Use $$ $$, or $$ = $$ to compare the $$ \begin{array}{cc}\begin{array}{ll} ext { (a) } 0.37 & \square 0.39 \ ext { (b) } 6.4 & \square 6.40 \ ext { (c) } 0.04 & \square 0.1\end{array} & \square\square & \square=\square \ imes & 5\end{array} $$

Question

Use $$ <,> $$, or $$ = $$ to compare the $$ \begin{array}{cc}\begin{array}{ll} ext { (a) } 0.37 & \square 0.39 \ ext { (b) } 6.4 & \square 6.40 \ ext { (c) } 0.04 & \square 0.1\end{array} & \square<\square \ \square>\square & \square=\square \ imes & 5\end{array} $$

UpStudy AI · Accepted Answer

Let's compare each pair of numbers using $$ < $$, $$ > $$, or $$ = $$:

### (a) Compare $$ 0.37 $$ and $$ 0.39 $$
$$ 0.37 < 0.39 $$

**Explanation:**  
When comparing decimal numbers, start from the left:
- Both have $$ 0 $$ in the units place.
- The tenths place: $$ 3 $$ vs. $$ 3 $$ (they are equal).
- The hundredths place: $$ 7 $$ vs. $$ 9 $$. Since $$ 7 < 9 $$, $$ 0.37 < 0.39 $$.

### (b) Compare $$ 6.4 $$ and $$ 6.40 $$
$$ 6.4 = 6.40 $$

**Explanation:**  
Adding a zero to the end of a decimal does not change its value. Thus, $$ 6.4 $$ is equal to $$ 6.40 $$.

### (c) Compare $$ 0.04 $$ and $$ 0.1 $$
$$ 0.04 < 0.1 $$

**Explanation:**  
Convert both numbers to the same number of decimal places for easier comparison:
- $$ 0.04 $$ is equivalent to $$ 0.040 $$.
- $$ 0.1 $$ is equivalent to $$ 0.100 $$.

Comparing digit by digit:
- Hundredths place: $$ 4 $$ vs. $$ 0 $$. However, since $$ 0.04 $$ is less than $$ 0.10 $$, $$ 0.04 < 0.1 $$.

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**Summary of Comparisons:**
- **(a)** $$ 0.37 < 0.39 $$
- **(b)** $$ 6.4 = 6.40 $$
- **(c)** $$ 0.04 < 0.1 $$
- **(a)** $$ 0.37 < 0.39 $$ - **(b)** $$ 6.4 = 6.40 $$ - **(c)** $$ 0.04 < 0.1 $$

Use , or to compare the

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