All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 1 Check My Progress will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Chapter 1 Check My Progress Answer Key
Check My Progress Page No. 35-36
Vocabulary Check
Choose the correct word(s) to complete each sentence.
decimal expanded form period standard form
Question 1.
Each group of three digits on a place-value chart is called a(n) _____.
Answer: Period
In larger numbers, digits are grouped in threes, where each digit represents one place value. The groups of three digits are referred to as periods and are typically separated by commas.
Question 2.
____ is the usual or common way to write a number using digits.
Answer: standard form.
Standard form is the method of representing a particular element in the most common manner. From large numbers to small numbers to equations to lines, every element in maths is denoted in a standard form.
Question 3.
A(n) ____ is a number with a digit in the tenth place, hundredths place, and/or beyond.
Answer: decimal
decimals are one the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.
Question 4.
A way of writing a number as the sum of the values of its digits is called ____
Answer: Expanded form.
An expanded form is a way to write a number by making explicit the place value of its digits. We can use a place value chart to think of the value of a number’s digits. We can write a number in its expanded form, splitting numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on.
Concept Check
Name the place of the underlined digit. Then write the value of the digit.
Question 5.
42,924,603
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 2 and its position is in the place of a million.
Question 6.
953,187
Answer:
– Place value, in mathematics, describes the value of every digit in a number depending on its position. These positions start from the unit’s place (one’s place). The order of the place value of digits in a number from right to left is expressed as ones/units, tens, hundreds, thousands, ten thousand, and so on.
The underlined number is 5 and its position is ten thousand
Question 7.
Write 13,180,000 in expanded form.
Answer:
The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.
1 x 10,000,000 = 10,000,000
3 x 1,000,000 = 3,000,000
1 x 1,00,000 = 1,00,000
8 x 10,000 = 80,000
0 x 1,000 = 0
0 x 100 = 0
0 x 10 = 0
0 x 1 = 0
The expanded notation form is 10,000,000 + 3,000,000 + 1,00,000 + 80,000 + 0 + 0 + 0 + 0.
Question 8.
Write 4,730,000 in word form.
Answer:
The numbers described above fall within the one’s period and involve ones, tens, and hundreds. The next period is the thousands, which also includes ones (thousand), tens (ten thousand), and hundreds (hundred thousand). This pattern continues for all the larger numbers (the smaller ones as well, if there are decimal places). To write a given number in word form, identify the largest place value, write each number as we would in the ones place based on hundreds, tens, and ones, then write which period the digits fit into, whether it be millions, thousands, etc., but excluding the ones. Repeat this process from left to right.
The word form:
Four million and seven hundred and thirty thousand.
Write <, >. or = in each 
to make a true sentence.
Question 9.
84 90
Answer:
There are certain rules, based on which it becomes easier to compare numbers. These rules are:
– Numbers with more digits
– Numbers starting with a larger digit
– Since, both the numbers,84 and 90 are having two digits, thus we will compare the left-most digit of both numbers.
8 < 9
Therefore,
84 < 90
Hence, 84 is less than 90.
Question 10.
542 524
Answer:
There are certain rules, based on which it becomes easier to compare numbers. These rules are:
– Numbers with more digits
– Numbers starting with a larger digit
– Since, both the numbers, 542 and 524 are having three digits, thus we will compare the left-most digit of both numbers.
As we can see the first digit is the same for both numbers, thus we need to compare the next left-most digit of both numbers.
4 > 2
Therefore,
542 > 524
Hence, 542 is greater than 524.
Question 11.
925 1,024
Answer:
There are certain rules, based on which it becomes easier to compare numbers. These rules are:
– Numbers with more digits
– Numbers starting with a larger digit
since 925 has three digits and 1024 has four digits, therefore, according to rule 1, the number with more digits is greater than the number with fewer digits.
Therefore,
925 < 1024.
Hence, 924 is less than 1024.
Question 12.
6,123 6,231
Answer:
There are certain rules, based on which it becomes easier to compare numbers. These rules are:
– Numbers with more digits
– Numbers starting with a larger digit
– Since, both the numbers, 6123 and 6231 are having four digits, thus we will compare the left-most digit of both numbers.
As we can see the first digit is the same for both numbers, thus we need to compare the next left-most digit of both numbers.
1 < 2
Therefore,
6123 < 6231
Hence, 6123 is less than 6231.
Shade the model. Then write each fraction in word form and as a decimal.
Question 13.
\(\frac{1}{10}\)
Answer:
The above-given model is the tenth cube.
So, we have to shade 1 column because the given fraction is
Question 14.
\(\frac{85}{100}\)
Answer:
The above-given model is the cube of the hundredth.
The above-given fraction is 85/100
so we need to shade 85 boxes.
Question 15.
\(\frac{39}{1,000}\)
Answer:
The above-given model is the cube of thousandth.
The above-given fraction is 39/1000
So we need to shade 39 boxes.
Problem Solving
Question 16.
The attendance at Friday’s baseball game was 45,673. Sunday’s game attendance was 45,761. Which game had a greater attendance?
Answer:
The baseball game attendance on Friday was 45,673
The baseball game attendance on Saturday was 45,671
We need to find out which one has a greater attendance.
Now compare the numbers.
– Her, the first four digits are the same so we need to compare the next left-most digit.
3 > 1
Therefore,
45,673 > 45,671
Hence, Friday’s attendance is greater than Sunday’s attendance.
Question 17.
The shortest fish ever recorded is the dwarf goby, found in the Indo-Pacific. The female of this species is about \(\frac{35}{100}\) inch long. Use a decimal to write the female’s length.
Answer:
The above-given fraction is 35/100
We need to write that fraction in decimal.
In decimal, we can write it as 0.35
Test Practice
Question 18.
Which decimal represents the shaded part of the figure?
A. 0.0052
B. 0.052
C. 0.52
D. 5.2
Answer: Option C is correct.
The above-given model is the cube of the hundredth.
And moreover, 52 boxes are shaded.
The fraction can be written as 52/100
In decimals, we can write as 0.52