Question 12 of 37intermediate🔍 AnalyzeShort Answer2 marks

A student said 9,990 is greater than 49,014 because 9 is greater than 4. Is the student correct? Why or why not?

Correct Answer

No, the student is not correct. 49,014 is greater than 9,990.

Explanation: When comparing numbers, we must compare digits from the highest place value.

Step 1: Write both numbers in a place value chart.

Step 2: 49,014 = 4 ten-thousands + 9 thousands + 0 hundreds + 1 ten + 4 ones

Step 3: 9,990 = 0 ten-thousands + 9 thousands + 9 hundreds + 9 tens + 0 ones

Step 4: Compare from highest place value: 4 ten-thousands > 0 ten-thousands

Step 5: ∴ 49,014 > 9,990

Exercise: Let Us Do (Section 1) | Q: 4 | (Page Page 7)
For More Understanding

Explanation

The chapter explains that when comparing numbers, we need to look at the place value chart. 49,014 has 4 in the ten-thousands place (TTh), while 9,990 has 0 in the ten-thousands place. The student's mistake was comparing only the first visible digit without considering place value positions.

Solution Steps

  1. Step 1: Write both numbers in place value chart

  2. Step 2: 49,014 = 4 ten-thousands + 9 thousands + 0 hundreds + 1 ten + 4 ones

  3. Step 3: 9,990 = 0 ten-thousands + 9 thousands + 9 hundreds + 9 tens + 0 ones

  4. Step 4: Compare from highest place - 4 ten-thousands > 0 ten-thousands

  5. Step 5: Therefore, 49,014 > 9,990

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