What is decimals?

Why it matters

Decimals are how kids read money, measurements, and almost every real-world number that isn’t a whole count. They also connect fractions to the place-value system, so the same "ones, tens, hundreds" pattern keeps going in the other direction.

Worked example

Write 3.47 in words and explain what each digit is worth.

1. 1

   The 3 is to the left of the decimal point, in the ones place. Its value is 3.

   Everything left of the decimal point is whole numbers — just like normal place value.

2. 2

   The decimal point separates the whole-number part from the fractional part. Read it as "and".

   So 3.47 starts as "three and..."

3. 3

   The first digit after the decimal point is in the tenths place. The 4 means 4 tenths, or 4/10.

   Tenths are pieces you’d get by cutting one whole into 10 equal parts.

4. 4

   The next digit is in the hundredths place. The 7 means 7 hundredths, or 7/100.

   Hundredths are pieces you’d get by cutting one whole into 100 equal parts — like pennies in a dollar.

5. 5

   Put it together: "three and forty-seven hundredths." Total value: 3 + 0.4 + 0.07 = 3.47. ✓

Common mistakes

• •Reading 3.47 as "three point forty-seven" and assuming the .47 is 47 of something — then thinking 3.47 is bigger than 3.5 because "47 > 5."
• •Lining up decimals by the right-hand digit instead of by the decimal point when adding or subtracting (e.g. stacking 3.47 + 1.2 with the 7 over the 2).
• •Treating extra zeros at the end as meaningful — thinking 0.5 and 0.50 are different amounts. They’re the same.
• •Ignoring leading zeros that ARE meaningful: 0.07 is NOT the same as 0.7.

How Briveli teaches decimals

Briveli introduces decimals to tenths and hundredths in Grade 4 and extends to thousandths and decimal operations (add, subtract, multiply, divide) in Grade 5 — always paired with the fraction equivalent so kids see WHY the place-value system extends to the right.