Question

according to a survey, 37,482,665 people can speak a language other than their native language. round this number to the nearest, a. hundred, b. thousand, c. ten thousand, d. hundred thousand, e. million, f. ten million.

a. the number 37,482,665 rounded to the nearest hundred is 37482700.

b. the number 37,482,665 rounded to the nearest thousand is □.

Explanation:

Step1: Identify the digit in the thousands place

The number is 37,482,665. The thousands place is the digit 2 (from 37,482,665, breaking it down: 37,482,665 = 3×10,000,000 + 7×1,000,000 + 4×100,000 + 8×10,000 + 2×1,000 + 6×100 + 6×10 + 5×1). Wait, no, let's correct the place values. 37,482,665: the digits are (from right, starting at 0):

• Position 0: 5 (ones)
• Position 1: 6 (tens)
• Position 2: 6 (hundreds)
• Position 3: 2 (thousands)
• Position 4: 8 (ten - thousands)
• Position 5: 4 (hundred - thousands)
• Position 6: 7 (millions)
• Position 7: 3 (ten - millions)

Wait, actually, when rounding to the nearest thousand, we look at the hundreds place (position 2) to determine rounding. The number is 37,482,665. To round to the nearest thousand, we consider the last three digits (the ones, tens, hundreds place) and the thousands place. The thousands digit is the digit in the 1000s place, which is 2 (since 37,482,665 = 37,482×1000 + 665). Wait, no, 37,482,665 divided by 1000 is 37,482.665. So the number before the decimal is 37,482, and the decimal part is 0.665. To round to the nearest thousand, we look at the digit in the hundreds place of the original number, which is 6 (since the number is 37,482,665, the digits are: 3 (ten - millions), 7 (millions), 4 (hundred - thousands), 8 (ten - thousands), 2 (thousands), 6 (hundreds), 6 (tens), 5 (ones)). The rule for rounding is: if the digit in the next lower place (hundreds place, which is 6) is 5 or more, we round up the thousands place. So the thousands digit is 2, and the hundreds digit is 6 (which is ≥5), so we add 1 to the thousands digit. So 2 + 1 = 3, and the digits after the thousands place become 0. Wait, no, let's do it properly. The number is 37,482,665. To round to the nearest thousand, we look at the hundreds digit (6). Since 6 ≥ 5, we round up the thousands digit. The thousands digit is 2 (in 37,482,665, the thousands place is the 4th digit from the right? Wait, no, let's count the places from the right:

• 1st: ones (5)
• 2nd: tens (6)
• 3rd: hundreds (6)
• 4th: thousands (2)
• 5th: ten - thousands (8)
• 6th: hundred - thousands (4)
• 7th: millions (7)
• 8th: ten - millions (3)

So the thousands digit is 2 (4th from the right), and the hundreds digit is 6 (3rd from the right). Since 6 ≥ 5, we round up the thousands digit: 2 + 1 = 3. Then we set all the digits to the right of the thousands place (hundreds, tens, ones) to 0. So the number becomes 37,483,000. Wait, let's verify: 37,482,665. The nearest thousand: the thousands below it is 37,482,000, and the thousands above is 37,483,000. The distance from 37,482,665 to 37,482,000 is 665, and to 37,483,000 is 335. Since 335 < 665, we round up to 37,483,000.

Step2: Confirm the rounding

So the number 37,482,665 rounded to the nearest thousand is 37,483,000.

Answer:

37483000