Question

lesson plan
name: math homework practice daily review
date:
comparing decimals
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 0.140 < 1.400
d 108.308 > 108.4
zoe chose a as the correct answer. how did she get that answer?
2.
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?
heathers rabbit has a mass of 5.190 kilograms. jeffs 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

42.300 is equal to 42.3 because trailing zeros after the last non - zero digit in a decimal do not change the value. This comparison is true.

Step2: Analyze option B

In 5.020 and 5.20, comparing the tenths place, 0 < 2. So 5.020 < 5.20 is true.

Step3: Analyze option C

In 0.140 and 1.400, comparing the ones place, 0 < 1. So 0.140 < 1.400 is true.

Step4: Analyze option D

In 108.308 and 108.4, comparing the tenths place, 3 < 4. So 108.308 < 108.4, and the statement 108.308 > 108.4 is false.

Step5: Gas purchase comparison

Ellie has 14.297 gallons and Alivia has 14.209 gallons. Comparing the hundredths place, 9 > 0. The inequality is 14.297>14.209.

Step6: Rabbit mass comparison

Heather's rabbit has mass 5.190 kg and Jeff's has mass 5.195 kg. Comparing the thousandths place, 0 < 5. The inequality is 5.190<5.195.

Step7: Rainfall comparison

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

Answer:

1. D is the incorrect comparison.
2. 14.297>14.209
3. 5.190<5.195
4. Brayden's house