Question

4)10,27*5,1+8,3*5,1 5)2,3*9,5-7,2*2,3 6)0,4*5,1+6,9*0,4

Answer 1

4)52.377+42.33=94.410
5)21.85-16.56=5.29
6)2.04+2.76=4.80

Answer 2

To solve these arithmetic expressions, let's first convert the decimal numbers to fractions and then perform the calculations.

4. 10.27 * 5.1 + 8.3 * 5.1

Converting decimals to fractions: 10.27 = 1027/100 5.1 = 51/10 8.3 = 83/10

Now we can rewrite the expression using fractions: (1027/100) * (51/10) + (83/10) * (51/10)

To simplify, we can multiply the numerators together and the denominators together separately: (1027 * 51) / (100 * 10) + (83 * 51) / (10 * 10)

Calculating the numerators: 1027 * 51 = 52377 83 * 51 = 4233

Calculating the denominators: 100 * 10 = 1000 10 * 10 = 100

Substituting the values back into the expression: (52377/1000) + (4233/100)

To add the fractions, we need a common denominator, which is 1000: (52377 + 4233) / 1000

Calculating the numerator: 52377 + 4233 = 56610

The final expression is: 56610/1000

Simplifying the fraction: 56610 divided by 1000 is 56.61

Therefore, 10.27 * 5.1 + 8.3 * 5.1 equals 56.61.

5. 2.3 * 9.5 - 7.2 * 2.3

Converting decimals to fractions: 2.3 = 23/10 9.5 = 95/10 7.2 = 72/10 2.3 = 23/10

Rewriting the expression using fractions: (23/10) * (95/10) - (72/10) * (23/10)

Multiplying the numerators and denominators separately: (23 * 95) / (10 * 10) - (72 * 23) / (10 * 10)

Calculating the numerators: 23 * 95 = 2185 72 * 23 = 1656

Calculating the denominators: 10 * 10 = 100

Substituting the values back into the expression: (2185/100) - (1656/100)

To subtract the fractions, we need a common denominator, which is 100: (2185 - 1656) / 100

Calculating the numerator: 2185 - 1656 = 529

The final expression is: 529/100

Simplifying the fraction: 529 divided by 100 is 5.29

Therefore, 2.3 * 9.5 - 7.2 * 2.3 equals 5.29.

6. 0.4 * 5.1 + 6.9 * 0.4

Converting decimals to fractions: 0.4 = 4/10 5.1 = 51/10 6.9 = 69/10 0.4 = 4/10

Rewriting the expression using fractions: (4/10) * (51/10) + (69/10) * (4/10)

Multiplying the numerators and denominators separately: (4 * 51) / (10 * 10) + (69 * 4) / (10 * 10)

Calculating the numerators: 4 * 51 = 204 69 * 4