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