Question

3/10+7/6÷5/3=? 2,3×10^-1 + 2,7×10^-2=?

Answer 1

Ответ:

1) 3/10 + 7/6 ÷ 5/3 = 1

2) 2,3 × 10^-1  + 2,7 × 10^-2 = 0,257

Пошаговое объяснение:

1) 3/10 + 7/6 ÷ 5/3 = 3/10 + 7/10 = 0,3 + 0,7 = 1

2) 2,3 × 10^-1  + 2,7 × 10^-2 = 2,3 * 0,1 + 2,7 * 0,01 = 0,23 + 0,027 = 0,257

Answer 2

To solve the given expressions, let's break them down step by step:

1. 3/10 + 7/6 ÷ 5/3

To perform this calculation, we need to follow the order of operations (PEMDAS/BODMAS) which states that we should perform multiplication and division before addition and subtraction.

First, let's simplify the division part:

7/6 ÷ 5/3 = (7/6) × (3/5) = (7 × 3) / (6 × 5) = 21/30

Now, we can rewrite the expression as:

3/10 + 21/30

To add these fractions, we need to find a common denominator, which is the least common multiple (LCM) of 10 and 30, which is 30.

Converting the fractions to have a common denominator:

3/10 + 21/30 = (3/10) + (21/30) × (1/1) = (3/10) + (21/30) × (10/10) = 3/10 + 210/300

Now, we can add the fractions:

3/10 + 210/300 = (3 × 30)/(10 × 30) + 210/300 = 90/300 + 210/300 = 300/300 = 1

Therefore, 3/10 + 7/6 ÷ 5/3 equals 1.

2. 2.3 × 10^-1 + 2.7 × 10^-2

To add these numbers, we need to convert them to have the same exponent (power of 10). Let's convert both numbers to have a power of 10^-2:

2.3 × 10^-1 + 2.7 × 10^-2 = (2.3 × 10^-1) × (10^1/10^1) + (2.7 × 10^-2) × (10^0/10^0) = 23 × 10^-2 + 2.7 × 10^-2

Now, we can add the numbers:

23 × 10^-2 + 2.7 × 10^-2 = (23 + 2.7) × 10^-2 = 25.7 × 10^-2

Since 10^-2 represents a division by 100 (10^2), we can simplify the expression:

25.7 × 10^-2 = 25.7 / 100 = 0.257

Therefore, 2.3 × 10^-1 + 2.7 × 10^-2 equals 0.257.