Standard Form From Words
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ISEE Lower Level: Mathematics Achievement › Standard Form From Words
A charity drive collected a total of "one million, two hundred thousand" pennies. If there are one hundred pennies in a dollar, how many dollars were collected?
120,000
12,000
1,200,000
1,200
Explanation
First, write the total number of pennies in standard form: "one million, two hundred thousand" is 1,200,000. To find the number of dollars, divide the total number of pennies by 100: 1,200,000 ÷ 100 = 12,000.
A stadium has a capacity of forty-five thousand, six hundred people. On game day, the attendance was forty-three thousand, eight hundred. How many empty seats were there?
1,200
1,800
2,200
89,400
Explanation
First, write the capacity and attendance in standard form. Capacity: 45,600. Attendance: 43,800. To find the number of empty seats, subtract the attendance from the capacity: 45,600 - 43,800 = 1,800.
The number of stars in a small galaxy is estimated to be "three hundred million, five hundred thousand, two hundred." Which of the following shows this number written correctly in expanded form?
3,000,000 + 500,000 + 200
300,000,000 + 50,000 + 200
300 + 500 + 200
300,000,000 + 500,000 + 200
Explanation
First, write the number in standard form: "three hundred million, five hundred thousand, two hundred" is 300,500,200. In expanded form, this number is the sum of the values of its digits: 300,000,000 + 500,000 + 200.
A city's population is two hundred fifty thousand, ninety-six. A neighboring city has a population that is one thousand less. What is the population of the neighboring city?
249,096
250,096
249,996
251,096
Explanation
First, write the city's population in standard form: "two hundred fifty thousand, ninety-six" is 250,096. The problem states the neighboring city has one thousand less, so subtract 1,000 from this number. 250,096 - 1,000 = 249,096.
In the number represented by "seven hundred three thousand, one hundred ninety-four," what is the value of the digit 3?
300
3
30,000
3,000
Explanation
First, write the number in standard form: 703,194. The digit 3 is in the thousands place. Therefore, its value is 3 × 1,000, which is 3,000.
A video game company sold six million, twenty thousand, three hundred copies of its most popular game. How is this number written in standard form?
6,020,300
6,002,300
6,020,030
6,200,300
Explanation
To write "six million, twenty thousand, three hundred" in standard form, break it down by place value. The millions place has a 6. The thousands period has "twenty," so there is a 2 in the ten thousands place and a 0 in the thousands place. The hundreds place has a 3. All other places are filled with zeros as placeholders. This gives 6,020,300.
A bank vault contains one hundred fifty thousand, thirty-six dollars. If a security guard removes one hundred dollars, how much money remains in the vault?
150,036
150,136
149,936
149,036
Explanation
First, write the amount of money in standard form: "one hundred fifty thousand, thirty-six" is 150,036. Then, subtract the one hundred dollars that were removed: 150,036 - 100 = 149,936.
The attendance at a major sporting event was announced as "fifty thousand, six hundred two." Which digit is in the tens place of this number?
0
2
5
6
Explanation
First, convert the number from words to standard form. "Fifty thousand, six hundred two" is written as 50,602. The places are ten thousands (5), thousands (0), hundreds (6), tens (0), and ones (2). The digit in the tens place is 0.
A scientist measured the width of a specimen to be "four and thirty-two thousandths" centimeters. How is this measurement written in standard form?
4.032
4.0032
4,032
4.32
Explanation
In word form for numbers with decimals, the word "and" represents the decimal point. "Four" is the whole number part. "Thirty-two thousandths" means the last digit of 32 should be in the thousandths place (the third place after the decimal). This is written as 0.032. Combining the whole number and the decimal part gives 4.032.
A factory produced sixteen thousand, seventy-one parts in March and sixty thousand, seventeen parts in April. What is the standard form for the number of parts produced in April?
60,170
16,710
60,017
16,071
Explanation
The question asks for the number of parts produced in April. The number given for April is "sixty thousand, seventeen." In standard form, this is written as 60,017. The number for March, 16,071, is a distractor.