Video: Identifying the Smallest and the Greatest 2-Digit Numbers That Could Be Formed Using the Given Numbers

What are the greatest and smallest two-different-digit numbers that can be made with the digits 9, 4, and 3?

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Video Transcript

What are the greatest and smallest two-different-digit numbers that can be made with the digits nine, four, and three?

In this question, we’re being asked to make two numbers using the digits nine, four, and three. We could use digit cards to help. We have to find the greatest and the smallest two-digit numbers we can make. The question also tells us that the digits have to be different in our two-digit numbers. This means that we can’t use the same digit twice in a number. Each of our numbers has to have two different digits. Let’s use place value charts to help.

What is the greatest number we could make with the digits nine, four, and three? We know greatest means the number with the most value. Which digit could we put in the tens place to make the greatest number? Nine, four, or three? We should put the nine digit in the tens place because this is the digit which has the greatest value. Nine 10s are 90.

Which digit should we position in the ones place? Which is worth more? Four or three? Four is worth more than three. So, the greatest number we can make with the digits nine, four, and three is the number 94. Nine 10s are worth 90. Four ones are worth four. 90 and four makes 94.

What’s the smallest two-digit number we could make with the digits nine, four, and three? Remember, we can’t use the same digit twice in this number. Which of our three digits has the least value? Nine, four, or three? We need to put the digit with the least value in the tens place in the chart. The digit with the least value is three. Three 10s are worth 30. 10, 20, 30. Three 10s are less than four 10s or nine 10s.

Which of our remaining digits is worth the least? Is it nine or four? Four is worth less than nine. Three 10s are worth 30. Four ones are worth four. 30 and four makes 34.

We used the digits nine, four, and three to make the greatest and smallest two-different-digit numbers. The greatest number is 94, and the smallest number is 34.

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