, or = : 0.6 ___ 0.60

  3. 3.Write four hundredths as a decimal.

  4. 4.Order from greatest to least: 0.9, 0.19, 0.91.

  5. 5.Write 0.125 in word form.

Challenge

Stretch your thinking.

  1. 1.Order from least to greatest: 0.408, 0.48, 0.084.

  2. 2.Write the value of the 5 in 2.135.

  3. 3.Write >, <, or = : 0.37 ___ 0.370