Question

lesson plan
math homework practice daily review
name:__ 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.

14.297 > 14.209
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. 5.190 < 5.195
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? braydens house

Explanation:

Step1: Analyze option A

Adding trailing - zeros to the right of the last non - zero digit in a decimal does not change its value. 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 whole - number part first. $0.149$ has a whole - number part of $0$, and $1.490$ has a whole - number part of $1$. 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.

Answer:

D. $108.308>108.4$