Unit 2 · Number Theory
Nicola's Four-Digit Multiplication — Place Value
Lesson 1 of 18
Smallest 4-digit number = 1000. Largest 2-digit number = 99. 1000 × 99 = 99 000.
Place-value identification questions (smallest/largest N-digit number) appear regularly in the easy band of Selective MR. Students who confuse “smallest 4-digit” with 9999 or “largest 2-digit” with 100 lose marks on very straightforward calculations.
The examiner tests whether students correctly identify 1000 as the smallest 4-digit whole number and 99 as the largest 2-digit whole number, then carry out the multiplication accurately.
Students must recall the boundary values of number ranges (smallest/largest N-digit numbers) and multiply them together.
Best approach: Smallest 4-digit whole number = 1000 (one thousand). Largest 2-digit whole number = 99. Multiply: 1000 × 99 = 1000 × 100 − 1000 = 100 000 − 1000 = 99 000.
Question
Nicola multiplies the smallest four-digit whole number by the largest two-digit whole number.
What is the answer?
Select an answer to see the explanation.
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