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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Asked on June 13, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-06-13T13:07:05.256Z

Here are the solutions to the problems: 8 (a) Write down (i) the number twenty-seven million, three hundred sixty thousand, forty-five in figures. Step 1: 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. Step 2: Combine these values. 27,000,000 + 360,000 + 45 = 27,360,045 The number is 27,360,045. (ii) the six factors of 20. Step 1: Find all numbers that divide 20 evenly. • 1 × 20 = 20 • 2 × 10 = 20 • 4 × 5 = 20 The factors are 1, 2, 4, 5, 10, 20. The six factors of 20 are 1, 2, 4, 5, 10, 20. (iii) a fraction that is equivalent to (7)/(9). Step 1: Multiply the numerator and the denominator by the same non-zero integer. Let's use 2. (7 × 2)/(9 × 2) = (14)/(18) An equivalent fraction is (14)/(18). (iv) a prime number between 30 and 40. Step 1: List numbers between 30 and 40: 31, 32, 33, 34, 35, 36, 37, 38, 39. Step 2: 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 31 (or 37). 9 Work out (a) -6 + 12 Step 1: 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. 12 - 6 = 6 The result is 6. (b) +5 - 7 Step 1: Subtract 7 from 5. 5 - 7 = -2 The result is -2. (c) -9 × +4 Step 1: Multiply the absolute values of the numbers. 9 × 4 = 36 Step 2: Determine the sign of the product. A negative number multiplied by a positive number results in a negative number. -9 × 4 = -36 The result is -36. (d) -72 ÷ +9 Step 1: Divide the absolute values of the numbers. 72 ÷ 9 = 8 Step 2: Determine the sign of the quotient. A negative number divided by a positive number results in a negative number. -72 ÷ 9 = -8 The result is -8. Send me the next one 📸

Accepted Answer · 2026-06-13T13:07:05.256Z

Here are the solutions to the problems: 8 (a) Write down (i) the number twenty-seven million, three hundred sixty thousand, forty-five in figures. Step 1: 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. Step 2: Combine these values. 27,000,000 + 360,000 + 45 = 27,360,045 The number is 27,360,045. (ii) the six factors of 20. Step 1: Find all numbers that divide 20 evenly. • 1 × 20 = 20 • 2 × 10 = 20 • 4 × 5 = 20 The factors are 1, 2, 4, 5, 10, 20. The six factors of 20 are 1, 2, 4, 5, 10, 20. (iii) a fraction that is equivalent to (7)/(9). Step 1: Multiply the numerator and the denominator by the same non-zero integer. Let's use 2. (7 × 2)/(9 × 2) = (14)/(18) An equivalent fraction is (14)/(18). (iv) a prime number between 30 and 40. Step 1: List numbers between 30 and 40: 31, 32, 33, 34, 35, 36, 37, 38, 39. Step 2: 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 31 (or 37). 9 Work out (a) -6 + 12 Step 1: 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. 12 - 6 = 6 The result is 6. (b) +5 - 7 Step 1: Subtract 7 from 5. 5 - 7 = -2 The result is -2. (c) -9 × +4 Step 1: Multiply the absolute values of the numbers. 9 × 4 = 36 Step 2: Determine the sign of the product. A negative number multiplied by a positive number results in a negative number. -9 × 4 = -36 The result is -36. (d) -72 ÷ +9 Step 1: Divide the absolute values of the numbers. 72 ÷ 9 = 8 Step 2: Determine the sign of the quotient. A negative number divided by a positive number results in a negative number. -72 ÷ 9 = -8 The result is -8. Send me the next one 📸

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 (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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