Question
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5. Calculate without the use of a calcurator. a) \( 350 \div[35 \times(-10)] \) b) \( 1,5 \times 3-(14-18) \) c) \( \sqrt{81} \times(24 \div 6) \) d) \( 10 \% \) of 122

Ask by Willis Olson. in South Africa
Feb 03,2025

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Tutor-Verified Answer

Answer

a) \(-1\) b) \(8.5\) c) \(36\) d) \(12.2\)

Solution

Sure, let's solve each of the problems step by step without using a calculator. --- ### **5a) \( 350 \div [35 \times (-10)] \)** 1. **Calculate the expression inside the brackets:** \[ 35 \times (-10) = -350 \] 2. **Divide 350 by -350:** \[ 350 \div (-350) = -1 \] **Answer:** \(-1\) --- ### **5b) \( 1.5 \times 3 - (14 - 18) \)** 1. **Multiply 1.5 by 3:** \[ 1.5 \times 3 = 4.5 \] 2. **Calculate the expression inside the parentheses:** \[ 14 - 18 = -4 \] 3. **Subtract the result of the parentheses from the multiplication result:** \[ 4.5 - (-4) = 4.5 + 4 = 8.5 \] **Answer:** \(8.5\) --- ### **5c) \( \sqrt{81} \times (24 \div 6) \)** 1. **Find the square root of 81:** \[ \sqrt{81} = 9 \] 2. **Divide 24 by 6:** \[ 24 \div 6 = 4 \] 3. **Multiply the results:** \[ 9 \times 4 = 36 \] **Answer:** \(36\) --- ### **5d) \( 10\% \) of 122** 1. **Convert the percentage to a decimal:** \[ 10\% = 0.10 \] 2. **Multiply by 122:** \[ 0.10 \times 122 = 12.2 \] **Answer:** \(12.2\) --- If you have any more questions or need further clarification, feel free to ask!

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The Deep Dive

Let's break this down step by step! For part a), we have \( 350 \div [35 \times (-10)] \). First, calculate \( 35 \times (-10) = -350 \). Then, \( 350 \div -350 = -1 \). For part b), we need to compute \( 1.5 \times 3 - (14 - 18) \). First, \( 1.5 \times 3 = 4.5 \) and \( (14 - 18) = -4 \). So, \( 4.5 - (-4) = 4.5 + 4 = 8.5 \). For part c), we're finding \( \sqrt{81} \times (24 \div 6) \). Since \( \sqrt{81} = 9 \) and \( 24 \div 6 = 4 \), this gives us \( 9 \times 4 = 36 \). Lastly, part d) involves finding \( 10\% \) of 122. To do this, you multiply \( 122 \times 0.10 = 12.2 \). In summary: a) -1 b) 8.5 c) 36 d) 12.2

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