Grade 4 · Common Core Math · USA

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Grade 4 takes math to the next level — bigger multiplication, long division, equivalent fractions, and your first look at decimals.

🔢 Fraction Explorer — click cells to shade in a fraction!
Halves (1/2)
Fourths (1/4)
Eighths (1/8)
Click to shade — notice how 1/2 = 2/4 = 4/8!
Click any bar to see equivalent fractions!
5units
15problems
4thgrade CC
0 / 15 solved 🏗️
Unit 1

✖️ Multi-Digit Multiplication

We multiply larger numbers by breaking them into place-value parts and adding the partial products.

Example — 24 × 13: Break into 24×10 = 240 and 24×3 = 72. Then add: 240 + 72 = 312.
35 × 6→30×6=180, 5×6=30 → 210
Q 1

23 × 4 = ?

Q 2

56 × 7 = ?

50×7=350 and 6×7=42. Add them: 350+42=392.
Q 3

24 × 13 = ?

24×10=240 and 24×3=72. Add: 240+72=312.
Unit 2

➗ Long Division

Long division breaks a big number into a quotient (answer) and sometimes a remainder. Use the steps: Divide, Multiply, Subtract, Bring down.

Steps (DMSB): Divide — how many times does the divisor fit? Multiply — write the product. Subtract — find what's left. Bring down — next digit.
84 ÷ 4→21
Q 4

96 ÷ 8 = ?

Q 5

144 ÷ 6 = ?

6 goes into 14 twice (12). Bring down 4 → 24. 6 goes into 24 four times.
Q 6

175 ÷ 7 = ?

Unit 3

⅜ Equivalent Fractions

Equivalent fractions look different but have the same value. You can multiply or divide both the numerator and denominator by the same number.

Rule: 1/2 = 2/4 = 4/8 — multiply top and bottom by the same number. To find the missing number in 1/3 = ?/9: since 3 × 3 = 9, multiply the top by 3 too → 3.
2/5 = ?/10→4 (multiply both by 2)
Q 7

1/3 = ?/9   What is the missing numerator?

Q 8

3/4 = ?/8   What is the missing numerator?

4 × 2 = 8, so multiply the top by 2 as well: 3 × 2 = 6.
Q 9

5/6 = ?/12   What is the missing numerator?

Unit 4

🔢 Decimals

Decimals extend place value to parts smaller than 1. The first place after the decimal point is tenths, the second is hundredths.

Place value: In 3.47 — 3 is ones, 4 is tenths (4/10), 7 is hundredths (7/100). To add/subtract decimals, line up the decimal points and treat them like whole numbers.
0.3 + 0.6=0.9
Q 10

Write seven tenths as a decimal.

Q 11

0.4 + 0.5 = ?

Q 12

1.5 − 0.8 = ?

Think in tenths: 15 tenths − 8 tenths = 7 tenths = 0.7.
Unit 5

🔍 Factors & Multiples

Factors divide evenly into a number. Multiples are what you get when you multiply a number by 1, 2, 3 …

Factors of 12: 1, 2, 3, 4, 6, 12 (all divide evenly into 12).
Multiples of 4: 4, 8, 12, 16, 20 … (4 × 1, × 2, × 3 …).
Factors of 8→1, 2, 4, 8
Q 13

How many factors does 12 have? (list them to check: 1, 2, 3, 4, 6, 12)

Q 14

What is the smallest number that is a multiple of both 4 and 6? (the Least Common Multiple)

Multiples of 4: 4, 8, 12 … Multiples of 6: 6, 12 … First match is 12!
Q 15

A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width?

Area = length × width → 36 = 9 × width → width = 36 ÷ 9.