Long Multiplication: 68 × 9

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

What is 68 × 9?

Answer

68 × 9 = 612

68 × 9 and 9 × 68 are the same product — the order of the factors never changes the answer, only the working. Below, 68 is multiplied by 9 in a column, digit by digit.

68 × 9 in a Column

The multiplicand goes on top, the multiplier underneath, both aligned on the right. The multiplier has a single digit, so there is one partial product and the answer goes straight under the line.

  68
×  9
 612
68 × 9 = 612

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 9: 68 × 9 = 612.

  • 8 × 9 = 72. Write 2 and carry 7.
  • 6 × 9 = 54, plus the carried 7 makes 61. Write 1 and carry 6.
  • No digits are left, so the carried 6 is written in front: the partial product is 612.

68 × 9

=

612

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 612 ÷ 9 = 68 must come out exactly, with no remainder.

Fractions are a different calculation. Both factors here are whole numbers; for 2/3 or 2 3/4 use the fraction multiplication calculator, which multiplies numerators and denominators separately.

68 × 9 is a number, not an area. If those are the sides of a room in feet, the answer is 612 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

Related Calculations

See Also

About "Long Multiplication Calculator" Calculator

This calculator multiplies two whole numbers the way it is done on paper: digit by digit, carrying where the column overflows, then adding the partial products together. For example, it can help you find out what is 68 × 9? (The answer is: 612). Enter the multiplicand (e.g. '68') and the multiplier (e.g. '9') and hit the button. The order of the two numbers does not matter — 68 × 9 and 9 × 68 are the same product — so either number can go on top. Fractions and mixed numbers belong to the fraction multiplication calculator, and the reverse operation is long division.

"Long Multiplication Calculator" Calculator

Multiplicand (number to be multiplied)

Multiplier (number to multiply by)

Products of 68

MultiplicationProduct
58 × 9522
59 × 9531
60 × 9540
61 × 9549
62 × 9558
63 × 9567
64 × 9576
65 × 9585
66 × 9594
67 × 9603
68 × 9612
69 × 9621
70 × 9630
71 × 9639
72 × 9648
73 × 9657
74 × 9666
75 × 9675
76 × 9684
77 × 9693

FAQ

What is 68 × 9?

68 × 9 = 612

Is 68 × 9 the same as 9 × 68?

Yes. Multiplication is commutative, so both come to 612. Only the working differs: this page multiplies by 9, which gives a single partial product.

How do you check that 68 × 9 = 612?

Divide the product back by one of the factors: 612 ÷ 9 = 68 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 68 × 9?

There is only one: the multiplier 9 has a single digit, so 68 × 9 = 612 is written straight under the line, with no addition step.

See Also