Answer
1.5 The original price of the washing machine was R5,400.
1.6 1,999.34 rounded to the nearest thousand is 2,000.
Solution
Alright, I need to solve two problems here. The first one is about calculating the original price of a washing machine after a discount, and the second one is about rounding a number to the nearest thousand. Let's tackle them one by one.
**Problem 1.5:**
The price of a washing machine after a discount of 13% is R4,699. I need to find the original price before the discount. Let's denote the original price as \( P \).
First, I recall that a discount of 13% means the customer pays 87% of the original price (since 100% - 13% = 87%). So, the equation can be set up as:
\[ 0.87P = 4,699 \]
To find \( P \), I'll divide both sides of the equation by 0.87:
\[ P = \frac{4,699}{0.87} \]
Now, let's perform the division:
\[ P = 4,699 \div 0.87 \]
Calculating this:
\[ 4,699 \div 0.87 = 5,400 \]
So, the original price of the washing machine was R5,400.
**Problem 1.6:**
I need to round the number 1,999.34 to the nearest thousand. To do this, I'll look at the digit in the hundreds place, which is 9 in this case.
The rule for rounding is:
- If the digit in the hundreds place is 5 or greater, I round up the thousands place by 1.
- If it's less than 5, I keep the thousands place as it is.
Since the hundreds digit is 9, which is greater than 5, I'll round up the thousands place from 1 to 2.
Therefore, 1,999.34 rounded to the nearest thousand is 2,000.
But wait, let me double-check to ensure I didn't make a mistake. If I consider 1,999.34, it's closer to 2,000 than to 1,000, so rounding up makes sense. Alternatively, if it were 1,499.34, it would round down to 1,000, but since it's 1,999.34, rounding up is correct.
Another way to verify is to see that 1,999.34 is just 0.66 away from 2,000 and 999.34 away from 1,000. Clearly, 2,000 is the nearest thousand.
**Conclusion:**
- The original price of the washing machine was R5,400.
- 1,999.34 rounded to the nearest thousand is 2,000.
Answered by UpStudy AI and reviewed by a Professional Tutor
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