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A pupil formed three-digit numbers using the digits 2, 1 and 6 without repeating a digit in each number formed. Write down the; (a) three-digit odd numbers formed. (b) three-digit numbers divisible by 4.
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21. A pupil formed three-digit numbers using the digits 2, 1 and 6 without repeating a digit in each number formed.
a) Write down the three-digit odd numbers formed.
Identify the odd digit.
For a three-digit number to be odd, its last digit must be odd. Among the digits 2, 1, and 6, only 1 is an odd digit.
Form the numbers.
Place 1 in the units position. The remaining digits (2 and 6) can be arranged in the hundreds and tens positions.
The possible arrangements are 261 and 621.The three-digit odd numbers formed are .
b) Write down the three-digit numbers divisible by 4.
List all possible three-digit numbers using digits 1, 2, 6 without repetition.
The possible numbers are:
126, 162
216, 261
612, 621Apply the divisibility rule for 4.
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
- For 126, the last two digits form 26. remainder 2. Not divisible by 4.
- For 162, the last two digits form 62. remainder 2. Not divisible by 4.
- For 216, the last two digits form 16. . Divisible by 4.
- For 261, the last two digits form 61. remainder 1. Not divisible by 4.
- For 612, the last two digits form 12. . Divisible by 4.
- For 621, the last two digits form 21. remainder 1. Not divisible by 4.
The three-digit numbers divisible by 4 are .
22.
a) Round off 52.479 to the nearest tenth.
Identify the tenths digit.
In 52.479, the tenths digit is 4.
Look at the digit immediately to the right of the tenths digit.
The digit to the right of 4 is 7.
Round up or keep the tenths digit.
Since 7 is 5 or greater, we round up the tenths digit (4 becomes 5). All digits after the tenths place are dropped.
52.479 rounded to the nearest tenth is .
b) Work out:
Calculate the numerator.
Calculate the denominator.
Perform the division.
To simplify, multiply the numerator and denominator by 100 to remove decimals from the denominator:
Now, divide:
The value is .
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