Decimals

Practice 3 items →

Tenths are a new place, not a new kind of number. Students use tenths, hundredths, and thousandths, convert between fractions and decimals for those places, and compare, order, and round decimals.

Specification · for a parent or teacher

Part no.: decimal-place-value
Course: Advanced Math 4 · Unit 12
Realm: Foundations
Difficulty: 2 of 4 — Grade 4–5. Two steps, or one idea in a story.
Qty: 3 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

use tenths, hundredths, thousandths; convert fraction ↔ decimal for these places; compare, order, and round decimals.

Ready when

they can place 0.4, 0.38, 0.5, $\frac14$ on one line and round 3.46 to the nearest tenth.

Formulas

Decimal places

\tfrac{1}{10} = 0.1,\quad \tfrac{1}{100} = 0.01,\quad \tfrac{1}{1000} = 0.001

Watch for

0.19 > 0.2 because 19 > 2; 0.30 called bigger than 0.3.

Before · requires

Numbers to 1,000,000place-value-million · Math 4
Fractionsfraction-fundamentals · Math 4

After · used by

Addition and subtraction of decimalsdecimal-add-sub · Math 4
Multiplication and division of decimalsdecimal-mul-div-intro · Math 4
Whole numbers to one billionplace-value-billion · Math 5
Negative numbers and absolute valueintegers-absolute-value · Math 6

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