Question

solve.1. $4.2 \times 8.1$2. $9.4 \times 6.3$3. $0.78 \times 4.7$4. $0.05 \times 3.7$5. $0.3 \times 1.52$6. $0.80 \times 3.8$7. $7.1 \times 4.5$8. $2.4 \times 0.64$9. $0.06 \times 5.7$10. $9.9 \times 6.6$11. $8.1 \times 5.7$12. $0.07 \times 24.3$lete. name the property used.13. $(\underline{\quad} \times 6.2) - (\underline{\quad} \times 1.1) = \underline{\quad} \times (6.2 - 1.1)$14. $8.9 \times (5.3 \times 3.4) = (8.9 \times \underline{\quad}) \times 3.4$15. s car can go 15.4 miles on 116. clara wants to cover the top of her jewelry box. the top of the box is a with a length of 9.4 cm

Explanation:

Step1: Calculate 4.2×8.1

First, multiply as integers: $42×81=3402$. Count total decimal places (1+1=2). Place decimal: $\frac{3402}{100}=34.02$

Step2: Calculate 9.4×6.3

Multiply as integers: $94×63=5922$. Count decimal places (1+1=2). Place decimal: $\frac{5922}{100}=59.22$

Step3: Calculate 0.78×4.7

Multiply as integers: $78×47=3666$. Count decimal places (2+1=3). Place decimal: $\frac{3666}{1000}=3.666$

Step4: Calculate 0.05×3.7

Multiply as integers: $5×37=185$. Count decimal places (2+1=3). Place decimal: $\frac{185}{1000}=0.185$

Step5: Calculate 0.3×1.52

Multiply as integers: $3×152=456$. Count decimal places (1+2=3). Place decimal: $\frac{456}{1000}=0.456$

Step6: Calculate 0.80×3.8

Multiply as integers: $80×38=3040$. Count decimal places (2+1=3). Place decimal: $\frac{3040}{1000}=3.04$

Step7: Calculate 7.1×4.5

Multiply as integers: $71×45=3195$. Count decimal places (1+1=2). Place decimal: $\frac{3195}{100}=31.95$

Step8: Calculate 2.4×0.64

Multiply as integers: $24×64=1536$. Count decimal places (1+2=3). Place decimal: $\frac{1536}{1000}=1.536$

Step9: Calculate 0.06×5.7

Multiply as integers: $6×57=342$. Count decimal places (2+1=3). Place decimal: $\frac{342}{1000}=0.342$

Step10: Calculate 9.9×6.6

Multiply as integers: $99×66=6534$. Count decimal places (1+1=2). Place decimal: $\frac{6534}{100}=65.34$

Step11: Calculate 8.1×5.7

Multiply as integers: $81×57=4617$. Count decimal places (1+1=2). Place decimal: $\frac{4617}{100}=46.17$

Step12: Calculate 0.07×24.3

Multiply as integers: $7×243=1701$. Count decimal places (2+1=3). Place decimal: $\frac{1701}{1000}=1.701$

Step13: Fill in missing value (Q13)

Recognize Distributive Property: $a×b - a×c = a×(b-c)$. Missing value: $3$

Step14: Fill in missing value (Q14)

Recognize Associative Property: $a×(b×c)=(a×b)×c$. Missing value: $5.3$

Answer:

1. $34.02$
2. $59.22$
3. $3.666$
4. $0.185$
5. $0.456$
6. $3.04$
7. $31.95$
8. $1.536$
9. $0.342$
10. $65.34$
11. $46.17$
12. $1.701$
13. Missing value: $3$, Property: Distributive Property of Multiplication over Subtraction
14. Missing value: $5.3$, Property: Associative Property of Multiplication