Math explorers

Rational Number Operations

Grade 6Number Operations

Use long division, decimal operations, and division of fractions.

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1Long division

Divide, multiply, subtract, and bring down the next digit. Keep each quotient digit in its place.

Worked example6552 ÷ 28 = 234

65 ÷ 28 gives 2, remainder 9. Bring down 5: 95 gives 3, remainder 11. Bring down 2: 112 gives 4. Check: 234 × 28 = 6552.

Line up the decimal points. Add zeros when useful, then regroup as with whole numbers.

Worked example18.75 + 6.48 = 25.23

20.40 − 7.86 = 12.54. Estimate first: about 20 − 8 = 12, so the result is reasonable.

For multiplication, count decimal places. For division, multiply both numbers by the same power of ten to make the divisor whole.

Worked example3.6 × 2.4 = 8.64

7.56 ÷ 0.6 = 75.6 ÷ 6 = 12.6. Moving both decimal points keeps the quotient the same.

Keep the first fraction, change division to multiplication, and use the reciprocal of the second fraction.

Worked example3/4 ÷ 2/3 = 3/4 × 3/2 = 9/8

9/8 = 1 1/8. For mixed numbers, convert to improper fractions first; simplify the final answer.

Question 1 of 5

What is 3456 ÷ 24?

Need a hint?

24 × 100 = 2400; divide the remaining 1056 by 24.