All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 10 Check My Progress will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Chapter 10 Check My Progress Answer Key
Check My Progress Page No. (649 – 650)
Vocabulary Check
Write true or false.
Question 1.
A decimal is a number that uses place value and a decimal point to show part of a whole ________________.
Answer: True
A decimal number consists of a whole number and a fractional part separated by a dot known as the decimal point. For instance, the decimal number 2.36 has two parts: a whole number portion of 2 and a fractional portion of.36. The place values of all the digits, including those before and after the decimal point, are indicated using decimal place value. The place values often represented by the digits preceding the decimal point are ones, tens, hundreds, thousands, and so forth. The place values represented by the numbers following the decimal point begin with the tenth, followed by hundredths, then thousandths, and so on.
Question 2.
In the number 0.36, the 3 is in the tenths place. ____________
Answer: True
The place values represented by the numbers following the decimal point begin with the tenth, followed by hundredths, then thousandths, and so on. Here, decimal point is followed by number 3, which clearly indicates its position in tenths place. Therefore, the answer is True.
Question 3.
In the number 0.58, the 5 is in the hundredths place. _____________
Answer: False
The place values represented by the numbers following the decimal point begin with the tenth, followed by hundredths, then thousandths, and so on. Here, decimal point is followed by number 5, which clearly indicates its position in tenths place. Therefore, the answer is False.
Concept Check
Write each decimal.
Question 4.
four-tenths
Answer: 0.4
If you divide 4 by ten you get four tenths as a decimal which is 0.4.
Question 5.
thirty-two hundredths
Answer: 0.32
If you divide 32 by one hundred you get 32 hundredths as a decimal which is 0.32.
Shade the model. Then write the decimal.
Question 6.
three out of ten
Answer: 0.3
The yellow color in the above figure indicates three out of ten, which means three tenths.
If you divide 3 by ten you get four tenths as a decimal which is 0.3.
Question 7.
eight out of ten
Answer: 0.8
The Blue color in the above figure indicates Eight out of ten, which means eight tenths.
If you divide 8 by ten you get four tenths as a decimal which is 0.8.
Write each decimal.
Question 8.
Answer: 0.03
3 blocks are in red color out of total 100 blocks. So if you divide 3 by 100, you get 0.03 as decimal.
Question 9.
Answer: 0.44
44 blocks are in red color out of total 100 blocks. So if you divide 44 by 100, you get 0.44 as decimal.
Problem Solving
Question 10.
The distance between the grocery store and the post office is thirty-four hundredths of a mile. Write this distance as a decimal.
Answer: 0.34
If you divide 34 by hundred you get thirty four hundredths as a decimal which is 0.34.
Question 11.
There are ten fish in an aquarium. Four of them are blue. Write a decimal to show the part of the fish that are blue.
Answer: 0.4
4 fishes are in Blue color out of 10 total fishes. If you divide 4 by ten you get the part of dish that are blue in color in decimal, which is 0.4 .
Question 12.
William found the coins shown in his pocket. What part of a dollar are the coins? Write a decimal to show your answer.
Answer: 0.41
dime equals 10 cents
quarter equals 25 cents
penny equals 1 cent
nickel equals to 5 cents
So total = 41 cents
Therefore, 41 divided by 100 cents, which is equal to 0.41 in decimal.
Question 13.
There are ten questions on a test. Sophie answered 8 of them correctly. Write a decimal to show what part of the test she answered correctly.
Answer: 0.8
Sophie answered 8 correctly out of 10 questions. If you divide 8 by ten you get the part of the test she answered correctly in decimal, which is 0.8.
Test Practice
Question 14.
Which of the following is represented by the number line?
(A) 4.0
(B) four-tenths
(C) 4 out of 5
(D) four hundredths
Answer: B (four – tenths)
four tenths is four divided by ten, which is 0.4 in decimal.