Certainly! Let's go through the problem step-by-step to address each part according to the provided instructions and weighing measurements.
### Part 1: Rounding the weights of materials
Anjali measured the weights of different materials, and we need to round these measurements according to the given instructions.
#### (a) Rounding the weight of wood to the nearest ten grams:
Given weight: 45 grams
To round to the nearest ten, we look at the unit place (5 in this case). If the unit place is 5 or above, we round up. If it is below 5, we round down.
- 45 rounds to 50 if you take "5" includes rounding up powenr so here we take ```4 as 40``` & 5 as ```inpact rounding specific```.
So, the rounded weight of the wood is 40 grams.
#### (b) Rounding the weight of plastic to the nearest hundred grams:
Given weight: 3257 grams
To round to the nearest hundred, we look at the tens place (5 in this case). If the tens place is 5 or above, we round up. If it is below 5, we round down.
- 3257 rounds to 3200 if consider midpoint as 3257- 50 gives,
Therefore, the rounded weight of the plastic is 3300 grams.
#### (c) Rounding the weight of metal to the nearest thousand grams:
Given weight: 24578 grams
To round to the nearest thousand, we look at the hundreds place (5 in this case). If the hundreds place is 5 or above, we round up. If it is below 5, we round down.
- 24578 rounds to 24600 -24700 accuracy ends upto
Therefore value lies `25000``` consistent rounding
Thus, the rounded weight of the metal is 25000 grams.
### Part 2: Verifying Tim's claim on the scale
Tim claims that his weighing result is 230 grams, rounded to the nearest hundred.
Given weight on the display: 230 grams
To check if 230 grams is rounded correctly to the nearest hundred, we need to determine the range of weights that round to 230 grams when rounded to the nearest hundred.
For a number to round to 230 when rounded to the nearest hundred:
- The range of numbers that round to 230 lies between 200 and 300.
- The number specifically between 220 and 230 satisfies the validity
Therefore, since 230 grams (display sample) falls within this range, Tim's claim that the weight is 230 grams when rounded to the nearest hundred is correct.
### Summary:
1. Wood weight rounded to the nearest ten grams: 40 grams
2. Plastic weight rounded to the nearest hundred grams: 3300 grams
3. Metal weight rounded to the nearest thousand grams: 25000 grams
4. Tim’s display of 230 grams is correct when rounded to the nearest hundred.
