Chapter 1, Foundations Video Solutions, Elementary Algebra | Numerade (2024)

In the following exercises, find the place value of each digit in the given numbers.
51,493 ? 1, ? 4, ? 9, ? 5, ? 3

In the following exercises, find the place value of each digit in the given numbers.
. 87,210 ? 2 ? 8 ? 0 ? 7 ? 1

In the following exercises, find the place value of each digit in the given numbers.
164,285 ? 5, ? 6, ? 1, ? 8, ? 2

In the following exercises, find the place value of each digit in the given numbers.
395,076 ? 5 ? 3 ? 7 ? 0 ? 9

In the following exercises, find the place value of each digit in the given numbers.
93,285,170 ? 9 ? 8 ? 7 ? 5 ?3

In the following exercises, find the place value of each digit in the given numbers.
36,084,215 ? 8 ? 6 ? 5 ? 4 ?3

In the following exercises, find the place value of each digit in the given numbers.
7,284,915,860,132 ? 7 ? 4 ? 5 ? 3 ? 0

In the following exercises, find the place value of each digit in the given numbers.
2,850,361,159,433
? 9
? 8
? 6
? 4
? 2

In the following exercises, name each number using words.
$$
1,078
$$

In the following exercises, name each number using words.
$$
5,902
$$

In the following exercises, name each number using words.
$$
364,510
$$

In the following exercises, name each number using words.
$$
146,023
$$

In the following exercises, name each number using words.
$$
5,846,103
$$

In the following exercises, name each number using words.
$$
1,458,398
$$

In the following exercises, name each number using words.
$$
37,889,005
$$

In the following exercises, name each number using words.
$$
62,008,465
$$

In the following exercises, write each number as a whole number using digits.
four hundred twelve

In the following exercises, write each number as a whole number using digits.
. two hundred fifty-three

In the following exercises, write each number as a whole number using digits.
thirty-five thousand, nine hundred seventy-five

In the following exercises, write each number as a whole number using digits.
sixty-one thousand, four hundred fifteen

In the following exercises, write each number as a whole number using digits.
eleven million, forty-four thousand, one hundred sixtyseven

In the following exercises, write each number as a whole number using digits.
eighteen million, one hundred two thousand, seven hundred eighty-three

In the following exercises, write each number as a whole number using digits.
three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen

In the following exercises, write each number as a whole number using digits.
eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six

In the following, round to the indicated place value.
Round to the nearest ten.
? 386 ? 2,931

In the following, round to the indicated place value.
Round to the nearest ten.
? 792 ? 5,647

In the following, round to the indicated place value.
Round to the nearest hundred.
? 13,748 ? 391,794

In the following, round to the indicated place value.
Round to the nearest hundred.
? 28,166 ? 481,628

In the following, round to the indicated place value.
Round to the nearest ten.
? 1,492 ? 1,497

In the following, round to the indicated place value.
Round to the nearest ten.
? 2,791 ? 2,795

In the following, round to the indicated place value.
Round to the nearest hundred.
? 63,994 ? 63,940

In the following, round to the indicated place value.
Round to the nearest hundred.
? 49,584 ? 49,548

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
392,546

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
619,348

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
2,586,991

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
4,287,965

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$84$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$9,696$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$75$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$78$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$900$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$800$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$986$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$942$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$350$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$550$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$22,335$

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$39,075$

In the following exercises, find the prime factorization.
$86$

In the following exercises, find the prime factorization.
$78$

In the following exercises, find the prime factorization.
$132$

In the following exercises, find the prime factorization.
$455 $

In the following exercises, find the prime factorization.
$693$

In the following exercises, find the prime factorization.
$400$

In the following exercises, find the prime factorization.
$432 $

In the following exercises, find the prime factorization.
$627 $

In the following exercises, find the prime factorization.
$2,160$

In the following exercises, find the prime factorization.
$2,520$

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$8, 12$

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$4, 3$

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$12, 16$

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$30, 40 $

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$20, 30$

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$44, 55$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$8, 12$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$12, 16$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$28, 40$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$84, 90$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$55, 88$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$60, 72$

Jorge bought a car for $24,493. He paid for the car with a check. Write the purchase price in words.

Marissa’s kitchen remodeling cost $18,549. She wrote a check to the contractor. Write the amount paid in words.

Jorge bought a car for $24,493. Round the price to the nearest?ten?hundred?thousand; and ? ten-thousand.

Marissa’s kitchen remodeling cost $18,549, Round the cost to the nearest ? ten ? hundred ? thousand and ? ten-thousand.

The population of China was 1,339,724,852 on November 1, 2010. Round the population to the nearest ?billion?hundred-million; and ? million.

The average distance between Earth and the sun is 149,597,888 kilometers. Round the distance to the nearest ? hundred-million ? tenmillion; and ? million.

Hot dogs are sold in packages of 10, but hot dog buns come in packs of eight. What is the smallest number that makes the hot dogs and buns come out even?

Paper plates are sold in packages of 12 and party cups come in packs of eight. What is the smallest number that makes the plates and cups come out even?

Give an everyday example where it helps to round numbers.

If a number is divisible by 2 and by 3 why is it also divisible by 6?

What is the difference between prime numbers and composite numbers?

Explain in your own words how to find the prime factorization of a composite number, using any method you prefer.