Answer: rearranging the equation to solve for c:
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Q = mcΔT
c = Q / mΔT
c = (10,000 joules) / (200 grams * 80 degrees Celsius)
c = 0.625 joules/gram-degree Celsius
Therefore, the specific heat of the metal is 0.625 joules/gram-degree Celsius, which corresponds to answer choice (c).
Average Bloxyy
When you multiply with multi-digit numbers, you need to pay special attention to
place value. To help, you can use patterns in the number of Os in the factors of a
product and the number of Os in the product.
a. Look at the partial products used to find the product of 512
and 24. Compare the number of zeros in each partial product
to the number of zeros in its factors. Look at both red and
blue zeros. Describe any patterns you see.
To find the product of 512 and 24, we can use partial products. The steps for this calculation are shown below:
512 x 24
512 x 20 + 512 x 4
10,24 + 2,048
12,288
As you can see, the partial products in this calculation have the same number of zeros as their factors. For example, the first partial product (512 x 20) has two zeros, which is the same as the number of zeros in its factors (5 x 2). The second partial product (512 x 4) also has two zeros, which is the same as the number of zeros in its factors (5 x 4).
This pattern continues in the final product, 12,288, which has four zeros. This is the same as the total number of zeros in the factors (2 + 2 = 4).
Therefore, the pattern we see in this calculation is that the number of zeros in the partial products and the final product is equal to the number of zeros in the factors.