HexMathv1.0.3

Maths calculator for arithmetic, with steps

Type or scan a sum. HexMath works it out in the right order and shows each step.

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What this page covers

  • Whole numbers, negative numbers and decimals with addition, subtraction, multiplication and division.
  • Brackets and powers, worked in the order of operations.
  • Long multiplication and division of large numbers, split into steps.
  • Not covered here: fractions (use Calculator with fractions) and expressions with letters (use Algebra calculator with steps).

How to enter the problem

  • Type it as you would write it, using * or × for times and / or ÷ for divide, or use the math keyboard.
  • Scan it. Fit the one problem in the frame.
  • Choose a photo. Several problems in one photo are solved as a list.
  • Then tap Solve.

Worked examples

Example 1

Problem

Work out 3.75×1.2+0.5\displaystyle 3.75 \times 1.2 + 0.5.

Answer

Verified

The answer is

55

Explanation

  1. Multiply without the decimal points
    375×12=4500375 \times 12 = 4500
  2. Place the decimal point
    3.753.75 has two decimal places and 1.21.2 has one, so the product has three
    4.500=4.54.500 = 4.5
  3. Add
    4.5+0.5=54.5 + 0.5 = 5

Example 2

Problem

Work out 12345×678\displaystyle 12345 \times 678.

Answer

Verified

The answer is

83699108369910

Explanation

  1. Split the second number
    678=600+70+8678 = 600 + 70 + 8
  2. Multiply by each part
    12345×600=740700012345 \times 600 = 7407000, 12345×70=86415012345 \times 70 = 864150 and 12345×8=9876012345 \times 8 = 98760.
  3. Add the partial products
    7407000+864150+98760=83699107407000 + 864150 + 98760 = 8369910

Example 3

Problem

Work out −32+4⋅(−2)3÷8\displaystyle -3^2 + 4 \cdot (-2)^3 \div 8.

Answer

Verified

The answer is

−13-13

Explanation

  1. Powers first
    −32=−9-3^2 = -9, because the power applies to the 3 only. (−2)3=−8(-2)^3 = -8, because the bracket includes the sign.
  2. Multiply and divide from left to right
    4⋅(−8)=−324 \cdot (-8) = -32, then −32÷8=−4-32 \div 8 = -4.
  3. Add
    −9+(−4)=−13-9 + (-4) = -13

Common mistakes

  • Reading −32-3^2 as 99. The power is worked before the minus sign, so −32=−9-3^2 = -9, while (−3)2=9(-3)^2 = 9.
  • Always multiplying before dividing. They rank equally and go from left to right: 48÷6×64=51248 \div 6 \times 64 = 512, not 48÷38448 \div 384.
  • Lining up decimals by their last digit when adding or subtracting. Line up the decimal points instead.
  • Dropping a zero in long multiplication: 12345×7012345 \times 70 is 864150864150, not 8641586415.

Checks, assumptions and limits

  • Estimate first. 12345×67812345 \times 678 is close to 12000×700=840000012000 \times 700 = 8400000, so an answer near 8.4 million is reasonable.
  • Check the sign. A product or quotient of two negative numbers is positive; with one negative number it is negative.
  • Division by 0 has no answer.
  • HexMath can make mistakes. Double check important steps.

Related tasks

Frequently asked questions

Brackets first, then powers, then multiplication and division from left to right, then addition and subtraction from left to right.

Without brackets the power belongs to the 3 alone, so -3² means -(3 × 3) = -9. To square -3, write (-3)², which is 9.

Yes. Choose a photo and several problems in one photo are solved as a list. Use the camera on one sum to solve just that one.

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