Answer:
4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place.
Step-by-step explanation:
1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.
2 : 4,110 - No, the digit at ones place is zero and ones place is 10.
3 : 5,909 - No, the digit at ones place is 9 and digit at tens place is 0.
4 : 5,011 - Yes, the digit at ones place is 1 and the digit at tens place is 10. One tenth of 10 is 1.
The value a digit has in a number by virtue of its position, is known as its place value
The correct responses are;
4,099; [tex]{}[/tex] Yes
4,110; [tex]{}[/tex] No
5,909; [tex]{}[/tex] No
5,011; [tex]{}[/tex] Yes
The reason the above values are correct are as follows:
The the given numbers are presented as follows;
4,099, 4,110, 5,909, and 5,011
Required:
To choose Yes or No if the ones place digit is 1/10 the value of the digit in the tens place
Solution:
Number: 4,099
The value of the digit in the tens place = 90
The digit in the ones place is 9
1/10 × 90 = 9
Therefore, the digit in the ones place is 1/10 the value of the digit in the tens place
4,099; Yes
Number: 4,110
The value of the digit in the tens place = 10
The digit in the ones place is 0
1/10 × 10 = 1
Therefore, the digit in the ones place is not 1/10 the value of the digit in the tens place
4,110; No
Number: 5,909
The value of the digit in the tens place = 0
The digit in the ones place = 9
Therefore, the digit in the ones place is not 1/10 the value of the digit the tens place
5,909; No
Number: 5,011
The value of the digit in the tens place = 10
The digit in the ones place = 1
(1/10) × 10 = 1
Therefore, the digit in the ones place is 1/10 the value of the digit in the tens place
5,011; Yes
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