Determine the numeric value represented by sixty two tens, that is, find the number equal to 62 groups of ten.

Difficulty: Easy

Correct Answer: 620

Explanation:


Introduction / Context:
This question again tests place value and understanding of tens in the base ten number system. Knowing how many ones are in multiple tens and how to express that as a single number is fundamental arithmetic. Sixty two tens means 62 groups of ten, and we must convert that into standard numeric form.


Given Data / Assumptions:
- Each ten is equal to ten ones.
- We have sixty two tens, which is 62 groups of 10.
- The goal is to express this quantity as a single number in standard form.


Concept / Approach:
To convert groups of ten into ones, we multiply the number of tens by 10. The product gives the total number of ones, which is directly the standard value of the quantity. This relies on the simple fact that the tens place in a decimal number represents multiples of ten. Understanding this helps with reading and writing large numbers and with operations such as multiplication and division by powers of ten.


Step-by-Step Solution:
Step 1: Interpret the phrase sixty two tens as 62 multiplied by 10, since each ten equals 10 ones. Step 2: Compute 62 * 10. This is easy because multiplying by 10 in decimal notation appends one zero to the right of the number. Step 3: 62 * 10 = 620. Step 4: Therefore, sixty two tens equal 620.


Verification / Alternative check:
We can also think in place value terms. A number with 6 hundreds and 2 tens would be 620, but here the wording sixty two tens refers to 62 tens, which is 620 ones. Expressing 620 as hundreds, tens, and ones gives 6 hundreds, 2 tens, and 0 ones. This is entirely consistent with 62 groups of ten, reinforcing that the correct standard form is 620.


Why Other Options Are Wrong:
Option 6: This is much smaller than the expected value and corresponds to 6 ones, not 62 tens.
Option 62: This represents sixty two ones, which would be 6 tens and 2 ones, not sixty two tens.
Option 2: This is only 2 ones and is completely unrelated to the scale of the question.
Option 600: This would be sixty tens, not sixty two tens. Although close in magnitude, it does not match the exact phrase sixty two tens.


Common Pitfalls:
Some learners misinterpret sixty two tens as the number 62 itself, forgetting the multiplication by ten. Another common error is to approximate, choosing 600 because it is a round figure, instead of performing the simple multiplication. Remember that tens, hundreds, and thousands are just labels indicating how many times 10, 100, or 1000 respectively are being counted.


Final Answer:
The value of sixty two tens is 620.

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