Question

lesson plan
name:__________ math homework practice daily review
date:______________
comparing decimals

1. which of the following comparisons is not true? circle the letter of the correct answer.

a 42.300 = 42.3
b 5.020 < 5.20
c 0.149 < 1.490
d 108.308 > 108.4
ava chose a as the correct answer. how did she get that answer?

1. ellie fills her car with 14.297 gallons of gas. alivia fills her car with 14.209 gallons of gas. write an inequality statement comparing the two gas purchases.

show your work.
how do i use place value to compare numbers?
heather’s rabbit has a mass of 5.190 kilograms. jeff’s rabbit has a mass of 5.195 kilograms. write an inequality statement comparing the masses of the rabbits.
brayden and his cousin kayla live twenty miles away from each other. on the same day, brayden recorded 1.046 inches of rain at his house and kayla recorded 1.062 inches of rain at her house. whose house received fewer inches of rain that day?

Explanation:

Step1: Analyze option A

Adding trailing zeros to the right - most digit after the decimal point does not change the value of a decimal. So, $42.300 = 42.3$ is true.

Step2: Analyze option B

Compare the tenths place. In $5.020$, the digit in the tenths place is $0$, and in $5.20$, the digit in the tenths place is $2$. Since $0<2$, $5.020 < 5.20$ is true.

Step3: Analyze option C

Compare the units place. In $0.149$, the units - place digit is $0$, and in $1.490$, the units - place digit is $1$. Since $0 < 1$, $0.149<1.490$ is true.

Step4: Analyze option D

Compare the tenths place. In $108.308$, the digit in the tenths place is $3$, and in $108.4$, the digit in the tenths place is $4$. Since $3<4$, $108.308<108.4$, so $108.308 > 108.4$ is false.

For the second part about gas purchases:

Step1: Compare the decimals

Ellie has $14.297$ gallons and Alivia has $14.209$ gallons. Compare the hundredths place. Since $9 > 0$, the inequality is $14.297>14.209$.

For the rabbits' masses:

Step1: Compare the decimals

Heather's rabbit has a mass of $5.190$ kg and Jeff's rabbit has a mass of $5.195$ kg. Compare the thousandths place. Since $0<5$, the inequality is $5.190<5.195$.

For the rain amounts:

Step1: Compare the decimals

Brayden recorded $1.046$ inches and Kayla recorded $1.062$ inches. Compare the hundredths place. Since $4 < 6$, Brayden's house received fewer inches of rain.

Answer:

1. The comparison that is not true is D.
2. $14.297>14.209$
3. $5.190<5.195$
4. Brayden's house