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Math

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PROBLEM

3. Multiply:
(a) 3.2×63.2 \times 6
(b) 2.85×82.85 \times 8
(c) 7.49×237.49 \times 23
(e) 0.426×230.426 \times 23
(e) 5.82×2.55.82 \times 2.5
(g) 1.026×10001.026 \times 1000
(4) 0.008×10000.008 \times 1000
(1) 1.832×17.351.832 \times 17.35
(k) 0.057×0.060.057 \times 0.06
(h) 16.92×105.416.92 \times 105.4
(a) If a bag of paddy weighs 75.25 kg , what is the weight of 150 bags?
(b) 1.25 m of cloth is required to make 1 shirt. What is the length of cloth requir make 8 shirts?

STEP 1

1. Each multiplication problem is independent.
2. We will perform straightforward multiplication for each pair of numbers.
3. For problems involving real-world scenarios, we will interpret the multiplication in context.

STEP 2

1. Multiply the given numbers for each part.
2. Interpret the results in context for real-world scenarios.

STEP 3

Multiply 3.2×63.2 \times 6.
\[
3.2 \times 6 = 19.2 $$

STEP 4

Multiply 2.85×82.85 \times 8.
\[
2.85 \times 8 = 22.8 $$

STEP 5

Multiply 7.49×237.49 \times 23.
\[
7.49 \times 23 = 172.27 $$

STEP 6

Multiply 0.426×230.426 \times 23.
\[
0.426 \times 23 = 9.798 $$

STEP 7

Multiply 5.82×2.55.82 \times 2.5.
\[
5.82 \times 2.5 = 14.55 $$

STEP 8

Multiply 1.026×10001.026 \times 1000.
\[
1.026 \times 1000 = 1026 $$

STEP 9

Multiply 0.008×10000.008 \times 1000.
\[
0.008 \times 1000 = 8 $$

STEP 10

Multiply 1.832×17.351.832 \times 17.35.
\[
1.832 \times 17.35 = 31.7922 $$

STEP 11

Multiply 0.057×0.060.057 \times 0.06.
\[
0.057 \times 0.06 = 0.00342 $$

STEP 12

Multiply 16.92×105.416.92 \times 105.4.
\[
16.92 \times 105.4 = 1783.368 $$

STEP 13

Calculate the weight of 150 bags, each weighing 75.25 kg.
\[
75.25 \times 150 = 11287.5 \text{ kg} $$

SOLUTION

Calculate the length of cloth required to make 8 shirts, each requiring 1.25 m.
\[
1.25 \times 8 = 10 \text{ m} $$ The solutions to the multiplication problems are as follows:
(a) 3.2×6=19.23.2 \times 6 = 19.2
(b) 2.85×8=22.82.85 \times 8 = 22.8
(c) 7.49×23=172.277.49 \times 23 = 172.27
(e) 0.426×23=9.7980.426 \times 23 = 9.798
(e) 5.82×2.5=14.555.82 \times 2.5 = 14.55
(g) 1.026×1000=10261.026 \times 1000 = 1026
(4) 0.008×1000=80.008 \times 1000 = 8
(1) 1.832×17.35=31.79221.832 \times 17.35 = 31.7922
(k) 0.057×0.06=0.003420.057 \times 0.06 = 0.00342
(h) 16.92×105.4=1783.36816.92 \times 105.4 = 1783.368
(a) The weight of 150 bags is 11287.5 kg11287.5 \text{ kg}.
(b) The length of cloth required for 8 shirts is 10 m10 \text{ m}.

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