Question Video: Completing a Decreasing Pattern of Five-Digit Numbers | Nagwa Question Video: Completing a Decreasing Pattern of Five-Digit Numbers | Nagwa

# Question Video: Completing a Decreasing Pattern of Five-Digit Numbers Mathematics

Find the missing numbers in the following pattern: 96,000, ＿, 76,000, ＿, 56,000.

02:46

### Video Transcript

Find the missing numbers in the following pattern: 96,000, what, 76,000, what, 56,000.

In this question, we’re given a number pattern and we have to find the two missing numbers. We can tell from the three numbers we are given that this is a decreasing number pattern: 96,000, 76,000, 56,000. The thousands part of the number is decreasing. What’s the difference between 96,000 and 76,000? The nine digit in 96,000 has decreased by two, to a seven in the number 76,000. The difference between 96,000 and 76,000 is 20,000, and the difference between 76,000 and 56,000 is also 20,000.

The digit in the ten thousands place is decreasing by two: 96,000, 76,000, 56,000. So if the difference between our given numbers is 20,000, the midway point between each pair of numbers must be half that amount. We know that half of 20 is 10, so half of 20,000 is 10,000. So 10,000 less than 96,000 is 86,000; 10,000 less than 86,000 is 76,000; and 10,000 less than 76,000 is 66,000. And we know that 10,000 less than 66,000 is 56,000. Our numbers are decreasing by 10,000 each time: 96,000, 86,000, 76,000, 66,000, and 56,000. The missing numbers in the pattern are 86,000 and 66,000. The rule of the pattern is to subtract 10,000 each time.

## Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

• Interactive Sessions
• Chat & Messaging
• Realistic Exam Questions