Multiply numbers ending in zeroes: word problems

Key notes :

  • Read the problem carefully to identify the numbers and the operation required.
  • Recognize when numbers in the problem end in zeroes, which can simplify calculations.
  • Identify the numbers involved and their significance in the problem.
  • Highlight or underline key values, especially those ending in zeroes.
  • Remove Zeroes Temporarily: Multiply the non-zero parts of the numbers first.
  • Reintroduce the Zeroes: Add the total number of zeroes from the original numbers to the result.

Identify and Count Zeroes:

  • Determine how many zeroes each number has.
  • Example: In a problem with 400 and 50, count zeroes in both numbers.

Multiply the Non-Zero Parts:

  • Focus on the digits before the zeroes.
  • Example: Multiply 4 (from 400) by 5 (from 50), resulting in 20.

Reintroduce the Zeroes:

  • Combine the number of zeroes from both original numbers.
  • Example: 400 has 2 zeroes and 50 has 1 zero, totaling 3 zeroes.

Write the Final Answer:

  • Attach the total number of zeroes to the result.
  • Example: 20 with 3 zeroes is 20000.

Check Your Work:

  • Verify that the final answer makes sense in the context of the problem.
  • Recalculate if necessary to ensure accuracy.

Extract Information:

  • Number of boxes: 600
  • Number of toys per box: 50

Identify and Count Zeroes:

  • 600 has 2 zeroes.
  • 50 has 1 zero.

Multiply the Non-Zero Parts:

  • Non-zero parts: 6 (from 600) and 5 (from 50).
  • Multiply: 6×5=30.

Reintroduce the Zeroes:

  • Total zeroes: 2 (from 600) + 1 (from 50) = 3 zeroes.

Write the Final Answer:

  • Combine the product with the zeroes: 30 with 3 zeroes = 30000.

Final Answer: The factory produces 30,000 toys each day.

Step 1: Understand the Problem:

  • Mary bought 8 packs of pencils.
  • Each pack contains 24 pencils.
  • We need to find out how many pencils Mary bought in total.

Step 2: Plan the Solution:

  • We will multiply the number of packs by the number of pencils per pack.

Step 3: Perform the Calculation:

Total number of pencils = Number of packs×Pencils per  pack

8×24 =192=192

Step 4: Verify the Solution:

  • To verify, we can divide the total number of pencils (192) by the number of packs (8) and see if we get the number of pencils per pack (24).

Step 5: State the Solution:

  • Mary bought a total of 192 pencils.

🗼 There are 20 flowers on each quilt.

There are 20 flowers on each of the 700 quilts. Multiply 20 by 700.

First, multiply 2 and 7.

2 × 7 = 14

Now count the zeroes in both numbers.

20 × 700 = ?

There are 3 zeroes in all. Write 3 zeroes after 14.

20 × 700 = 14,000

There are 14,000 flowers in all on 700 quilts.

🗼 An airline carries 7,000 passengers per day.

The airline carries 7,000 passengers per day for 8 days. Multiply 7,000 by 8.

First, multiply the non-zero parts of the numbers:

7 × 8 = 56

Now add back the zeroes at the end:

56,000

The airline will carry 56,000 passengers in 8 days.

Let’s practice!🖊️