Question

1. \\(456 \times 78 = r\\)

1. \\(703.59 + 187.28 = d\\)

1. \\(34.5 \times 17.28 = v\\)

Explanation:

Solve for r in Question 8

We need to calculate the product of two whole numbers.
Using the Multi-Digit Multiplication knowledge point:

$$ r = 456 \times 78 $$

First, multiply \(456 \times 8\):

$$ 456 \times 8 = 3648 $$

Next, multiply \(456 \times 70\):

$$ 456 \times 70 = 31920 $$

Add the partial products:

$$ 3648 + 31920 = 35568 $$

Thus, \(r = 35568\).

Solve for d in Question 10

We need to find the sum of two decimal numbers.
Using the Decimal Arithmetic knowledge point:

$$ d = 703.59 + 187.28 $$

Align the decimal points and add:

$$
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$$

Thus, \(d = 890.87\).

Solve for v in Question 12

We need to multiply two decimal numbers.
Using the Decimal Arithmetic knowledge point:
First, multiply as whole numbers:

$$ 345 \times 1728 $$

Calculate the product:

$$ 1728 \times 300 = 518400 $$

$$ 1728 \times 40 = 69120 $$

$$ 1728 \times 5 = 8640 $$

Sum the partial products:

$$ 518400 + 69120 + 8640 = 596160 $$

Count the total decimal places in the factors:
\(34.5\) has 1 decimal place, and \(17.28\) has 2 decimal places, giving 3 decimal places in total.
Place the decimal point:

$$ v = 596.160 = 596.16 $$

Thus, \(v = 596.16\).

Answer:

No.	Problem	Answer
10	\(703.59 + 187.28 = d\)	\(d = 890.87\)
12	\(34.5 \times 17.28 = v\)	\(v = 596.16\)