Question

in questions 1–4, use what you know about multiplication, division, place value, and partial qu

1. 3.91 ÷ 0.23
2. 39.1 ÷ 2.3
3. 391 ÷ 23
4. describe the relationship among questions 1, 2, and 3.

1. 3.91 ÷ 0.23 = \square

(type a whole number or a decimal.)

Explanation:

1. Solve \( 3.91 \div 0.23 \)

Step 1: Convert divisor to whole number

To divide by a decimal, we can multiply both the dividend and the divisor by 100 to eliminate the decimal in the divisor. So, \( 3.91 \times 100 = 391 \) and \( 0.23 \times 100 = 23 \).

Step 2: Perform the division

Now we have \( 391 \div 23 \). We know that \( 23 \times 17 = 391 \), so \( 391 \div 23 = 17 \).

Step 1: Convert divisor to whole number

Multiply both the dividend and the divisor by 10 to make the divisor a whole number. \( 39.1 \times 10 = 391 \) and \( 2.3 \times 10 = 23 \).

Step 2: Perform the division

We now have \( 391 \div 23 \). As calculated before, \( 23 \times 17 = 391 \), so \( 391 \div 23 = 17 \).

Step 1: Divide

We find how many times 23 goes into 391. \( 23 \times 17 = 391 \), so the result is 17.

Answer:

17

2. Solve \( 39.1 \div 2.3 \)