Question Video: Identifying the Four-Digit Number That Makes a Number Sentence Correct | Nagwa Question Video: Identifying the Four-Digit Number That Makes a Number Sentence Correct | Nagwa

# Question Video: Identifying the Four-Digit Number That Makes a Number Sentence Correct Mathematics • Third Year of Primary School

Fill in the blank: 2,415 < ＿ < 2,561 < 2,678. [A] 2,574 [B] 2,387 [C] 2,487 [D] 2,450

04:06

### Video Transcript

Fill in the blank: 2,415 is less than what, which is less than 2,561, which is less than 2,678. Is the missing number 2,574, 2,387, 2,487, or 2,450?

In this question, we have to find the correct number to place in between the numbers 2,415 and 2,561. Our number is greater than 2,415 but less than 2,561. Let’s use our place value table to help us find the number between 2,415 and 2,561. Let’s start by looking at our first number, 2,574. Each of our numbers has a two in the thousands place. Each number is worth 2,000 and something. We’re going to need to compare the hundreds digits.

Our first number has four 100s, and the others have five 100s. We know that five 100s are worth more than four 100s, so this could be the number we’re looking for. But we’re going to need to compare the tens digits. 2,574 has two 1,000s, five 100s, and seven 10s. 2,561 has two 1,000s, five 100s, and six 10s. The number we’re looking for has to be worth less than 2,561. So this can’t be the number we’re looking for because seven 10s are worth more than six 10s, not less.

Let’s try a second number, 2,387. Again, each of our numbers has the same amount of thousands. 2,415 has four 100s, and 2,387 only has three 100s. We’re looking for a number which is greater than 2,415, and we know that three 100s are worth less than four 100s. So this is not the number we’re looking for either. Is 2,487 greater than 2,415? Both of these numbers have two 1,000s, and both numbers have four 100s. Let’s compare the tens digits. 2,415 has one 10. 2,487 has eight 10s. Eight 10s are worth more than one 10, and eight 10s are worth more than six 10s. But 2,561 has five 100s, so it’s worth more than 2,487. This could be the number we’re looking for. 2,415 is less than 2,487, which is less than 2,561. The missing number is 2,487.

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