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# 2.4: Estimate Decimal Products and Quotients Using Leading Digits

Difficulty Level: At Grade Created by: CK-12
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Practice Small Decimal Rounding to a Leading Digit

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Have you ever had to figure out a dilemma involving money? Take a look at this situation.

### Vocabulary

Dividend
the number being divided in a division problem. It is often the first number in a problem written horizontally.
Divisor
the number doing the dividing in a division problem.
Estimate
an approximate answer that is reasonable and makes sense for the problem.
the first digits in a decimal-often the whole number part of the decimal.

### Guided Practice

Here is one for you to try on your own.

\begin{align*}120.0045 \div 6.237\end{align*}

Solution

First, we take only the leading digits and rewrite this problem.

\begin{align*}120 \div 6\end{align*}

Now our work is quite simple.

\begin{align*}120 \div 6 = 2\end{align*}

Our estimate is \begin{align*}2\end{align*}.

### Practice

Directions: Estimate each product or quotient by using leading digits.

1. \begin{align*}35.0012 \div 5.678\end{align*}

2. \begin{align*}5.123 \times 11.0023\end{align*}

3. \begin{align*}12.0034 \div 4.0012\end{align*}

4. \begin{align*}12.123 \times 3.0045\end{align*}

5. \begin{align*}48.0012 \div 12.098\end{align*}

6. \begin{align*}13.012 \times 3.456\end{align*}

7. \begin{align*}33.234 \div 11.125\end{align*}

8. \begin{align*}12.098 \times 2.987\end{align*}

9. \begin{align*}4.769 \times 8.997\end{align*}

10. \begin{align*}14.98 \div 7.002\end{align*}

11. \begin{align*}24.56087 \div 8.0012\end{align*}

12. \begin{align*}45.098 \div 5.0098\end{align*}

13. \begin{align*}9.0987 \times 9.0001\end{align*}

14. \begin{align*}34.021 \times 4.012\end{align*}

15. \begin{align*}21.0098 \times 2.0987\end{align*}

16. \begin{align*}14.231 \times 3.7601\end{align*}

17. \begin{align*}144.0056 \div 12.0112\end{align*}

### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

### Vocabulary Language: English

Dividend

In a division problem, the dividend is the number or expression that is being divided.

divisor

In a division problem, the divisor is the number or expression that is being divided into the dividend. For example: In the expression $152 \div 6$, 6 is the divisor and 152 is the dividend.

Estimate

To estimate is to find an approximate answer that is reasonable or makes sense given the problem.

The leading digit of a decimal number less than one is the first digit to the right of the decimal point that is not a zero.

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