We can find a good estimate for the sum of two decimals by first rounding each decimal to the nearest whole number.

To illustrate, let's find an estimate for the value of 16.6+1.3.

First, we round both numbers to the nearest whole number: \begin{array}{ccccl} 16.6& + & 1.3 \\ \big\downarrow && \big\downarrow \\ \color{blue}17 & + & \color{blue}1 \end{array}

Then, we calculate the sum: {\color{blue}17} + {\color{blue}1} = 18

Therefore, 16.6+1.3 is about 18.

The exact answer is 17.9, so our estimate is pretty close.

FLAG

Estimate 15.123 + 8.8 by rounding each number to the nearest whole number.

EXPLANATION

First, we round both numbers to the nearest whole number: \begin{array}{ccccl} 15.123 & + & 8.8 \\ \big\downarrow && \big\downarrow \\ \color{blue}15 & + & \color{blue}9 \end{array}

Next, we calculate the sum: {\color{blue}15} + {\color{blue}9} = 24

Therefore, 15.123 + 8.8 is about 24.

FLAG

By rounding each number to the nearest whole number, estimate the value of $22.75 + 5.43.$

a
$25$
b
$27$
c
$20$
d
$30$
e
$28$

By rounding each number to the nearest whole number, estimate the value of $2.7 + 5.4.$

a
$9$
b
$15$
c
$7$
d
$8$
e
$6$

Joe cuts a piece of wire into two lengths. One part is 8.15 meters long, and the other part is 7.75 meters long. By rounding each number to the nearest whole number, estimate the length of the wire before Joe cut it.

EXPLANATION

To estimate the initial length of the wire, we need to estimate the sum 8.15+ 7.75.

First, we round both numbers to the nearest whole number: \begin{array}{ccccl} 8.15 & + & 7.75 \\ \big\downarrow && \big\downarrow \\ \color{blue}8 & + & \color{blue}8 \end{array}

Next, we calculate the sum: {\color{blue}8} + {\color{blue}8} = 16

Therefore, the length of the wire was approximately 16 meters before Joe cut it.

FLAG

Lisa has two piggy banks. She's saved $\$23.90$ in one and $\$19.25$ in the other. By rounding each number to the nearest dollar, estimate how much Lisa saved in total.

a
$\$43$
b
$\$42$
c
$\$45$
d
$\$41$
e
$\$44$

Barbara buys $5.45$ pounds of apples and $2.87$ pounds of plums. By rounding each number to the nearest whole number, estimate the total weight of the fruits that Barbara purchased.

a
$8$ pounds
b
$7$ pounds
c
$9$ pounds
d
$6$ pounds
e
$15$ pounds

We also use rounding to estimate the difference of two decimals. To illustrate, let's find an estimate of 25.85- 12.32.

First, we round both numbers to the nearest whole number: \begin{array}{ccccl} 25.85 & - & 12.32 \\ \big\downarrow && \big\downarrow \\ \color{blue}26 & - & \color{blue}12 \end{array}

Then, we calculate the difference: {\color{blue}26} - {\color{blue}12} = 14

Therefore, 25.85-12.32 is about 14.

FLAG

By rounding each number to the nearest whole number, estimate the value of 55.1 - 24.76.

EXPLANATION

First, we round both numbers to the nearest whole number: \begin{array}{ccccl} 55.1 & - & 24.76 \\ \big\downarrow && \big\downarrow \\ \color{blue}55 & - & \color{blue}25 \end{array}

Next, we calculate the difference: {\color{blue}55} - {\color{blue}25} = 30

Therefore, 55.1 - 24.76 is approximately 30.

FLAG

Estimate $29.85- 2.32$ by rounding each number to the nearest whole number.

a
$28$
b
$2$
c
$25$
d
$27$
e
$29$

Estimate $28.6 - 23.3$ by rounding each number to the nearest whole number.

a
$11$
b
$25$
c
$5$
d
$3$
e
$6$

A meteorologist measures the total amount of rainfall that two cities, city A and city B , received in a week. He found that both cities received a combined total of 14.7 inches of rain. If city A received 5.745 inches of rain, then by rounding each number to the nearest whole number, estimate the amount of rainfall that city B received.

EXPLANATION

To estimate the total amount of rain that city B received, we need to estimate the difference 14.7 - 5.745.

First, we round both numbers to the nearest whole number: \begin{array}{ccccl} 14.7& - & 5.745 \\ \big\downarrow && \big\downarrow \\ \color{blue}15 & - & \color{blue}6 \end{array}

Next, we calculate the difference: {\color{blue}15} - {\color{blue}6} = 9

Therefore, city B received approximately 9 inches of rainfall during the week.

FLAG

Peter had a lunch that contained some french fries. The lunch contained $100.79$ calories in total. If the fries alone contained $70.75$ calories, then by rounding each decimal to the nearest whole number, estimate how many calories were in the rest of his lunch.

a
$28$ calories
b
$30$ calories
c
$24$ calories
d
$33$ calories
e
$32$ calories

Brad joined two pieces of wire together to make a wire that was $17.2$ meters long. If the first piece of wire was $7.8$ meters long, then by rounding each number to the nearest whole number, estimate the length of the second piece of wire.

a
$7$ meters
b
$8$ meters
c
$10$ meters
d
$11$ meters
e
$9$ meters
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