Consider the problem...
Challenge Time!
What numbers are missing?
Goal:
Goal:
Oh no! Some of the numbers from the problem below are missing. Click through the slides to see an example of how to solve a mystery numbers problem.
Use Your Clues
By using the numbers, you have, you can find what is missing. Start by looking at the 2 in the quotient. You can see that the 2 is multiplied by something to get the 30 that is subtracted from the dividend.
Think 2 x ____ = 30
Using your multiplication skills, you know that 2 x 15 = 30. The missing divisor is 15.
Keep Going
Now that you know the divisor is 15, you can solve for the missing digit in the quotient. You can see that after you bring down your 0, you are dividing the number 120. Now you can solve 120 ÷ 15, which equals 8.
The missing digit in the quotient is 8.
The mystery is solved!
Remember that multiplication is the opposite of division. Sometimes working backwards with multiplication is helpful when solving a division mystery.
Use your understanding of multi-digit division equations to solve the activity below by determining the missing digits. When ready, click each tab to reveal the solution.
The missing numbers are both 5. If you focus on the numbers that you have, guess and check along with the clues the numbers give you, you will be able to solve for what you don’t know.
You can see that your quotient is 19.
You can also see that you are making 19 groups with 40-something in them (the 4 in tens place of the divisor gives you this clue).
You can see that your dividend has an 8 in the hundreds place and a 5 in the ones.
Using multiplication, you can guess and check to find a factor to multiply 19 with that gives a product of 8 _ 5. The only factor that fits is 45.
The missing number in your quotient is 2. The missing number from your dividend is 6. You can see that your divisor is 29.
You can see that your dividend has a 6 in the
hundreds and a 9 in the tens place.
Your quotient is two digits, with a 4 in the ones
place.
You can divide the 69 of your dividend to find that the missing piece of your quotient is 2. You can make 2 equal groups of 29 from 69.
Now you can multiply 24, your quotient, by 29, your divisor, to find that your dividend is 696.
Click the image below.
