Question

d round each amount to the nearest dollar. 1 $5.39 2 $7.49 3. $10.51 4. $19.89 c what is the place value of the underlined number? 1 43,675 2 138,249 3. 297,183

Explanation:

Step1: Analyze the first place - value problem (43,675)

In the number 43,675, the underlined digit is 6. Let's recall the place - value system. From right to left, the places are: ones, tens, hundreds, thousands, ten - thousands, etc. The digit 6 is in the hundreds place (since we count: 5 is ones, 7 is tens, 6 is hundreds, 3 is thousands, 4 is ten - thousands). So the place value of 6 in 43,675 is 6 hundreds or 600.

Step2: Analyze the second place - value problem (138,249)

In the number 138,249, the underlined digit is 3. Let's identify the place. From right to left: 9 is ones, 4 is tens, 2 is hundreds, 8 is thousands, 3 is ten - thousands, 1 is hundred - thousands. So the digit 3 is in the ten - thousands place. The place value of 3 in 138,249 is 3 ten - thousands or 30,000.

Step3: Analyze the third place - value problem (297,183)

In the number 297,183, the underlined digit is 2. From right to left: 3 is ones, 8 is tens, 1 is hundreds, 7 is thousands, 9 is ten - thousands, 2 is hundred - thousands. So the digit 2 is in the hundred - thousands place. The place value of 2 in 297,183 is 2 hundred - thousands or 200,000.

For the rounding to the nearest dollar:

Step1: Round $5.39$ to the nearest dollar

To round to the nearest dollar, we look at the tenths place. The rule for rounding is: if the digit in the tenths place is less than 5, we round down; if it is 5 or more, we round up. In $5.39$, the tenths digit is 3, which is less than 5. So we round down. $5.39\approx5$.

Step2: Round $7.49$ to the nearest dollar

In $7.49$, the tenths digit is 4, which is less than 5. So we round down. $7.49\approx7$.

Step3: Round $10.51$ to the nearest dollar

In $10.51$, the tenths digit is 5. When the tenths digit is 5 or more, we round up. So $10.51\approx11$.

Step4: Round $19.89$ to the nearest dollar

In $19.89$, the tenths digit is 8, which is more than 5. So we round up. $19.89\approx20$.

Answer:

s:

Rounding to the nearest dollar:

1. $\$5.39\approx\$5$
2. $\$7.49\approx\$7$
3. $\$10.51\approx\$11$
4. $\$19.89\approx\$20$

Place - value:

1. In 43,675, the place value of 6 is hundreds (or 600)
2. In 138,249, the place value of 3 is ten - thousands (or 30,000)
3. In 297,183, the place value of 2 is hundred - thousands (or 200,000)