Use mental math to decide which equations are true. Drag the true equations into the box

True equations

1.23 divide by 10/1 = 0.123

123 divide by 100 = 1.23

12.3 divide 10/0 = 1.23

0.123 divide by 10 = 1.23

1,230 divide by 10/3 = 1.23

1 answer

Let's evaluate each of the equations using mental math:

  1. 1.23 divide by 10/1 = 0.123

    • \(1.23 \div 10 = 0.123\) (True)
  2. 123 divide by 100 = 1.23

    • \(123 \div 100 = 1.23\) (True)
  3. 12.3 divide 10/0 = 1.23

    • Division by zero is undefined. (False)
  4. 0.123 divide by 10 = 1.23

    • \(0.123 \div 10 = 0.0123\) (False)
  5. 1,230 divide by 10/3 = 1.23

    • \(1,230 \div \frac{10}{3} = 1,230 \times \frac{3}{10} = 369\) (False)

Based on this evaluation, the true equations are:

  1. 1.23 divide by 10/1 = 0.123
  2. 123 divide by 100 = 1.23

So, the box for true equations should contain:

  • 1.23 divide by 10/1 = 0.123
  • 123 divide by 100 = 1.23