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8 (a) Write down (i) the number twenty-seven million, three hundred sixty thousand, forty-five in figures, (ii) the six factors of 20, (iii) a fraction that is equivalent to 7/9, (iv) a prime number between 30 and 40. 9 Work out (a) -6 + +12 (b) +5 - -7 (c) -9 x +4 (d) +72 +9
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8 (a) Write down
Part i· 2 steps
the number twenty-seven million, three hundred sixty thousand, forty-five in figures.
Identify the place values for each part of the number.
Twenty-seven million is 27,000,000.
Three hundred sixty thousand is 360,000.
Forty-five is 45.Combine these values.
The number is .
Part ii
the six factors of 20.
Find all numbers that divide 20 evenly.
- The factors are 1, 2, 4, 5, 10, 20. The six factors of 20 are .
Part iii
a fraction that is equivalent to .
Multiply the numerator and the denominator by the same non-zero integer.
Let's use 2.
An equivalent fraction is .
Part iv
a prime number between 30 and 40.
List numbers between 30 and 40
31, 32, 33, 34, 35, 36, 37, 38, 39.
Identify which of these are prime (only divisible by 1 and themselves).
- 31 is prime.
- 32 is divisible by 2.
- 33 is divisible by 3.
- 34 is divisible by 2.
- 35 is divisible by 5.
- 36 is divisible by 2.
- 37 is prime.
- 38 is divisible by 2.
- 39 is divisible by 3. A prime number between 30 and 40 is (or 37).
9 Work out
Part a6
Add the numbers.
Since the signs are different, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
The result is .
Part b-2
Subtract 7 from 5.
The result is .
Part c-36
Multiply the absolute values of the numbers.
Determine the sign of the product.
A negative number multiplied by a positive number results in a negative number.
The result is .
Part d-8
Divide the absolute values of the numbers.
Determine the sign of the quotient.
A negative number divided by a positive number results in a negative number.
The result is .
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