Question

One way to divide decimal numbers is to use an equivalent expression.

Complete the statements below to explain one way to find 3.75 ÷ 1.50

3.75 ÷ 1.50
is equivalent to 375 ÷ 150.
The dividend and divisor were both multiplied by.
The quotient of both expressions is.

Answer 1

gives us the quotient of 2.5, which is the same as dividing 3.75 by 1.50.

Explanation:

To find 3.75 ÷ 1.50, one way is to use an equivalent expression:

1. Rewrite the division expression: 3.75 ÷ 1.50

2. Convert the decimal numbers to whole numbers by multiplying both the dividend and divisor by 100: 375 ÷ 150.

3. The dividend and divisor were both multiplied by 100 to maintain the same value of the division expression.

4. Divide 375 by 150: 375 ÷ 150 = 2.5.

5. The quotient of both expressions is 2.5.

By multiplying both the dividend and divisor by 100, we move the decimal point two places to the right, converting the decimal numbers to whole numbers. This makes the division easier to perform and maintains the same value of the division expression. Dividing 375 by 150 gives us the quotient of 2.5, therefore the awnser has to be 2.5

Answer 2

`\textsf{ The dividend and divisor were both multiplied by \boxed{\sf 100} }`

`\sf \textsf{The quotient of both expressions is \boxed{ \sf 2.5. } }`

Explanation:

3.75 ÷ 1.50 is equivalent to 375 ÷ 150 because the decimal point in both the dividend and divisor is moved two places to the left.

This is equivalent to multiplying both the dividend and divisor by 100.

So,

The final answer is:

`\textsf{ The dividend and divisor were both multiplied by \boxed{\sf 100} }`

`\sf \textsf{The quotient of both expressions is \boxed{ \sf 2.5. } }`